From f665c2c1429175427a98a97b236371b12644866a Mon Sep 17 00:00:00 2001
From: Sebastian Falbesoner <sebastian.falbesoner@gmail.com>
Date: Fri, 30 Jan 2026 01:46:35 +0100
Subject: [PATCH 1/7] BIP-352: introduce per-group recipient limit K_max
 (=2323)

In theory this is a backwards incompatible protocol change.
Practically, no existing Silent Payments wallets out there supports
sending to such a high quantity of recipients (not even in terms of
_total_ number of recipients), so the K_max limit should be safe to
introduce, without any negative effects in the wallet ecosystem.
---
 bip-0352.mediawiki    | 5 +++++
 bip-0352/reference.py | 9 +++++++++
 2 files changed, 14 insertions(+)

diff --git a/bip-0352.mediawiki b/bip-0352.mediawiki
index 3b200fef64..83cbd885f6 100644
--- a/bip-0352.mediawiki
+++ b/bip-0352.mediawiki
@@ -301,6 +301,8 @@ After the inputs have been selected, the sender can create one or more outputs f
 * Let ''input_hash = hash<sub>BIP0352/Inputs</sub>(outpoint<sub>L</sub> || A)'', where ''outpoint<sub>L</sub>'' is the smallest ''outpoint'' lexicographically used in the transaction<ref name="why_smallest_outpoint"></ref> and ''A = a·G''
 ** If ''input_hash'' is not a valid scalar, i.e., if ''input_hash = 0'' or ''input_hash'' is larger or equal to the secp256k1 group order, fail
 * Group receiver silent payment addresses by ''B<sub>scan</sub>'' (e.g. each group consists of one ''B<sub>scan</sub>'' and one or more ''B<sub>m</sub>'')
+* If any of the groups exceed the limit of ''K<sub>max</sub>'' (=2323) silent payment addresses, fail.<ref name="why_limit_k">'''Why is the size of groups (i.e. silent payment addresses sharing the same scan public key) limited by ''K<sub>max</sub>''?''' An adversary could construct a block filled with a single transaction consisting of N=23255 outputs (that's the theoretical maximum under current consensus rules, w.r.t. the block weight limit) that all target the same entity, consisting of one large group. Without a limit on the group size, scanning such a block with the algorithm described in this document would have a complexity of ''O(N<sup>2</sup>)'' for that entity, taking several minutes on modern systems. By capping the group size at ''K<sub>max</sub>'', we reduce the inner loop iterations to ''K<sub>max</sub>'', thereby decreasing the worst-case block scanning complexity to ''O(N·K<sub>max</sub>)''. This cuts down the scanning cost to the order of tens of seconds. The chosen value of ''K<sub>max</sub>'' = 2323 represents the maximum number of P2TR outputs that can fit into a 100kvB transaction, meaning a transaction that adheres to the current standardness rules is guaranteed to be within the limit. This ensures flexibility and also mitigates potential fingerprinting issues.</ref>
+
 * For each group:
 ** Let ''ecdh_shared_secret = input_hash·a·B<sub>scan</sub>''
 ** Let ''k = 0''
@@ -340,6 +342,7 @@ If each of the checks in ''[[#scanning-silent-payment-eligible-transactions|Scan
 * Check for outputs:
 ** Let ''outputs_to_check'' be the taproot output keys from all taproot outputs in the transaction (spent and unspent).
 ** Starting with ''k = 0'':
+*** If ''k == K<sub>max</sub>'' (=2323), stop scanning.<ref name="why_limit_k"></ref>
 *** Let ''t<sub>k</sub> = hash<sub>BIP0352/SharedSecret</sub>(ser<sub>P</sub>(ecdh_shared_secret) || ser<sub>32</sub>(k))''
 **** If ''t<sub>k</sub>'' is not a valid scalar, i.e., if ''t<sub>k</sub> = 0'' or ''t<sub>k</sub>'' is larger or equal to the secp256k1 group order, fail
 *** Compute ''P<sub>k</sub> = B<sub>spend</sub> + t<sub>k</sub>·G''
@@ -489,6 +492,8 @@ The <code>MAJOR</code> version is incremented if changes to the BIP are introduc
 The <code>MINOR</code> version is incremented whenever the inputs or the output of an algorithm changes in a backward-compatible way or new backward-compatible functionality is added.
 The <code>PATCH</code> version is incremented for other changes that are noteworthy (bug fixes, test vectors, important clarifications, etc.).
 
+* '''1.1.0''' (2026-03-02):
+** Introduce per-group recipient limit ''K<sub>max</sub>'' to mitigate quadratic scanning behavior for adversarial transactions.<ref name="why_limit_k"></ref>
 * '''1.0.2''' (2025-07-25):
 ** Clarify how to handle the improbable corner case where the output of SHA256 is equal to 0 or greater than or equal to the secp256k1 curve order.
 * '''1.0.1''' (2024-06-22):
diff --git a/bip-0352/reference.py b/bip-0352/reference.py
index c236c0dbd9..65e0d50468 100755
--- a/bip-0352/reference.py
+++ b/bip-0352/reference.py
@@ -26,6 +26,9 @@
     )
 
 
+K_max = 2323  # per-group recipient limit
+
+
 def get_pubkey_from_input(vin: VinInfo) -> ECPubKey:
     if is_p2pkh(vin.prevout):
         # skip the first 3 op_codes and grab the 20 byte hash
@@ -144,6 +147,10 @@ def create_outputs(input_priv_keys: List[Tuple[ECKey, bool]], outpoints: List[CO
         else:
             silent_payment_groups[B_scan] = [B_m]
 
