516 lines
19 KiB
Python
516 lines
19 KiB
Python
from typing import Dict, List, Tuple
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from typing_extensions import Final
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class CardCipherException(Exception):
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pass
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class CardCipher:
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"""
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Algorithm for converting between the Card ID as stored in an
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eAmusement card and the 16 character card string as shown on
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the back of a card and in-game. All of this was kindly RE'd by
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Tau and converted ham-fistedly to Python.
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"""
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# precomputed round keys (unknown master key)
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DES3_KEY1: Final[List[int]] = [
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0x20D0D03C, 0x868ECB41, 0xBCD89C84, 0x4C0E0D0D,
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0x84FC30AC, 0x4CC1890E, 0xFC5418A4, 0x02C50F44,
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0x68ACB4E0, 0x06CD4A4E, 0xCC28906C, 0x4F0C8AC0,
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0xB03CA468, 0x884AC7C4, 0x389490D8, 0xCF80C6C2,
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0x58D87404, 0xC48EC444, 0xB4E83C50, 0x498D0147,
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0x64F454C0, 0x4C4701C8, 0xEC302CC4, 0xC6C949C1,
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0xC84C00F0, 0xCDCC49CC, 0x883C5CF4, 0x8B0FCB80,
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0x703CC0B0, 0xCB820A8D, 0x78804C8C, 0x4FCA830E,
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]
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DES3_KEY2: Final[List[int]] = [
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0x80D0F03C, 0x8EC84F8C, 0x98C89C4C, 0xC80D878F,
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0x54BC949C, 0xC801C5CE, 0x749078DC, 0xC3C80D46,
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0x2C8070F0, 0x0CCE4DCF, 0x8C3874E4, 0x8D448AC3,
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0x987CAC70, 0xC0C20AC5, 0x288CFC78, 0xC28543C8,
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0x4C8C7434, 0xC50E4F8D, 0x8468F4B4, 0xCB4A0307,
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0x2854DC98, 0x48430B45, 0x6858FCE8, 0x4681CD49,
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0xD04808EC, 0x458D0FCB, 0xE0A48CE4, 0x880F8FCE,
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0x7434B8FC, 0xCE080A8E, 0x5860FC6C, 0x46C886CC,
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]
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DES3_KEY3: Final[List[int]] = [
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0xD01098A4, 0xCE090B8C, 0x1044CC2C, 0x86898E0F,
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0xD0809C3C, 0x4A05860F, 0x54B4F80C, 0x4008870E,
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0x1480B88C, 0x0AC8854F, 0x1C9034CC, 0x08444C4E,
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0x0CB83C64, 0x41C08CC6, 0x1C083460, 0xC0C603CE,
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0x2CA0645C, 0x818246CB, 0x0408E454, 0xC5464487,
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0x88607C18, 0xC1424187, 0x284C7C90, 0xC1030509,
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0x40486C94, 0x4603494B, 0xE0404CE4, 0x4109094D,
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0x60443CE4, 0x4C0B8B8D, 0xE054E8BC, 0x02008E89,
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]
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LUT_A0: Final[List[int]] = [
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0x02080008, 0x02082000, 0x00002008, 0x00000000,
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0x02002000, 0x00080008, 0x02080000, 0x02082008,
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0x00000008, 0x02000000, 0x00082000, 0x00002008,
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0x00082008, 0x02002008, 0x02000008, 0x02080000,
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0x00002000, 0x00082008, 0x00080008, 0x02002000,
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0x02082008, 0x02000008, 0x00000000, 0x00082000,
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0x02000000, 0x00080000, 0x02002008, 0x02080008,
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0x00080000, 0x00002000, 0x02082000, 0x00000008,
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0x00080000, 0x00002000, 0x02000008, 0x02082008,
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0x00002008, 0x02000000, 0x00000000, 0x00082000,
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0x02080008, 0x02002008, 0x02002000, 0x00080008,
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0x02082000, 0x00000008, 0x00080008, 0x02002000,
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0x02082008, 0x00080000, 0x02080000, 0x02000008,
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0x00082000, 0x00002008, 0x02002008, 0x02080000,
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0x00000008, 0x02082000, 0x00082008, 0x00000000,
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0x02000000, 0x02080008, 0x00002000, 0x00082008,
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]
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LUT_A1: Final[List[int]] = [
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0x08000004, 0x00020004, 0x00000000, 0x08020200,
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0x00020004, 0x00000200, 0x08000204, 0x00020000,
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0x00000204, 0x08020204, 0x00020200, 0x08000000,
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0x08000200, 0x08000004, 0x08020000, 0x00020204,
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0x00020000, 0x08000204, 0x08020004, 0x00000000,
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0x00000200, 0x00000004, 0x08020200, 0x08020004,
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0x08020204, 0x08020000, 0x08000000, 0x00000204,
