BIP138: Compact Encryption Scheme for Non-seed Wallet Data

README.mediawiki

@@ -820,6 +820,13 @@ users (see also: [https://en.bitcoin.it/wiki/Economic_majority economic majority
 | Christopher Gilliard
 | Specification
 | Deployed
+|-
+| [[bip-0138.md|138]]
+| Applications
+| Compact encryption scheme for non-seed wallet data
+| Pyth
+| Specification
+| Draft
 |- style="background-color: #ffcfcf"
 | [[bip-0140.mediawiki|140]]
 | Consensus (soft fork)

bip-0138/test_vectors/bip380_descriptor_backup.json

@@ -0,0 +1,33 @@
+[
+  {
+    "description": "Descriptor with change descriptor",
+    "valid": true,
+    "document": {
+      "version": 1,
+      "descriptor_sets": [
+        {
+          "archived": false,
+          "birth_time": 1710000000,
+          "range": [0, 999],
+          "descriptor": "wpkh([d34db33f/84h/1h/0h]tpubDC5FSnBiZDMmhiuCmWAYsLwgLYrrT9rAqvTySfuCCrgsWz8wxMXUS9Tb9iVMvcRbvFcAHGkMD5Kx8koh4GquNGNTfohfk7pgjhaPCdXpoba/0/*)",
+          "change_descriptor": "wpkh([d34db33f/84h/1h/0h]tpubDC5FSnBiZDMmhiuCmWAYsLwgLYrrT9rAqvTySfuCCrgsWz8wxMXUS9Tb9iVMvcRbvFcAHGkMD5Kx8koh4GquNGNTfohfk7pgjhaPCdXpoba/1/*)"
+        }
+      ]
+    }
+  },
+  {
+    "description": "BIP389 multipath descriptor",
+    "valid": true,
+    "document": {
+      "version": 1,
+      "descriptor_sets": [
+        {
+          "archived": false,
+          "birth_time": 1710000000,
+          "range": [0, 999],
+          "descriptor": "wpkh([d34db33f/84h/1h/0h]tpubDC5FSnBiZDMmhiuCmWAYsLwgLYrrT9rAqvTySfuCCrgsWz8wxMXUS9Tb9iVMvcRbvFcAHGkMD5Kx8koh4GquNGNTfohfk7pgjhaPCdXpoba/<0;1>/*)"
+        }
+      ]
+    }
+  }
+]

bip-0138/test_vectors/bip388.json

@@ -0,0 +1,92 @@
+[
+  {
+    "description": "single pkh policy",
+    "valid": true,
+    "document": {
+      "keys": [
+        "[d34db33f/44'/0'/0']xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL"
+      ],
+      "policy": "pkh(@0/**)"
+    }
+  },
+  {
+    "description": "multiple policy sets with metadata",
+    "valid": true,
+    "document": {
+      "version": 1,
+      "policy_sets": [
+        {
+          "keys": [
+            "[6738736c/48'/0'/0'/2']xpub6FC1fXFP1GXLX5TKtcjHGT4q89SDRehkQLtbKJ2PzWcvbBHtyDsJPLtpLtkGqYNYZdVVAjRQ5kug9CsapegmmeRutpP7PW4u4wVF9JfkDhw",
+            "[b2b1f0cf/48'/0'/0'/2']xpub6EWhjpPa6FqrcaPBuGBZRJVjzGJ1ZsMygRF26RwN932Vfkn1gyCiTbECVitBjRCkexEvetLdiqzTcYimmzYxyR1BZ79KNevgt61PDcukmC7"
+          ],
+          "policy": "wsh(sortedmulti(2,@0/**,@1/**))",
+          "archived": true,
+          "range": [
+            0,
+            999
+          ],
+          "birth_time": 1710000000
+        },
+        {
+          "keys": [
+            "[d34db33f/44'/0'/0']xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL"
+          ],
+          "policy": "pkh(@0/**)"
+        }
+      ]
+    }
+  },
+  {
+    "description": "version not one",
+    "valid": false,
+    "document": {
+      "version": 2,
+      "policy_sets": [
+        {
+          "keys": [
+            "[d34db33f/44'/0'/0']xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL"
+          ],
+          "policy": "pkh(@0/**)"
+        }
+      ]
+    }
+  },
+  {
+    "description": "missing policy",
+    "valid": false,
+    "document": {
+      "keys": [
+        "[d34db33f/44'/0'/0']xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL"
+      ]
+    }
+  },
+  {
+    "description": "empty policy",
+    "valid": false,
+    "document": {
+      "keys": [
+        "[d34db33f/44'/0'/0']xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL"
+      ],
+      "policy": ""
+    }
+  },
+  {
+    "description": "empty keys",
+    "valid": false,
+    "document": {
+      "keys": [],
+      "policy": "pkh(@0/**)"
+    }
+  },
+  {
+    "description": "single literal pubkey in keys",
+    "valid": false,
+    "document": {
+      "keys": [
+        "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798"
+      ],
+      "policy": "pkh(@0/**)"
+    }
+  }
+]