+    # Fail if per-group recipient limit (K_max) is exceeded
+    if any([len(group) > K_max for group in silent_payment_groups.values()]):
+        return []
+
     outputs = []
     for B_scan, B_m_values in silent_payment_groups.items():
         ecdh_shared_secret = input_hash * a_sum * B_scan
@@ -175,6 +182,8 @@ def scanning(b_scan: ECKey, B_spend: ECPubKey, A_sum: ECPubKey, input_hash: byte
     k = 0
     wallet = []
     while True:
+        if k == K_max:  # Don't look further than the per-group recipient limit (K_max)
+            break
         t_k = TaggedHash("BIP0352/SharedSecret", ecdh_shared_secret.get_bytes(False) + ser_uint32(k))
         P_k = B_spend + t_k * G
         for output in outputs_to_check:

From 3aa17caaa31950d2f8879e4c1e384a9a777523ba Mon Sep 17 00:00:00 2001
From: Sebastian Falbesoner <sebastian.falbesoner@gmail.com>
Date: Thu, 26 Feb 2026 20:14:59 +0100
Subject: [PATCH 2/7] BIP-352: test vectors: allow specifying repeated
 recipients for sending

Introduce an optional "count" field for recipient objects.
Also update the documentation of the fields.
---
 bip-0352.mediawiki    | 10 +++++++++-
 bip-0352/reference.py |  6 +++++-
 2 files changed, 14 insertions(+), 2 deletions(-)

diff --git a/bip-0352.mediawiki b/bip-0352.mediawiki
index 83cbd885f6..508b801adc 100644
--- a/bip-0352.mediawiki
+++ b/bip-0352.mediawiki
@@ -393,7 +393,15 @@ A [[bip-0352/send_and_receive_test_vectors.json|collection of test vectors in JS
     {
         "given": {
             "vin": [<array of vin objects with an added field for the private key. These objects are structured to match the `vin` output field from `getrawtransaction verbosity=2`>],
-            "recipients": [<array of strings, where each string is a bech32m encoding representing a silent payment address>]
+            "recipients": [<array of recipient objects, consisting of the address and its contained scan/spend public keys each>
+                {
+                    "address": <bech32m encoding representing a silent payment address>,
+                    "scan_pub_key": <hex encoded scan public key>,
+                    "spend_pub_key": <hex encoded spend public key>,
+                    "count": <optional integer for specifying the same recipient repeatedly (1 by default)>
+                },
+                ...
+            ]
         },
         "expected": {
             "outputs": [<array of strings, where each string is a hex encoding of 32-byte X-only public key; contains all possible output sets, test must match a subset of size `n_outputs`>],
diff --git a/bip-0352/reference.py b/bip-0352/reference.py
index 65e0d50468..cab3972f22 100755
--- a/bip-0352/reference.py
+++ b/bip-0352/reference.py
@@ -268,7 +268,11 @@ def scanning(b_scan: ECKey, B_spend: ECPubKey, A_sum: ECPubKey, input_hash: byte
             sending_outputs = []
             if (len(input_pub_keys) > 0):
                 outpoints = [vin.outpoint for vin in vins]
-                sending_outputs = create_outputs(input_priv_keys, outpoints, given["recipients"], expected=expected, hrp="sp")
+                recipients = []  # expand given recipient entries to full list
+                for recipient_entry in given["recipients"]:
+                    count = recipient_entry.get("count", 1)
+                    recipients.extend([recipient_entry] * count)
+                sending_outputs = create_outputs(input_priv_keys, outpoints, recipients, expected=expected, hrp="sp")
 
                 # Note: order doesn't matter for creating/finding the outputs. However, different orderings of the recipient addresses
                 # will produce different generated outputs if sending to multiple silent payment addresses belonging to the

From f14132fc770227dde52ad2d812b1efe84b59a89e Mon Sep 17 00:00:00 2001
From: Sebastian Falbesoner <sebastian.falbesoner@gmail.com>
Date: Thu, 26 Feb 2026 20:40:33 +0100
Subject: [PATCH 3/7] BIP-352: test vectors: allow to check found output count
 for receiving

Introduce an optional "n_outputs" field as alternative to the detailed
"outputs" objects (the field was already specified, but not used so
far). Also update the documentation of the fields.
---
 bip-0352.mediawiki    |  4 ++--
 bip-0352/reference.py | 11 ++++++++---
 2 files changed, 10 insertions(+), 5 deletions(-)

diff --git a/bip-0352.mediawiki b/bip-0352.mediawiki
index 508b801adc..856a23d98a 100644
--- a/bip-0352.mediawiki
+++ b/bip-0352.mediawiki
@@ -422,7 +422,7 @@ A [[bip-0352/send_and_receive_test_vectors.json|collection of test vectors in JS
          },
          "expected": {
              "addresses": [<array of bech32m strings, one for the silent payment address and each labeled address (if used)>],
-             "outputs": [<array of outputs with tweak and signature; contains all possible output sets, tester must match a subset of size `n_outputs`>
+             "outputs": [<optional array of outputs with tweak and signature, tester must match this set (alternatively, "n_outputs" can be specified)>
                  {
                      "priv_key_tweak": <hex encoded private key tweak data>,
                      "pub_key": <hex encoded X-only public key>,
@@ -430,7 +430,7 @@ A [[bip-0352/send_and_receive_test_vectors.json|collection of test vectors in JS
                  },
                  ...
              ],
-             "n_outputs": <integer for the exact number of expected outputs>
+             "n_outputs": <optional integer for the number of expected found outputs (alternative to "outputs")>
          }
      }
 