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0x00000004, 0x00020200, 0x00020204, 0x08000200,
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0x00000204, 0x08000000, 0x08000200, 0x00020204,
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0x08020200, 0x00020004, 0x00000000, 0x08000200,
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0x08000000, 0x00000200, 0x08020004, 0x00020000,
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0x00020004, 0x08020204, 0x00020200, 0x00000004,
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0x08020204, 0x00020200, 0x00020000, 0x08000204,
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0x08000004, 0x08020000, 0x00020204, 0x00000000,
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0x00000200, 0x08000004, 0x08000204, 0x08020200,
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0x08020000, 0x00000204, 0x00000004, 0x08020004,
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]
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LUT_A2: Final[List[int]] = [
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0x80040100, 0x01000100, 0x80000000, 0x81040100,
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0x00000000, 0x01040000, 0x81000100, 0x80040000,
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0x01040100, 0x81000000, 0x01000000, 0x80000100,
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0x81000000, 0x80040100, 0x00040000, 0x01000000,
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0x81040000, 0x00040100, 0x00000100, 0x80000000,
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0x00040100, 0x81000100, 0x01040000, 0x00000100,
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0x80000100, 0x00000000, 0x80040000, 0x01040100,
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0x01000100, 0x81040000, 0x81040100, 0x00040000,
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0x81040000, 0x80000100, 0x00040000, 0x81000000,
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0x00040100, 0x01000100, 0x80000000, 0x01040000,
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0x81000100, 0x00000000, 0x00000100, 0x80040000,
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0x00000000, 0x81040000, 0x01040100, 0x00000100,
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0x01000000, 0x81040100, 0x80040100, 0x00040000,
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0x81040100, 0x80000000, 0x01000100, 0x80040100,
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0x80040000, 0x00040100, 0x01040000, 0x81000100,
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0x80000100, 0x01000000, 0x81000000, 0x01040100,
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]
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LUT_A3: Final[List[int]] = [
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0x04010801, 0x00000000, 0x00010800, 0x04010000,
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0x04000001, 0x00000801, 0x04000800, 0x00010800,
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0x00000800, 0x04010001, 0x00000001, 0x04000800,
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0x00010001, 0x04010800, 0x04010000, 0x00000001,
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0x00010000, 0x04000801, 0x04010001, 0x00000800,
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0x00010801, 0x04000000, 0x00000000, 0x00010001,
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0x04000801, 0x00010801, 0x04010800, 0x04000001,
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0x04000000, 0x00010000, 0x00000801, 0x04010801,
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0x00010001, 0x04010800, 0x04000800, 0x00010801,
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0x04010801, 0x00010001, 0x04000001, 0x00000000,
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0x04000000, 0x00000801, 0x00010000, 0x04010001,
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0x00000800, 0x04000000, 0x00010801, 0x04000801,
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0x04010800, 0x00000800, 0x00000000, 0x04000001,
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0x00000001, 0x04010801, 0x00010800, 0x04010000,
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0x04010001, 0x00010000, 0x00000801, 0x04000800,
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0x04000801, 0x00000001, 0x04010000, 0x00010800,
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]
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LUT_B0: Final[List[int]] = [
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0x00000400, 0x00000020, 0x00100020, 0x40100000,
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0x40100420, 0x40000400, 0x00000420, 0x00000000,
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0x00100000, 0x40100020, 0x40000020, 0x00100400,
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0x40000000, 0x00100420, 0x00100400, 0x40000020,
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0x40100020, 0x00000400, 0x40000400, 0x40100420,
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0x00000000, 0x00100020, 0x40100000, 0x00000420,
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0x40100400, 0x40000420, 0x00100420, 0x40000000,
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0x40000420, 0x40100400, 0x00000020, 0x00100000,
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0x40000420, 0x00100400, 0x40100400, 0x40000020,
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0x00000400, 0x00000020, 0x00100000, 0x40100400,
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0x40100020, 0x40000420, 0x00000420, 0x00000000,
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0x00000020, 0x40100000, 0x40000000, 0x00100020,
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0x00000000, 0x40100020, 0x00100020, 0x00000420,
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0x40000020, 0x00000400, 0x40100420, 0x00100000,
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0x00100420, 0x40000000, 0x40000400, 0x40100420,
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0x40100000, 0x00100420, 0x00100400, 0x40000400,
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]
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LUT_B1: Final[List[int]] = [
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0x00800000, 0x00001000, 0x00000040, 0x00801042,