bip-0138/test_vectors/chacha20poly1305_encryption.json

@@ -0,0 +1,37 @@
+[
+  {
+    "description": "Basic encryption with short plaintext",
+    "nonce": "000102030405060708090a0b",
+    "plaintext": "48656c6c6f",
+    "secret": "0000000000000000000000000000000000000000000000000000000000000000",
+    "ciphertext": "7df9cb9a0ac5851cc054b14d05f781127b2b0d31fa"
+  },
+  {
+    "description": "Empty plaintext should fail",
+    "nonce": "000102030405060708090a0b",
+    "plaintext": "",
+    "secret": "0000000000000000000000000000000000000000000000000000000000000000",
+    "ciphertext": null
+  },
+  {
+    "description": "Encryption with zeroed nonce should fail",
+    "nonce": "000000000000000000000000",
+    "plaintext": "00000000000000000000000000000000",
+    "secret": "0000000000000000000000000000000000000000000000000000000000000000",
+    "ciphertext": null
+  },
+  {
+    "description": "Encryption with all FFs",
+    "nonce": "ffffffffffffffffffffffff",
+    "plaintext": "ffffffffffffffffffffffffffffffff",
+    "secret": "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+    "ciphertext": "22d8bfc313e141bd692c82cec7785b29a0e5d5014c0d3b2d3a8b00548cd8d221"
+  },
+  {
+    "description": "Longer plaintext",
+    "nonce": "0f1e2d3c4b5a69788796a5b4",
+    "plaintext": "546869732069732061206c6f6e67657220706c61696e746578742074686174207368756c6420626520656e637279707465642070726f7065726c792e",
+    "secret": "deadbeefdeadbeefdeadbeefdeadbeefdeadbeefdeadbeefdeadbeefdeadbeef",
+    "ciphertext": "2af094190e2b43a02b8dd6bfc25a8833f84f81bc6f690d75f0214e466ef392616c4644bee65118c444a926e1e365b3a7ba0509a5636524eb4e5722f5926938f32e4df79237acb6dd4a6ccbc4"
+  }
+]

bip-0138/test_vectors/content_type.json

@@ -0,0 +1,67 @@
+[
+  {
+    "description": "Bip 380",
+    "valid": true,
+    "content": "01017c"
+  },
+  {
+    "description": "Bip 388",
+    "valid": true,
+    "content": "010184"
+  },
+  {
+    "description": "Bip 329",
+    "valid": true,
+    "content": "010149"
+  },
+  {
+    "description": "Bip 999",
+    "valid": true,
+    "content": "0103e7"
+  },
+  {
+    "description": "Bip max",
+    "valid": true,
+    "content": "01ffff"
+  },
+  {
+    "description": "Bip min",
+    "valid": true,
+    "content": "010000"
+  },
+  {
+    "description": "Propietary 00010203",
+    "valid": true,
+    "content": "020400010203"
+  },
+  {
+    "description": "TYPE 0x00 is reserved",
+    "valid": false,
+    "content": "00"
+  },
+  {
+    "description": "Invalid BIP (insufficient bytes)",
+    "valid": false,
+    "content": "0100"
+  },
+  {
+    "description": "Invalid proprietary (missing data)",
+    "valid": false,
+    "content": "0201"
+  },
+  {
+    "description": "Invalid proprietary (LENGTH exceeds payload)",
+    "valid": false,
+    "content": "020500"
+  },
+  {
+    "description": "TYPE >= 0x80 stops parsing",
+    "valid": false,
+    "content": "ff"
+  },
+  {
+    "description": "TYPE >= 0x80 stops parsing",
+    "valid": false,
+    "content": "ff000000"
+  }
+]