diff --git a/bip-0352/reference.py b/bip-0352/reference.py
index cab3972f22..394fcc4dcd 100755
--- a/bip-0352/reference.py
+++ b/bip-0352/reference.py
@@ -367,9 +367,14 @@ def scanning(b_scan: ECKey, B_spend: ECPubKey, A_sum: ECPubKey, input_hash: byte
             # same sender but with different labels. Because of this, expected["outputs"] contains all possible valid output sets,
             # based on all possible permutations of recipient address orderings. Must match exactly one of the possible found output
             # sets in expected["outputs"]
-            generated_set = {frozenset(d.items()) for d in add_to_wallet}
-            expected_set = {frozenset(d.items()) for d in expected["outputs"]}
-            assert generated_set == expected_set, "Receive test failed"
+            if "outputs" in expected:  # detailed check against expected outputs
+                generated_set = {frozenset(d.items()) for d in add_to_wallet}
+                expected_set = {frozenset(d.items()) for d in expected["outputs"]}
+                assert generated_set == expected_set, "Receive test failed"
+            elif "n_outputs" in expected:  # only check the number of found outputs
+                assert len(add_to_wallet) == expected["n_outputs"], "Receive test failed"
+            else:
+                assert False, "either 'outputs' or 'n_outputs' must be specified in 'expected' field of receiving test vector"
 
 
     print("All tests passed")

From 9830fad214c4c95faa427686c3151108a5481107 Mon Sep 17 00:00:00 2001
From: Sebastian Falbesoner <sebastian.falbesoner@gmail.com>
Date: Thu, 26 Feb 2026 17:48:06 +0100
Subject: [PATCH 4/7] BIP-352: add test vector for exceeding K_max limit
 [sender side]

Test case: as the (only) recipient group contains 2324 addresses and
thus exceeds the K_max limit by one, sending fails.

Can be tested by
`$ ./bip-0352/reference.py ./bip-0352/send_and_receive_test_vectors.json`
---
 bip-0352/send_and_receive_test_vectors.json | 45 +++++++++++++++++++++
 1 file changed, 45 insertions(+)

diff --git a/bip-0352/send_and_receive_test_vectors.json b/bip-0352/send_and_receive_test_vectors.json
index 3a5e1d3d94..df9fee1714 100644
--- a/bip-0352/send_and_receive_test_vectors.json
+++ b/bip-0352/send_and_receive_test_vectors.json
@@ -3185,5 +3185,50 @@
                 }
             }
         ]
+    },
+    {
+        "comment": "Maximum per-group recipient limit K_max is exceeded (2324 matches): sending fails, receiver doesn't scan beyond limit",
+        "sending": [
+            {
+                "given": {
+                    "vin": [
+                        {
+                            "txid": "3cde0e7ad8adf24a4e52fd18efafffb94f73f4c7facf2627a5b588ad1c9db87f",
+                            "vout": 0,
+                            "scriptSig": "",
+                            "txinwitness": "01407ce01bc5ef2e4aae353e7f291fec32623d6a491b5421be6dccc70345f32ebae5baa6654c60c074e72da76fd06b343474370e56d3ec0413156ec6261757125ad4",
+                            "prevout": {
+                                "scriptPubKey": {
+                                    "hex": "5120bca87f72e604e8850064552bedf380ca4584227057efe12a6cc238470658aaa3"
+                                }
+                            },
+                            "private_key": "0000000000000000000000000000000000000000000000000000000000001337"
+                        }
+                    ],
+                    "recipients": [
+                        {
+                            "address": "sp1qqtnvg7hxjck9ag24naytgd7pjwsmevwh95ydwht58w3uh7uw0ta7kqmk4a3pm24z0yepw6aw27pku56md0hq5ace0l3p3jstkqaajwrsjqc5dde5",
+                            "scan_pub_key": "02e6c47ae6962c5ea1559f48b437c193a1bcb1d72d08d75d743ba3cbfb8e7afbeb",
+                            "spend_pub_key": "0376af621daaa27932176bae57836e535b6bee0a77197fe218ca0bb03bd9387090",
+                            "count": 2324
+                        }
+                    ]
+                },
+                "expected": {
+                    "outputs": [
+                        []
+                    ],
+                    "shared_secrets": [
+                        null
+                    ],
+                    "input_private_key_sum": "0000000000000000000000000000000000000000000000000000000000001337",
+                    "input_pub_keys": [
+                        "02bca87f72e604e8850064552bedf380ca4584227057efe12a6cc238470658aaa3"
+                    ]
+                }
+            }
+        ],
+        "receiving": [
+        ]
     }
 ]

From b4bc0a88b71330e705a19590a2225fbe53604626 Mon Sep 17 00:00:00 2001
From: Sebastian Falbesoner <sebastian.falbesoner@gmail.com>
Date: Thu, 26 Feb 2026 17:52:36 +0100
Subject: [PATCH 5/7] BIP-352: add test vector for exceeding K_max limit
 [receiver side]

Test case: even though there are 2324 outputs targeted to the recipient,
only 2323 are found due to the introduced K_max limit. Any
implementation following the new BIP protocol rule wouldn't create such
a transaction in the first place, but an attacker might do.