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0x00801002, 0x00800040, 0x00001042, 0x00801000,
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0x00001000, 0x00000002, 0x00800002, 0x00001040,
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0x00800042, 0x00801002, 0x00801040, 0x00000000,
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0x00001040, 0x00800000, 0x00001002, 0x00000042,
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0x00800040, 0x00001042, 0x00000000, 0x00800002,
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0x00000002, 0x00800042, 0x00801042, 0x00001002,
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0x00801000, 0x00000040, 0x00000042, 0x00801040,
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0x00801040, 0x00800042, 0x00001002, 0x00801000,
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0x00001000, 0x00000002, 0x00800002, 0x00800040,
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0x00800000, 0x00001040, 0x00801042, 0x00000000,
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0x00001042, 0x00800000, 0x00000040, 0x00001002,
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0x00800042, 0x00000040, 0x00000000, 0x00801042,
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0x00801002, 0x00801040, 0x00000042, 0x00001000,
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0x00001040, 0x00801002, 0x00800040, 0x00000042,
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0x00000002, 0x00001042, 0x00801000, 0x00800002,
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]
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LUT_B2: Final[List[int]] = [
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0x10400000, 0x00404010, 0x00000010, 0x10400010,
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0x10004000, 0x00400000, 0x10400010, 0x00004010,
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0x00400010, 0x00004000, 0x00404000, 0x10000000,
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0x10404010, 0x10000010, 0x10000000, 0x10404000,
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0x00000000, 0x10004000, 0x00404010, 0x00000010,
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0x10000010, 0x10404010, 0x00004000, 0x10400000,
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0x10404000, 0x00400010, 0x10004010, 0x00404000,
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0x00004010, 0x00000000, 0x00400000, 0x10004010,
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0x00404010, 0x00000010, 0x10000000, 0x00004000,
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0x10000010, 0x10004000, 0x00404000, 0x10400010,
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0x00000000, 0x00404010, 0x00004010, 0x10404000,
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0x10004000, 0x00400000, 0x10404010, 0x10000000,
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0x10004010, 0x10400000, 0x00400000, 0x10404010,
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0x00004000, 0x00400010, 0x10400010, 0x00004010,
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0x00400010, 0x00000000, 0x10404000, 0x10000010,
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0x10400000, 0x10004010, 0x00000010, 0x00404000,
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]
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LUT_B3: Final[List[int]] = [
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0x00208080, 0x00008000, 0x20200000, 0x20208080,
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0x00200000, 0x20008080, 0x20008000, 0x20200000,
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0x20008080, 0x00208080, 0x00208000, 0x20000080,
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0x20200080, 0x00200000, 0x00000000, 0x20008000,
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0x00008000, 0x20000000, 0x00200080, 0x00008080,
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0x20208080, 0x00208000, 0x20000080, 0x00200080,
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0x20000000, 0x00000080, 0x00008080, 0x20208000,
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0x00000080, 0x20200080, 0x20208000, 0x00000000,
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0x00000000, 0x20208080, 0x00200080, 0x20008000,
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0x00208080, 0x00008000, 0x20000080, 0x00200080,
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0x20208000, 0x00000080, 0x00008080, 0x20200000,
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0x20008080, 0x20000000, 0x20200000, 0x00208000,
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0x20208080, 0x00008080, 0x00208000, 0x20200080,
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0x00200000, 0x20000080, 0x20008000, 0x00000000,
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0x00008000, 0x00200000, 0x20200080, 0x00208080,
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0x20000000, 0x20208000, 0x00000080, 0x20008080,
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]
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VALID_CHARS: Final[str] = "0123456789ABCDEFGHJKLMNPRSTUWXYZ"
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CONV_CHARS: Final[Dict[str, str]] = {
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"I": "1",
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"O": "0",
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}
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@staticmethod
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def __type_from_cardid(cardid: str) -> int:
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if cardid[:2].upper() == "E0":
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return 1
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if cardid[:2].upper() == "01":
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return 2
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raise CardCipherException("Unrecognized card type")
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@staticmethod
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def encode(cardid: str) -> str:
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"""
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Given a card ID as stored on a card (Usually starting with E004), convert
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it to the card string as shown on the back of the card.
