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| 1 | + |
| 2 | +/// LinearCodeAddressGenerator allows generating and validating Flow account addresses. |
| 3 | +access(all) |
| 4 | +contract LinearCodeAddressGenerator { |
| 5 | + |
| 6 | + /// The code word for addresses on Flow Mainnet. |
| 7 | + access(all) |
| 8 | + let codeWordMainnet: UInt64 |
| 9 | + |
| 10 | + /// The code word for addresses on Flow Testnet. |
| 11 | + access(all) |
| 12 | + let codeWordTestnet: UInt64 |
| 13 | + |
| 14 | + /// The code word for addresses on transient networks, like the Flow Emulator. |
| 15 | + access(all) |
| 16 | + let codeWordTransient: UInt64 |
| 17 | + |
| 18 | + /// Rows of the generator matrix G of the [64,45]-code used for Flow addresses. |
| 19 | + /// G is a (k x n) matrix with coefficients in GF(2), each row is converted into |
| 20 | + /// a big endian integer representation of the GF(2) raw vector. |
| 21 | + /// G is used to generate the account addresses |
| 22 | + access(all) |
| 23 | + let generatorMatrixRows: [UInt64; 45] |
| 24 | + |
| 25 | + /// Columns of the parity-check matrix H of the [64,45]-code used for Flow addresses. |
| 26 | + /// H is a (n x p) matrix with coefficients in GF(2), each column is converted into |
| 27 | + /// a big endian integer representation of the GF(2) column vector. |
| 28 | + /// H is used to verify a code word is a valid account address. |
| 29 | + access(all) |
| 30 | + let parityCheckMatrixColumns: [UInt64; 64] |
| 31 | + |
| 32 | + init() { |
| 33 | + self.codeWordMainnet = 0 |
| 34 | + self.codeWordTestnet = 0x6834ba37b3980209 |
| 35 | + self.codeWordTransient = 0x1cb159857af02018 |
| 36 | + |
| 37 | + self.generatorMatrixRows = [ |
| 38 | + 0xe467b9dd11fa00df, 0xf233dcee88fe0abe, 0xf919ee77447b7497, 0xfc8cf73ba23a260d, |
| 39 | + 0xfe467b9dd11ee2a1, 0xff233dcee888d807, 0xff919ee774476ce6, 0x7fc8cf73ba231d10, |
| 40 | + 0x3fe467b9dd11b183, 0x1ff233dcee8f96d6, 0x8ff919ee774757ba, 0x47fc8cf73ba2b331, |
| 41 | + 0x23fe467b9dd27f6c, 0x11ff233dceee8e82, 0x88ff919ee775dd8f, 0x447fc8cf73b905e4, |
| 42 | + 0xa23fe467b9de0d83, 0xd11ff233dce8d5a7, 0xe88ff919ee73c38a, 0x7447fc8cf73f171f, |
| 43 | + 0xba23fe467b9dcb2b, 0xdd11ff233dcb0cb4, 0xee88ff919ee26c5d, 0x77447fc8cf775dd3, |
| 44 | + 0x3ba23fe467b9b5a1, 0x9dd11ff233d9117a, 0xcee88ff919efa640, 0xe77447fc8cf3e297, |
| 45 | + 0x73ba23fe467fabd2, 0xb9dd11ff233fb16c, 0xdcee88ff919adde7, 0xee77447fc8ceb196, |
| 46 | + 0xf73ba23fe4621cd0, 0x7b9dd11ff2379ac3, 0x3dcee88ff91df46c, 0x9ee77447fc88e702, |
| 47 | + 0xcf73ba23fe4131b6, 0x67b9dd11ff240f9a, 0x33dcee88ff90f9e0, 0x19ee77447fcff4e3, |
| 48 | + 0x8cf73ba23fe64091, 0x467b9dd11ff115c7, 0x233dcee88ffdb735, 0x919ee77447fe2309, |
| 49 | + 0xc8cf73ba23fdc736 |
| 50 | + ] |
| 51 | + |
| 52 | + self.parityCheckMatrixColumns = [ |
| 53 | + 0x00001, 0x00002, 0x00004, 0x00008, 0x00010, 0x00020, 0x00040, 0x00080, |
| 54 | + 0x00100, 0x00200, 0x00400, 0x00800, 0x01000, 0x02000, 0x04000, 0x08000, |
| 55 | + 0x10000, 0x20000, 0x40000, 0x7328d, 0x6689a, 0x6112f, 0x6084b, 0x433fd, |
| 56 | + 0x42aab, 0x41951, 0x233ce, 0x22a81, 0x21948, 0x1ef60, 0x1deca, 0x1c639, |
| 57 | + 0x1bdd8, 0x1a535, 0x194ac, 0x18c46, 0x1632b, 0x1529b, 0x14a43, 0x13184, |
| 58 | + 0x12942, 0x118c1, 0x0f812, 0x0e027, 0x0d00e, 0x0c83c, 0x0b01d, 0x0a831, |
| 59 | + 0x0982b, 0x07034, 0x0682a, 0x05819, 0x03807, 0x007d2, 0x00727, 0x0068e, |
| 60 | + 0x0067c, 0x0059d, 0x004eb, 0x003b4, 0x0036a, 0x002d9, 0x001c7, 0x0003f |
| 61 | + ] |
| 62 | + } |
| 63 | + |
| 64 | + access(all) |
| 65 | + fun encodeWord(_ word: UInt64): UInt64 { |
| 66 | + |
| 67 | + // Multiply the index GF(2) vector by the code generator matrix |
| 68 | + |
| 69 | + var codeWord: UInt64 = 0 |
| 70 | + var word = word |
| 71 | + |
| 72 | + for generatorMatrixRow in self.generatorMatrixRows { |
| 73 | + if word & 1 == 1 { |
| 74 | + codeWord = codeWord ^ generatorMatrixRow |
| 75 | + } |
| 76 | + word = word >> 1 |
| 77 | + } |
| 78 | + |
| 79 | + return codeWord |
| 80 | + } |
| 81 | + |
| 82 | + /// Returns the address at the given index, for the given chain code word. |
| 83 | + access(all) |
| 84 | + fun address(at index: UInt64, chainCodeWord: UInt64): Address { |
| 85 | + return Address(self.encodeWord(index) ^ chainCodeWord) |
| 86 | + } |
| 87 | + |
| 88 | + /// Returns true if the given address is valid, for the given chain code word. |
| 89 | + access(all) |
| 90 | + fun isValidAddress(_ address: Address, chainCodeWord: UInt64): Bool { |
| 91 | + |
| 92 | + let address = UInt64.fromBigEndianBytes(address.toBytes())! |
| 93 | + var codeWord = chainCodeWord ^ address |
| 94 | + |
| 95 | + if codeWord == 0 { |
| 96 | + return false |
| 97 | + } |
| 98 | + |
| 99 | + // Multiply the code word GF(2)-vector by the parity-check matrix |
| 100 | + |
| 101 | + var parity: UInt64 = 0 |
| 102 | + |
| 103 | + for parityCheckMatrixColumn in self.parityCheckMatrixColumns { |
| 104 | + if codeWord & 1 == 1 { |
| 105 | + parity = parity ^ parityCheckMatrixColumn |
| 106 | + } |
| 107 | + codeWord = codeWord >> 1 |
| 108 | + } |
| 109 | + |
| 110 | + return parity == 0 && codeWord == 0 |
| 111 | + } |
| 112 | +} |
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