Can be tested by
`$ ./bip-0352/reference.py ./bip-0352/send_and_receive_test_vectors.json`
---
 bip-0352/send_and_receive_test_vectors.json | 2361 +++++++++++++++++++
 1 file changed, 2361 insertions(+)

diff --git a/bip-0352/send_and_receive_test_vectors.json b/bip-0352/send_and_receive_test_vectors.json
index df9fee1714..07a330afb9 100644
--- a/bip-0352/send_and_receive_test_vectors.json
+++ b/bip-0352/send_and_receive_test_vectors.json
@@ -3229,6 +3229,2367 @@
             }
         ],
         "receiving": [
+            {
+                "given": {
+                    "vin": [
+                        {
+                            "txid": "3cde0e7ad8adf24a4e52fd18efafffb94f73f4c7facf2627a5b588ad1c9db87f",
+                            "vout": 0,
+                            "scriptSig": "",
+                            "txinwitness": "01407ce01bc5ef2e4aae353e7f291fec32623d6a491b5421be6dccc70345f32ebae5baa6654c60c074e72da76fd06b343474370e56d3ec0413156ec6261757125ad4",
+                            "prevout": {
+                                "scriptPubKey": {
+                                    "hex": "5120bca87f72e604e8850064552bedf380ca4584227057efe12a6cc238470658aaa3"
+                                }
+                            },
+                            "private_key": "0000000000000000000000000000000000000000000000000000000000001337"
+                        }
+                    ],
+                    "outputs": [
+                        "5cfb6fd7a7e5d2af0fee276f2104ce2e5c86cde7955b98f2f1fb32811b448f2f",
+                        "da290e0d79ead5cd2e5d150aac80dcab54dbd0e68f241a6c34dc30906eabd13d",
+                        "d4a2b1458f0c8b20d756bde8e545560d7e7a65f6b4158f01ed34a913ba3a4603",
+                        "24752e555b0edcca123f769113692224bf1e6db137cddeb7d69ae52e51144e9e",
+                        "c911f722ef9a3594d6b85c585d4f3ed8dc437f850591dc627a0154723644114b",
+                        "ef91ddaa83a0b748d638dc9be8c9771b049a04815f03967b7ee993bde6c260ab",
+                        "ee4ed334fb38af95f52c6bbadcf2f491e646b9cc8ed31da67635f36c3cfdaba0",
+                        "a17d61b4772e453b32782744902261e051510cbafc04f086f53480d1ceee1a9c",
+                        "44d89f5e903739072e3aff8a3eb2f351520f77ff288ac8be277be3f28834bdd2",
+                        "3eff02a4a04d66d63f6bc93a693f23db703f351c0a1ff1656b907ed348a9a35f",
+                        "628c23a6e21e6a47b80274fc80e4decb98ff79b8040c7f9ea5972e4920b62b6d",
+                        "e72190c0a5ea167c2663b18d378520b9228da61ebbc99c3fa2af39e01fb9501e",
+                        "24183edbc5b80588e0e5b803e924e77fc1cab1afca54cfd285dad9bfc2a34f6d",
+                        "c45bad25a223f0f617e8167f858037907e4454210a745f3b9798c8913646dfc6",
+                        "9f9cec85011d7f718f96ee1a2940df21920a857cd1a545255579cb615f285a42",
+                        "8c60891f9bc2f772efc51d44f7cc885161412835b6fd5aac3b0cf57c3c2f9154",
+                        "85ac46a6ac9569ed67d1bc5342ed3b591af5e01581d1b09bcb2c71deb9b2c2c9",
+                        "8a6bfe47e616c6854fc797a4af53ef51c942b99eae18f316594fc8eb8869ca05",
+                        "ed5e1aa6a8b4e805273367b8ec3ade16ed6494270fc2169ba920b89770efe8eb",
+                        "2448503c55a1a7035c069e1d5461b81774c43bf6061421fdd0157009bfe96a8a",
+                        "d0dcb3d7b551eac8d31fceccb83df415c554860d5541dd08ff5fa0028ce5704f",
+                        "f11a298b54b650613e0b0183552c9c9e42c3812e03cf713d351ef71106b6ee3f",
+                        "49749206f23791f858c453cb60160d48710075bdbfd33907b0046d10f0b0295e",
+                        "3fbfdb52cbf0ea9e6655a211748bf2ac2dc92ff3cfeeef0f0a26be9987016de0",
+                        "d4a29144511981919cadbe8227fc68379e85d3fe399f177c2ae36c304b6ad6b0",
+                        "c586cc196ff56f42396f426a0200afee3a6c41058d81f19caf6536ec0efd5605",
+                        "c666994f027ceab025256af28d8ea6aec452fb8b0e1f69e7e13a4f3c5119f4ae",
+                        "5c9216cc4529c3f9c62caf70b04f8354ce9ec2cabaef745092bea1b160328fda",
+                        "d9aea54323503d78c026a8cd465c19a6df54b32ee866714d190e8260054361da",
+                        "ba71f87ca1d74eee115d8e8a26293fe2c88d9d66cff185a7a079282f02f931ad",
+                        "b8b930666b2df74c33dc8963221080c115246070e3fcd51f39bee71312db4fc4",
+                        "b7f42d2f18a3ac61f570b64ae6864f7dbff774a370ba27358d76797e841d5304",
+                        "d636d179055241a0f8bb7db193912da513a8999684d9829b266985a8083819a9",
+                        "be9622aec125f9605bcee193a99ca27c16bc591122ff8b44c511a85e6f63ec9d",
+                        "af5beb25776f84fadd6079c3ffd85775a35ad74096a58229e1d5076d836ca25d",
+                        "75fb55ec31e304456f663c9a66321e67f9d9bd8f43749494acc5189ed57b0d4a",
+                        "8dfebff33c514486d06eeb4ab8eb8471496556858c4382f73780620101a77f71",
+                        "93bfd4e75706951de4a59c7f70c5d2ce4c617b4bde0b0b23ae046df096116726",
+                        "b6eeca22f43bd62a4fcb3eee719e07d39ea703fa0707970fc197916f2efebbb5",
+                        "0437c3971f73342e5c41178590e1cb1364cb855b2d20b7b6c1c1ed0e7da5b57b",