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Parameters:
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cardid - 16 digit card ID (hex values stored as string).
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Returns:
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String representation of the card string.
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"""
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if len(cardid) != 16:
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raise CardCipherException(
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f"Expected 16-character card ID, got {len(cardid)}",
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)
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cardbytes = bytes.fromhex(cardid)
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# Reverse bytes
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reverse = cardbytes[::-1]
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# Encipher
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ciphered = CardCipher._encode(reverse)
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# Convert 8 x 8 bit bytes into 13 x 5 bit groups (sort of)
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bits = [0] * 65
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for i in range(0, 64):
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bits[i] = (ciphered[i // 8] >> (7 - (i % 8))) & 1
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groups = [0] * 16
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for i in range(0, 13):
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groups[i] = (
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(bits[i * 5 + 0] << 4)
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| (bits[i * 5 + 1] << 3)
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| (bits[i * 5 + 2] << 2)
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| (bits[i * 5 + 3] << 1)
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| (bits[i * 5 + 4] << 0)
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)
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# Smear 13 groups out into 14 groups
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groups[13] = 1
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groups[0] ^= CardCipher.__type_from_cardid(cardid)
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for i in range(0, 14):
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groups[i] ^= groups[i - 1]
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# Scheme field is 1 for old-style, 2 for felica cards
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groups[14] = CardCipher.__type_from_cardid(cardid)
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groups[15] = CardCipher.__checksum(groups)
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# Convert to chars and return
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return "".join([CardCipher.VALID_CHARS[i] for i in groups])
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@staticmethod
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def decode(cardid: str) -> str:
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"""
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Given a card string as shown on the back of the card, return the card ID
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as stored on the card itself. Does some sanitization to remove dashes,
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spaces and convert confusing characters (1, L and 0, O) before converting.
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Parameters:
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cardid - String representation of the card string.
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Returns:
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16 digit card ID (hex values stored as string).
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"""
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# First sanitize the input
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cardid = cardid.replace(" ", "")
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cardid = cardid.replace("-", "")
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cardid = cardid.upper()
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for c in CardCipher.CONV_CHARS:
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cardid = cardid.replace(c, CardCipher.CONV_CHARS[c])
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if len(cardid) != 16:
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raise CardCipherException(
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f"Expected 16-character card ID, got {len(cardid)}",
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)
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for c in cardid:
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if c not in CardCipher.VALID_CHARS:
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raise CardCipherException(
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f"Got unexpected character {c} in card ID",
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)
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# Convert chars to groups
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groups = [0] * 16
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for i in range(0, 16):
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for j in range(0, 32):
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if cardid[i] == CardCipher.VALID_CHARS[j]:
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groups[i] = j
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break
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# Verify scheme and checksum
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if groups[14] != 1 and groups[14] != 2:
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raise CardCipherException("Unrecognized card type")
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if groups[15] != CardCipher.__checksum(groups):
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raise CardCipherException("Bad card number")
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# Un-smear 14 fields back into 13
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for i in range(13, 0, -1):
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groups[i] ^= groups[i - 1]
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groups[0] ^= groups[14]
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# Explode groups into bits
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bits = [0] * 64
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for i in range(0, 64):
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bits[i] = (groups[i // 5] >> (4 - (i % 5))) & 1
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# Re-pack bits into eight bytes
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ciphered = bytearray(8)
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for i in range(0, 64):
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ciphered[i // 8] |= bits[i] << (7 - (i % 8))
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# Decipher and reverse
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deciphered = CardCipher._decode(ciphered)
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reverse = deciphered[::-1]
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# Convert to a string, verify we have the same type
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finalvalue = reverse.hex().upper()
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if groups[14] != CardCipher.__type_from_cardid(finalvalue):
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raise CardCipherException("Card type mismatch")
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return finalvalue
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# extended/modified luhn mod 32 checksum?