bip-0138/test_vectors/derivation_path.json

@@ -0,0 +1,146 @@
+[
+  {
+    "description": "Empty derivation paths",
+    "paths": [],
+    "expected": "00"
+  },
+  {
+    "description": "Single path with one child: m/0",
+    "paths": ["m/0"],
+    "expected": "010100000000"
+  },
+  {
+    "description": "Single path with hardened child: m/44'",
+    "paths": ["m/44'"],
+    "expected": "01018000002c"
+  },
+  {
+    "description": "Standard BIP-84 path: m/84'/0'/0'",
+    "paths": ["m/84'/0'/0'"],
+    "expected": "0103800000548000000080000000"
+  },
+  {
+    "description": "Mixed hardened and normal: m/0/1'/2/3'",
+    "paths": ["m/0/1'/2/3'"],
+    "expected": "010400000000800000010000000280000003"
+  },
+  {
+    "description": "Multiple paths: m/0/1'/2/3' and m/84'/0'/0'/2'",
+    "paths": ["m/0/1'/2/3'", "m/84'/0'/0'/2'"],
+    "expected": "0204000000008000000100000002800000030480000054800000008000000080000002"
+  },
+  {
+    "description": "Path with large indices: m/2147483647'/2147483646",
+    "paths": ["m/2147483647'/2147483646"],
+    "expected": "0102ffffffff7ffffffe"
+  },
+  {
+    "description": "Single child path: m/1",
+    "paths": ["m/1"],
+    "expected": "010100000001"
+  },
+  {
+    "description": "Path with max normal index: m/2147483647",
+    "paths": ["m/2147483647"],
+    "expected": "01017fffffff"
+  },
+  {
+    "description": "Path with multiple normal indices: m/0/1/2/3/4",
+    "paths": ["m/0/1/2/3/4"],
+    "expected": "01050000000000000001000000020000000300000004"
+  },
+  {
+    "description": "Path with all hardened: m/0'/1'/2'",
+    "paths": ["m/0'/1'/2'"],
+    "expected": "0103800000008000000180000002"
+  },
+  {
+    "description": "Two different single-child paths: m/0 and m/1",
+    "paths": ["m/0", "m/1"],
+    "expected": "0201000000000100000001"
+  },
+  {
+    "description": "BIP-44 account 0: m/44'/0'/0'",
+    "paths": ["m/44'/0'/0'"],
+    "expected": "01038000002c8000000080000000"
+  },
+  {
+    "description": "BIP-49 account 0: m/49'/0'/0'",
+    "paths": ["m/49'/0'/0'"],
+    "expected": "0103800000318000000080000000"
+  },
+  {
+    "description": "Single path with 255 children (maximum depth, success)",
+    "paths": ["m/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0"],
+    "expected": "01ff000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
+  },
+  {
+    "description": "256 paths should fail (exceeds u8::MAX)",
+    "paths": [
+      "m/0", "m/1", "m/2", "m/3", "m/4", "m/5", "m/6", "m/7", "m/8", "m/9",
+      "m/10", "m/11", "m/12", "m/13", "m/14", "m/15", "m/16", "m/17", "m/18", "m/19",
+      "m/20", "m/21", "m/22", "m/23", "m/24", "m/25", "m/26", "m/27", "m/28", "m/29",
+      "m/30", "m/31", "m/32", "m/33", "m/34", "m/35", "m/36", "m/37", "m/38", "m/39",
+      "m/40", "m/41", "m/42", "m/43", "m/44", "m/45", "m/46", "m/47", "m/48", "m/49",
+      "m/50", "m/51", "m/52", "m/53", "m/54", "m/55", "m/56", "m/57", "m/58", "m/59",
+      "m/60", "m/61", "m/62", "m/63", "m/64", "m/65", "m/66", "m/67", "m/68", "m/69",
+      "m/70", "m/71", "m/72", "m/73", "m/74", "m/75", "m/76", "m/77", "m/78", "m/79",
+      "m/80", "m/81", "m/82", "m/83", "m/84", "m/85", "m/86", "m/87", "m/88", "m/89",
+      "m/90", "m/91", "m/92", "m/93", "m/94", "m/95", "m/96", "m/97", "m/98", "m/99",
+      "m/100", "m/101", "m/102", "m/103", "m/104", "m/105", "m/106", "m/107", "m/108", "m/109",
+      "m/110", "m/111", "m/112", "m/113", "m/114", "m/115", "m/116", "m/117", "m/118", "m/119",
+      "m/120", "m/121", "m/122", "m/123", "m/124", "m/125", "m/126", "m/127", "m/128", "m/129",
+      "m/130", "m/131", "m/132", "m/133", "m/134", "m/135", "m/136", "m/137", "m/138", "m/139",
+      "m/140", "m/141", "m/142", "m/143", "m/144", "m/145", "m/146", "m/147", "m/148", "m/149",