+                        "d284c831cd9d52793977925ce3111b68f36d1ea456e46716158fe6947fb6d635",
+                        "d95b8d2789fd06cc764d47cc7e0697404220ae8f938ef47dcc9a1bba299fbb9f",
+                        "33599fb1fe313b5a2680b126bfee93cb097d938915d425a63e307e5834479b95",
+                        "05ba86903fac2f02ef2e152072bc6067008ee8ee34ce55ad460801303373eaab",
+                        "0b757802e56728b6d5b28e671a90de573d7251a47fc1bcd9319b617cac8e1463",
+                        "b4a2451e725e4cbcdf47fc736139cfe29c847e2f75cbb7653d80c8522bd48a6c",
+                        "8dd800c3a7cb1ee60f52db3bb69413c4c4247b0b134576552c675970f9903c9b",
+                        "4de21129c6fdf5568040346bbdda272caaadd58218ec6f1f152518068dac4d4d",
+                        "22f6927eae0c3717395df6483d756028839fbf0814f8cf0391159efa65dd2854",
+                        "192d26fe0bc772c705c2657dd5c5033ac41ba408793e6c721f74c53747be16e8",
+                        "9527b8e19570a16ce2d8dd3620dfd915e461bccc82340fe682f7f811b978814d",
+                        "f84039ff95cd44f842d7cf6982a726957a89d90bb151a368e62770720d3efbee",
+                        "b5b36dd84b352cddf715246d0463984b9d7894f50b566a20042c4d485df41946",
+                        "592e1bd733a1095b9e5b770021769090df0c001260803fce9a9b761ba697a5e7",
+                        "dd2fdbd6932d8b56d6ff91db3ed28f282a6ca01588ee5a552d061da215580411",
+                        "82f95ef71d4d0b32e3f0cef89e6e90a8c271cd5536b38c507fc69b354ab51062",
+                        "1800903b2d5f8483a12f0b98a5b35ed39d6cf8f4a52f495395f1816d6e3c139c",
+                        "121a2c2ea70a6986af8bde71b7f75ac9f9e1189eeb9756395e7281702f01936d",
+                        "8578df7e8ec4b068f64dca679310894afec095dbbedbefef5944c3a319809b8b",
+                        "5cebde1dbb352ff62841d7c50c3c45cd0fd1b7b3ebe884a7cf29cef6686695ab",
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+                        "8440cbb16acf418689ac4fe6d2b65ddd949e96458542539d30bfe2125e3a88ca",
+                        "6f837c7e4a9f4c4c1b17fb202a5bc7479add8cc0d26564766328f77455627961",
+                        "fb786f9dc125141f04857fd1393abe9172ad9c3aade782bd4d8dc23018c662bb",
+                        "be101e3278740014287a572b2b27fe3e20712bf589db356e800fad1e633d34b6",
+                        "02770ff50283c20a9a9de291de391fe7ebb4744da607a7780b10a20c49a753c2",
+                        "84801d626b5998746e0865aec4fcd1378bb376edcc763a80ee96373b01cbf72c",
+                        "1da1dd3aa77a4e2d8aa0857ccd857d4952e58ab49c26a1f0cb60275030f6607e",
+                        "04fefbda5ec9f182c2a22ad6bbbc42ffa322338e3562976b8d32b3406c2e38c9",
+                        "e8ccdcb248078a482359f4f7973d3b2069794b9777c4e2ac21558fbffee59c8c",
+                        "51507a05fbdfcc522a1f29099cc06458591bcd5809d2b210901e275dc1daed7d",
+                        "05e6b311d3a3241022b0152924627706edf857161004dc785983c5c8e4059b19",
+                        "986ccd7ef43c8085b738a0e2eb84b98aa920fd19f372c34c37569a5c7354d6df",
+                        "37c4370297131fcef6101bb43e37ada63ee4c63eadd53c683cdffda2c22b6a5f",
+                        "c8a736669a5a1c69c6088735306b2aa6da1fa685584446b27c53612344a28d39",
+                        "0c829d4a74a40e4338a406a268de64a9ac1b58ad2f0655cf1412cfe10a81f128",
+                        "ea8aeeeb0fcfa66319b5d1560c1c7e805cb445b678f60735a5450233a08f5146",
+                        "0c03e2902e4374dc2ae6e9d46b27028af86c461ec65b9708829f6e341c5dfa86",
+                        "427623b7f21f13216b47d64b3cce69d8695a12a8b76ceda909038e8ed1ad7ad6",
+                        "309bd0bf85e4b9bb130a17df032a6d057d2f4774abca3a8af6fdbf25de9182d9",
+                        "7f3da6402da41b66b0e5e957a40a787c53a3a31228f06d45f6ddfc275c06e815",
+                        "9453352b0b6541e28b5c36d1ef833b7f49dad472ac7bc01712f04a1d0bd8cb3d",
+                        "35b6a024cb364ee9e7ac55b3ee07e137b7dc7756c6e7131d02d603613f876578",
+                        "6ce8b20bf01933590374ff85f4a2fcab43cde2bbf9bf7b56c7e4c21acce02af1",
+                        "f02acb1e0f786b78b042e5d5e4d25fe711ecc05b2cbdc37077a4a1b66d925808",
+                        "b5697acfcc9d3d4b58bf01ee959bb519b165d6e2b3ff799dcd8581f2e4ecc4b4",
+                        "e5dcd86553008584de8d4e67edb1049198922900801bf51da55efcb7de45c37b",
+                        "e0c3e5997bd114db9c09728c21b8b35748eee68f8eb305b5cc099be3c265d327",
+                        "6c1e0ef8496d1c39fcde030239772ddf1182807dde25d54fea68085434a08b02",
+                        "4fbd6bcb31a607f792cca7f514d8259a05f684092be8ac91b242bc90169a7042",
+                        "9dbd18a509716c53037d8713d0353094d55b48253cb0d38cd7bc08959d7ff014",
+                        "a444e2b82333cbd5dfe250e393e245d5db8b78f91bbb6a572761a0a43ed56b38",
+                        "b163cba8c2d0441ac59033f7742733cb77812bd74de1147ae8173faae4f9269b",
+                        "0ac9c6fc35728d1317490b51b36277e825a49ba95be2a6783ef7af99e49228f7",
+                        "abe44cdbc6aea6876b8f009d6279479dca2c4f17c650c51bd7de410bbf23cd24",
+                        "4b9370d4ae2fe08db33f468ffceca5d9fe6b0273ef2887a4ea8522293870e0a1",