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@staticmethod
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def __checksum(data: List[int]) -> int:
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checksum = sum(n * 1 for n in data[0:15:3])
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checksum += sum(n * 2 for n in data[1:15:3])
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checksum += sum(n * 3 for n in data[2:15:3])
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while checksum >= 0x20:
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checksum = sum(divmod(checksum, 0x20))
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return checksum
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# DES3 implementation (unknown master key)
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@staticmethod
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def _encode(inbytes: bytes) -> bytes:
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if len(inbytes) != 8:
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raise CardCipherException(
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f"Expected 8-byte input, got {len(inbytes)}",
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)
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out = CardCipher.__des_encrypt(CardCipher.DES3_KEY1, inbytes)
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out = CardCipher.__des_decrypt(CardCipher.DES3_KEY2, out)
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out = CardCipher.__des_encrypt(CardCipher.DES3_KEY3, out)
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return bytes(out)
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# https://kernel.googlesource.com/pub/scm/linux/kernel/git/klassert/ipsec/+/refs/tags/v2.6.12-rc2/crypto/des.c
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@staticmethod
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def _decode(inbytes: bytes) -> bytes:
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if len(inbytes) != 8:
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raise CardCipherException(
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f"Expected 8-byte input, got {len(inbytes)}",
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)
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out = CardCipher.__des_decrypt(CardCipher.DES3_KEY3, inbytes)
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out = CardCipher.__des_encrypt(CardCipher.DES3_KEY2, out)
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out = CardCipher.__des_decrypt(CardCipher.DES3_KEY1, out)
|
|
|
|
return bytes(out)
|
|
|
|
@staticmethod
|
|
def __initial_permutation(data: bytes) -> Tuple[int, int]:
|
|
L = int.from_bytes(data[0:4], "little")
|
|
R = int.from_bytes(data[4:8], "little")
|
|
|
|
T = ((R >> 4) ^ L) & 0x0F0F0F0F
|
|
R ^= T << 4
|
|
L ^= T
|
|
T = ((L >> 16) ^ R) & 0x0000FFFF
|
|
L ^= T << 16
|
|
R ^= T
|
|
T = ((R >> 2) ^ L) & 0x33333333
|
|
R ^= T << 2
|
|
L ^= T
|
|
T = ((L >> 8) ^ R) & 0x00FF00FF
|
|
L ^= T << 8
|
|
R ^= T
|