+      "m/150", "m/151", "m/152", "m/153", "m/154", "m/155", "m/156", "m/157", "m/158", "m/159",
+      "m/160", "m/161", "m/162", "m/163", "m/164", "m/165", "m/166", "m/167", "m/168", "m/169",
+      "m/170", "m/171", "m/172", "m/173", "m/174", "m/175", "m/176", "m/177", "m/178", "m/179",
+      "m/180", "m/181", "m/182", "m/183", "m/184", "m/185", "m/186", "m/187", "m/188", "m/189",
+      "m/190", "m/191", "m/192", "m/193", "m/194", "m/195", "m/196", "m/197", "m/198", "m/199",
+      "m/200", "m/201", "m/202", "m/203", "m/204", "m/205", "m/206", "m/207", "m/208", "m/209",
+      "m/210", "m/211", "m/212", "m/213", "m/214", "m/215", "m/216", "m/217", "m/218", "m/219",
+      "m/220", "m/221", "m/222", "m/223", "m/224", "m/225", "m/226", "m/227", "m/228", "m/229",
+      "m/230", "m/231", "m/232", "m/233", "m/234", "m/235", "m/236", "m/237", "m/238", "m/239",
+      "m/240", "m/241", "m/242", "m/243", "m/244", "m/245", "m/246", "m/247", "m/248", "m/249",
+      "m/250", "m/251", "m/252", "m/253", "m/254", "m/255"
+    ],
+    "expected": null
+  },
+  {
+    "description": "Path with 256 children should fail (exceeds u8::MAX)",
+    "paths": ["m/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0"],
+    "expected": null
+  },
+  {
+    "description": "255 paths should succeed (maximum allowed)",
+    "paths": [
+      "m/0", "m/1", "m/2", "m/3", "m/4", "m/5", "m/6", "m/7", "m/8", "m/9",
+      "m/10", "m/11", "m/12", "m/13", "m/14", "m/15", "m/16", "m/17", "m/18", "m/19",
+      "m/20", "m/21", "m/22", "m/23", "m/24", "m/25", "m/26", "m/27", "m/28", "m/29",
+      "m/30", "m/31", "m/32", "m/33", "m/34", "m/35", "m/36", "m/37", "m/38", "m/39",
+      "m/40", "m/41", "m/42", "m/43", "m/44", "m/45", "m/46", "m/47", "m/48", "m/49",
+      "m/50", "m/51", "m/52", "m/53", "m/54", "m/55", "m/56", "m/57", "m/58", "m/59",
+      "m/60", "m/61", "m/62", "m/63", "m/64", "m/65", "m/66", "m/67", "m/68", "m/69",
+      "m/70", "m/71", "m/72", "m/73", "m/74", "m/75", "m/76", "m/77", "m/78", "m/79",
+      "m/80", "m/81", "m/82", "m/83", "m/84", "m/85", "m/86", "m/87", "m/88", "m/89",
+      "m/90", "m/91", "m/92", "m/93", "m/94", "m/95", "m/96", "m/97", "m/98", "m/99",
+      "m/100", "m/101", "m/102", "m/103", "m/104", "m/105", "m/106", "m/107", "m/108", "m/109",
+      "m/110", "m/111", "m/112", "m/113", "m/114", "m/115", "m/116", "m/117", "m/118", "m/119",
+      "m/120", "m/121", "m/122", "m/123", "m/124", "m/125", "m/126", "m/127", "m/128", "m/129",
+      "m/130", "m/131", "m/132", "m/133", "m/134", "m/135", "m/136", "m/137", "m/138", "m/139",
+      "m/140", "m/141", "m/142", "m/143", "m/144", "m/145", "m/146", "m/147", "m/148", "m/149",
+      "m/150", "m/151", "m/152", "m/153", "m/154", "m/155", "m/156", "m/157", "m/158", "m/159",
+      "m/160", "m/161", "m/162", "m/163", "m/164", "m/165", "m/166", "m/167", "m/168", "m/169",
+      "m/170", "m/171", "m/172", "m/173", "m/174", "m/175", "m/176", "m/177", "m/178", "m/179",
+      "m/180", "m/181", "m/182", "m/183", "m/184", "m/185", "m/186", "m/187", "m/188", "m/189",
+      "m/190", "m/191", "m/192", "m/193", "m/194", "m/195", "m/196", "m/197", "m/198", "m/199",
+      "m/200", "m/201", "m/202", "m/203", "m/204", "m/205", "m/206", "m/207", "m/208", "m/209",
+      "m/210", "m/211", "m/212", "m/213", "m/214", "m/215", "m/216", "m/217", "m/218", "m/219",
+      "m/220", "m/221", "m/222", "m/223", "m/224", "m/225", "m/226", "m/227", "m/228", "m/229",
+      "m/230", "m/231", "m/232", "m/233", "m/234", "m/235", "m/236", "m/237", "m/238", "m/239",
+      "m/240", "m/241", "m/242", "m/243", "m/244", "m/245", "m/246", "m/247", "m/248", "m/249",
+      "m/250", "m/251", "m/252", "m/253", "m/254"
+    ],
+    "expected": "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"
+  }
+]