+                        "98b3b29996faf548b808efa1fd4ca779882bb75cc2ab3304f049b429a3638a97",
+                        "dfb57e8a34f4911773133529e0e222f6a5cf691b25a65c288f8d6baa68b5f406",
+                        "d1e35d54b3df21193102e9dcbb194a294323522ae35c68597b4b08f53cbf36ec",
+                        "53e8bb244f3c2c90fcc8ceb1662e03aab3e1a781fa1697f7383e0bdc59831195",
+                        "255874e4ced532485777b878f2d779c62853bd8d4d05ddadfa6163465703dc8c",
+                        "6b61c176da93e56226cb6fb7a4f8acf1df87d02be81f823dc851680ae64f80b6",
+                        "f035af0a109e467fd4ecd7c45bed043dd1ba0d02164c2b2aa0ab1989d8eaeff7",
+                        "81b239e1213841934e989034959c9ca0448ad64ac3ab919751c2289600a20723",
+                        "251b4f7823c8449e2e154cbab4aa72fb2cc55495da5fdc2d31075aa5647ba4cd",
+                        "0769a11a881bfd2f02a087803235d344ad2f005010e40ecd7af5db96245dd719",
+                        "f4963f675eefacf4cdd14ff7b759d5752aecee4cd704744e58b9bbbe078e0faa",
+                        "28916a97e55790f8e0a95c1203c1f8f1eac99b866aac5800445ef2d888b4be87",
+                        "575a46ecc4c7757656b9371e9b8dc058f99f9d9ad20a3e6de2d4e6cbc193711c",
+                        "935994c1df9323d2bdcbab8762904e48edf6298904f3ae7e234599366bfd86ef",
+                        "dec5bac62e0ef64db4936f818e325e12aed29ee0933277259185da1298dd0a28",
+                        "3ba063cbea967fc0b7bb9a25c5a12ee801eaa92f5570d1d1a977a229834fd0a0",
+                        "3327cc41ebebc9e82f06f836d5868f9c5023b05498bd73d836f04179d24fc7b9",
+                        "8d70f449bda2223d0d647d7543bc3a2c29fedffaef789dc5bd73d25a6f0afd38",
+                        "9902826a10b226265f357562bb20774358dbc636e790257a57af7f791b600acf",
+                        "c5821a347232865496580de7f3043822ca56eea4f8266c51e3be4a16016cdeed",
+                        "2817d6dee3e6706b92989f2dcef7cd0fef5d2263ed3d1c5dab8ba99550b1e5d5",
+                        "b918f2ce206701dfe60eee1d40fad119540e928b8da813fe29d77a2e26c2738b",
+                        "7f836479ecd2c4aec31c96935e2ce932135249c6077184b837f724fbdd425408",
+                        "1381c39fb5a68c134b948aacf72b5127a7b0d5a721ed2091da25a3856b9a9af8",
+                        "80e6ab5756de5eba8551f62d8943e5f650f4ae8864ea6bdffc3257ef1072679a",
+                        "ae7dd5fcf4688844f5ef72471cc0273e0e2f8f43ba4fc3dd41208f70b880e5d4",
+                        "e0f1d8c1a745ede1198fefbd0555bc118f7ccbd9ee783d8ed7a148f54fb1903f",
+                        "33c8a75fad49fd3b3bb1e031fb283858f79b05a8b461eb1f8f0e9d41c53474bc",
+                        "3864e97cd6f47c2eaf3fdcbb105e014accb4eb902be8a43dfca77dfe0d92761e",
+                        "e524e7c40053d3d1da35ac8a584ad7034cd30de0e9513bf7731f8e5f51f7178e",
+                        "12e121ad8a9be231659d08746b1a8b2b9247304dddc69cec074711970986cc6d",
+                        "149a0d197a6c2dba3044e43f5fac90f6a797e0d4c8d91e241725e963083bb472",
+                        "6a062ba02e79d2b2c001e1689daa1b3ade7c917ef26b30987798123818b202bd",
+                        "99e47c124d128f741f30e7c5bc7575f11a005befaa26ab60b560fe4a65717aa0",
+                        "147961e3d28573540582cb4a6e266f3a677d9e5b24da19c29fa611d3f8fba8a9",
+                        "59261c94c9000fe26b3b050c4cf7ab06343d4ffcbe3934da65f12d8a7b0c6862",
+                        "7428bc174ef7fd68911d46b35da30bbf8a292bb6b9ea99489b0c28bb55876e54",
+                        "6fbff71f7187e67e5cc11f85ecc7d063284c6829ffc2b647d9439cf6d80c71b3",
+                        "d49db17aa1e54596333d1962db0050b54a96abc6184f28b46778ac3eb9bc2290",
+                        "082436ca15376750587883056c2b5fceafd232f6fd91d839dcf7f138583565d0",
+                        "2d6c7614ddf121cedd9db989f73da61c3e5d5d7a876139d2d441d8dc28bef0ab",
+                        "10b5eb9db4b22b9047b2c9a2b40abefc9786d8f0b33514bcef81c462f241ca60"
+                    ],
+                    "key_material": {
+                        "scan_priv_key": "000000000000000000000000000000000000000000000000000000000000dead",
+                        "spend_priv_key": "000000000000000000000000000000000000000000000000000000000000beef"
+                    },
+                    "labels": [
+                        0
+                    ]
+                },
+                "expected": {
+                    "addresses": [
+                        "sp1qqtnvg7hxjck9ag24naytgd7pjwsmevwh95ydwht58w3uh7uw0ta7kq6xcdal4dazgg2txp472hdz4svms98328lqdflmpxppmc6ykamcrv9s7w9g",
+                        "sp1qqtnvg7hxjck9ag24naytgd7pjwsmevwh95ydwht58w3uh7uw0ta7kqmk4a3pm24z0yepw6aw27pku56md0hq5ace0l3p3jstkqaajwrsjqc5dde5"
+                    ],
+                    "n_outputs": 2323,
+                    "tweak": "022c333a8938ca0c7433c5e39d440b469f58374d0363b5bffc66aca1cc10d7b609",
+                    "shared_secret": "03abe0979dbbe4e1bb2cd2e06524a411c0b829c1d2282052da817b46f1d6e598e4",
+                    "input_pub_key_sum": "02bca87f72e604e8850064552bedf380ca4584227057efe12a6cc238470658aaa3"
+                }
+            }
         ]
     }
 ]