|
R = CardCipher.__ror(R, 1)
|
|
T = (L ^ R) & 0x55555555
|
|
L ^= T
|
|
R ^= T
|
|
L = CardCipher.__ror(L, 1)
|
|
|
|
return R & 0xFFFFFFFF, L & 0xFFFFFFFF
|
|
|
|
@staticmethod
|
|
def __final_permutation(L: int, R: int) -> bytes:
|
|
R = CardCipher.__ror(R, 31)
|
|
T = (L ^ R) & 0x55555555
|
|
L ^= T
|
|
R ^= T
|
|
L = CardCipher.__ror(L, 31)
|
|
T = ((R >> 8) ^ L) & 0x00FF00FF
|
|
R ^= T << 8
|
|
L ^= T
|
|
T = ((L >> 2) ^ R) & 0x33333333
|
|
L ^= T << 2
|
|
R ^= T
|
|
T = ((R >> 16) ^ L) & 0x0000FFFF
|
|
R ^= T << 16
|
|
L ^= T
|
|
T = ((L >> 4) ^ R) & 0x0F0F0F0F
|
|
L ^= T << 4
|
|
R ^= T
|
|
|
|
return R.to_bytes(4, "little") + L.to_bytes(4, "little")
|
|
|
|
@staticmethod
|
|
def __des_encrypt(expkey: List[int], inbytes: bytes) -> bytes:
|
|
L, R = CardCipher.__initial_permutation(inbytes)
|
|
|
|
for i in range(0, 32, 4):
|
|
T = expkey[i] ^ R
|
|
L ^= (
|
|
CardCipher.LUT_A0[(T >> 26) & 0x3F]
|
|
^ CardCipher.LUT_A1[(T >> 18) & 0x3F]
|
|
^ CardCipher.LUT_A2[(T >> 10) & 0x3F]
|
|
^ CardCipher.LUT_A3[(T >> 2) & 0x3F]
|
|
)
|
|
|
|
T = expkey[i + 1] ^ R
|
|
T = CardCipher.__ror(T, 28)
|
|
L ^= (
|
|
CardCipher.LUT_B0[(T >> 26) & 0x3F]
|
|
^ CardCipher.LUT_B1[(T >> 18) & 0x3F]
|
|
^ CardCipher.LUT_B2[(T >> 10) & 0x3F]
|
|
^ CardCipher.LUT_B3[(T >> 2) & 0x3F]
|
|
)
|
|
|
|
T = expkey[i + 2] ^ L
|
|
R ^= (
|
|
CardCipher.LUT_A0[(T >> 26) & 0x3F]
|
|
^ CardCipher.LUT_A1[(T >> 18) & 0x3F]
|
|
^ CardCipher.LUT_A2[(T >> 10) & 0x3F]
|
|
^ CardCipher.LUT_A3[(T >> 2) & 0x3F]
|
|
)
|
|
|
|
T = expkey[i + 3] ^ L
|
|
T = CardCipher.__ror(T, 28)
|
|
R ^= (
|
|
CardCipher.LUT_B0[(T >> 26) & 0x3F]
|
|
^ CardCipher.LUT_B1[(T >> 18) & 0x3F]
|
|
^ CardCipher.LUT_B2[(T >> 10) & 0x3F]
|
|
^ CardCipher.LUT_B3[(T >> 2) & 0x3F]
|
|
)
|
|
|
|
return CardCipher.__final_permutation(R, L)
|
|
|
|
@staticmethod
|
|
def __des_decrypt(expkey: List[int], inbytes: bytes) -> bytes:
|
|
L, R = CardCipher.__initial_permutation(inbytes)
|
|
|
|
for i in range(0, 32, 4):
|
|
T = expkey[31 - i] ^ R
|
|
T = CardCipher.__ror(T, 28)
|
|
L ^= (
|
|
CardCipher.LUT_B0[(T >> 26) & 0x3F]
|
|
^ CardCipher.LUT_B1[(T >> 18) & 0x3F]
|
|
^ CardCipher.LUT_B2[(T >> 10) & 0x3F]
|
|
^ CardCipher.LUT_B3[(T >> 2) & 0x3F]
|
|
)
|
|
|
|
T = expkey[30 - i] ^ R
|
|
L ^= (
|
|
CardCipher.LUT_A0[(T >> 26) & 0x3F]
|
|
^ CardCipher.LUT_A1[(T >> 18) & 0x3F]
|
|
^ CardCipher.LUT_A2[(T >> 10) & 0x3F]
|
|
^ CardCipher.LUT_A3[(T >> 2) & 0x3F]
|
|
)
|
|
|
|
T = expkey[29 - i] ^ L
|
|
T = CardCipher.__ror(T, 28)
|
|
R ^= (
|
|
CardCipher.LUT_B0[(T >> 26) & 0x3F]
|
|
^ CardCipher.LUT_B1[(T >> 18) & 0x3F]
|
|
^ CardCipher.LUT_B2[(T >> 10) & 0x3F]
|
|
^ CardCipher.LUT_B3[(T >> 2) & 0x3F]
|
|
)
|
|
|
|
T = expkey[28 - i] ^ L
|
|
R ^= (
|
|
CardCipher.LUT_A0[(T >> 26) & 0x3F]
|
|
^ CardCipher.LUT_A1[(T >> 18) & 0x3F]
|
|
^ CardCipher.LUT_A2[(T >> 10) & 0x3F]
|
|
^ CardCipher.LUT_A3[(T >> 2) & 0x3F]
|
|
)
|
|
|
|
return CardCipher.__final_permutation(R, L)
|
|
|
|
@staticmethod
|
|
def __ror(val: int, amount: int) -> int:
|
|
return ((val << (32 - amount)) & 0xFFFFFFFF) | ((val >> amount) & 0xFFFFFFFF)
|