From 9fb88a11b75bc83e1953b4b5c50cbb04085524cc Mon Sep 17 00:00:00 2001
From: Ethan Heilman <ethan.r.heilman@gmail.com>
Date: Mon, 2 Mar 2026 10:34:26 -0500
Subject: [PATCH 6/7] bip347: Complete OP_CAT (#2090)

* OP_CAT to BIP 0003 format, add usecase

* draft --> complete

* Update bip-0347.mediawiki

Co-authored-by: Mark "Murch" Erhardt <murch@murch.one>

* BIP347: Update table entry to complete

* Fix breaking test

* Add test vectors

---------

Co-authored-by: Mark "Murch" Erhardt <murch@murch.one>
---
 README.mediawiki   |  4 +--
 bip-0347.mediawiki | 71 +++++++++++++++++++++++++++++++++++++++++++++-
 2 files changed, 72 insertions(+), 3 deletions(-)

diff --git a/README.mediawiki b/README.mediawiki
index 4e87ef74cf..11bca2e383 100644
--- a/README.mediawiki
+++ b/README.mediawiki
@@ -1198,13 +1198,13 @@ users (see also: [https://en.bitcoin.it/wiki/Economic_majority economic majority
 | Steven Roose, Brandon Black
 | Specification
 | Draft
-|-
+|- style="background-color: #ffffcf"
 | [[bip-0347.mediawiki|347]]
 | Consensus (soft fork)
 | OP_CAT in Tapscript
 | Ethan Heilman, Armin Sabouri
 | Specification
-| Draft
+| Complete
 |-
 | [[bip-0348.md|348]]
 | Consensus (soft fork)
diff --git a/bip-0347.mediawiki b/bip-0347.mediawiki
index 12a1a08e1f..319f75b8d6 100644
--- a/bip-0347.mediawiki
+++ b/bip-0347.mediawiki
@@ -4,11 +4,13 @@
   Title: OP_CAT in Tapscript
   Authors: Ethan Heilman <ethan.r.heilman@gmail.com>
            Armin Sabouri <arminsdev@gmail.com>
-  Status: Draft
+  Status: Complete
   Type: Specification
   Assigned: 2023-12-11
   License: BSD-3-Clause
   Discussion: 2023-10-21: https://lists.linuxfoundation.org/pipermail/bitcoin-dev/2023-October/022049.html [bitcoin-dev] Proposed BIP for OP_CAT
+  Version: 1.0.0
+  Requires: 340, 341, 342
 </pre>
 
 ==Abstract==
@@ -42,6 +44,8 @@ OP_CAT aims to expand the toolbox of the tapscript developer with a simple, modu
 * Non-equivocation contracts <ref>T. Ruffing, A. Kate, D. Schröder, "Liar, Liar, Coins on Fire: Penalizing Equivocation by Loss of Bitcoins", 2015, https://web.archive.org/web/20221023121048/https://publications.cispa.saarland/565/1/penalizing.pdf</ref> in tapscript provide a mechanism to punish equivocation/double spending in Bitcoin payment channels. OP_CAT enables this by enforcing rules on the spending transaction's nonce. The capability is a useful building block for payment channels and other Bitcoin protocols.
 * Vaults <ref>M. Moser, I. Eyal, and E. G. Sirer, Bitcoin Covenants, https://web.archive.org/web/20220203124718/https://fc16.ifca.ai/bitcoin/papers/MES16.pdf</ref> which are a specialized covenant that allows a user to block a malicious party who has compromised the user's secret key from stealing the funds in that output. As shown in <ref>A. Poelstra, "CAT and Schnorr Tricks II", 2021, https://www.wpsoftware.net/andrew/blog/cat-and-schnorr-tricks-ii.html</ref> OP_CAT is sufficient to build vaults in Bitcoin.
 * Replicating CheckSigFromStack <ref>A. Poelstra, "CAT and Schnorr Tricks I", 2021, https://www.wpsoftware.net/andrew/blog/cat-and-schnorr-tricks-i.html</ref> which would allow the creation of simple covenants and other advanced contracts without having to presign spending transactions, possibly reducing complexity and the amount of data that needs to be stored. Originally shown to work with Schnorr signatures, this result has been extended to ECDSA signatures <ref>R. Linus, "Covenants with CAT and ECDSA", 2023, https://gist.github.com/RobinLinus/9a69f5552be94d13170ec79bf34d5e85#file-covenants_cat_ecdsa-md</ref>.
+* OP_CAT would allow tapscript to perform arbitrary computation on stack elements larger than 32-bits such as signatures and public keys. While Collider Script <ref>E. Heilman, V. I. Kolobov, A. M. Levy, A. Poelstra, "ColliderScript: Covenants in Bitcoin via 160-bit hash collisions", 2024, https://eprint.iacr.org/2024/1802</ref> showed that even without OP_CAT tapscript can perform arbitrary computation on stack elements larger than 32-bits, this approach is extremely computationally expensive. In practice, today's tapscript can only perform arbitrary computation on 32-bit stack elements. OP_CAT was not designed with this usecase in mind and OP_CAT an inefficient way to perform this task.
+* BitVM<ref>R. Linus, L. Aumayr, A. Zamyatin, A. Pelosi, Z. Avarikioti, M. Maffei "BitVM2: Bridging Bitcoin to Second Layers", 2025, https://bitvm.org/bitvm_bridge.pdf</ref> improvements. OP_CAT would enable BitVM2 to eliminating the trusted setup from its proof system allow BitVM2 to reduce the size of transactions it uses.
 
 OP_CAT was available in early versions of Bitcoin.
 In 2010, a single commit disabled OP_CAT, along with another 15 opcodes.
@@ -102,10 +106,75 @@ break;
 
 An alternative implementation of OP_CAT can be found in Elements <ref>Roose S., Elements Project, "Re-enable several disabled opcodes", 2019, https://github.com/ElementsProject/elements/commit/13e1103abe3e328c5a4e2039b51a546f8be6c60a#diff-a0337ffd7259e8c7c9a7786d6dbd420c80abfa1afdb34ebae3261109d9ae3c19R740-R759</ref>.
 
+
+==Test Vectors==
+
+The following test vectors use Bitcoin-core JSON script-test format.
+
+<pre>
+[
+    [
+        "78a11a1260c1101260",
+        "78a11a1260",
+        "c1101260",
+        "#SCRIPT# CAT EQUAL",
+        "#CONTROLBLOCK#",
+        0.00000001
+    ],
+    "",
+    "0x51 0x20 #TAPROOTOUTPUT#",
+    "P2SH,WITNESS,TAPROOT,OP_CAT",
+    "OK",
+    "TAPSCRIPT CATs 78a11a1260 and c1101260 together and checks it is EQUAL to stack element 78a11a1260c1101260"
+],
+[
+    [
+        "51",
+        "bbbb",
+        "01",
+        "#SCRIPT# IF CAT ELSE DROP ENDIF",
+        "#CONTROLBLOCK#",
+        0.00000001
+    ],
+    "",
+    "0x51 0x20 #TAPROOTOUTPUT#",
+    "P2SH,WITNESS,TAPROOT,OP_CAT",
+    "OK",
+    "TAPSCRIPT Tests CAT inside of an IF ELSE conditional (true IF)"
+],
+[
+    [
+        "",
+        "09ca7009ca7009ca7009ca7009ca70",
+        "#SCRIPT# CAT",
+        "#CONTROLBLOCK#",
+        0.00000001
+    ],
+    "",
+    "0x51 0x20 #TAPROOTOUTPUT#",
+    "P2SH,WITNESS,TAPROOT,OP_CAT",
+    "OK",
+    "TAPSCRIPT (['', 09ca7009ca7009ca7009ca7009ca70], CAT) Tests CAT succeeds when one of the two values to concatenate is of size zero"
+],
+</pre>
+
+A full test suite with additional vectors can be found at the Bitcoin [https://github.com/bitcoin/bitcoin/pull/29247 OP_CAT PR].
+
 ==References==
 
 <references/>
 
+==Changelog==
+
+* __1.0.0__ (2026-03-01) - Marked as complete.
+* __0.3.1__ (2026-01-23) - Made compliant with BIP 003, use cases added. 
+* __0.3.0__ (2024-05-06) - Merged to BIP repo
+* __0.2.0__ (2024-04-24) - Assigned BIP number
+* __0.1.0__ (2023-12-11) - Initial draft posted
+
+
+May 6, 2024
+
 ==Acknowledgements==
 
 We wish to acknowledge Dan Gould for encouraging and helping review this effort. We also want to thank Madars Virza, Jeremy Rubin, Andrew Poelstra, Bob Summerwill,

From 6eb7cb38fbc798c7963322a792ee43078fd0ed6a Mon Sep 17 00:00:00 2001
From: Casey Rodarmor <casey@rodarmor.com>
Date: Mon, 2 Mar 2026 08:56:42 -0800
Subject: [PATCH 7/7] Merge pull request #2110 from casey/fix-readme-link

Fix mailing list link in readme
---
 README.mediawiki | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/README.mediawiki b/README.mediawiki
index 11bca2e383..8ee0658ce7 100644
--- a/README.mediawiki
+++ b/README.mediawiki
@@ -1,5 +1,5 @@
-People wishing to submit a BIP should first describe their idea to the [https://groups.google.com/g/bitcoindev
-bitcoindev@googlegroups.com] mailing list to gather feedback on viability and community interest before working on a
+People wishing to submit a BIP should first describe their idea to the [https://groups.google.com/g/bitcoindev bitcoindev@googlegroups.com]
+mailing list to gather feedback on viability and community interest before working on a
 formal description. Please open a pull request to this repository only when substantial progress on the draft has been
 made, preferably when the draft is nearing completion. Authors do <em>not</em> assign a number to their own proposal.
 After a proposal meets the editorial criteria, a BIP Editor will assign a number to it and publish the proposal by