常见对称加密算法(4比特到10比特)规模S盒查找表及其对应ANF
什么是布尔函数的ANF(代数正规型)？
为什么叫"正规型"？
因为它是代数攻击最直接面对的"正规"形式。在ANF中，每一项的次数（即乘法项中变量的个数，如xy次数为2）直接决定了函数运算的复杂度。最高次项的次数就是布尔函数f的代数次数，这是衡量密码安全性的核心基石。
为什么要了解了解S盒分量布尔函数的ANF？
了解S盒分量布尔函数的代数正规型（ANF），核心作用在于为密码分析（特别是代数攻击）提供关键数据，并量化S盒的核心安全指标。
在密码算法的工程实现中，S盒的分量布尔函数采用代数正规型（ANF）表示，相较于真值表、查找表或多项式基等其他常见形式，无论在软件的功能正确性验证层面，还是在运行时执行效率层面，均展现出显著的综合优势。从功能正确性看，ANF直接对应布尔函数的代数次数和单项式结构，便于形式化验证差分均匀性、非线性度等密码学指标，能有效避免因查表边界条件或存储截断引发的隐性错误；从执行效率看，ANF的求值可转化为位运算（与、异或）的固定短流水线，无需内存访问，在SIMD或寄存器级并行下可大幅减少时钟周期，且其系数稀疏性往往能进一步剪枝冗余计算。相比之下，传统查表法虽实现直观，却受限于缓存缺失、时序侧信道和规模扩展性；而多项式插值法又存在计算开销过大的问题。因此，综合功能安全性与速度鲁棒性，ANF表示的S盒分量函数无疑是当前软硬件协同设计中的更优选择。
简单来说，ANF是将布尔函数表示为关于输入比特的"异或和"（XOR）与"逻辑与"（AND）的多项式。这种表示是唯一的，它把复杂的密码部件转化为了具体的代数方程。
具体作用体现在以下几个方面：
（1）评估代数次数 (Algebraic Degree)：ANF多项式中最高次项的次数。次数越低，S盒越容易被转化为低次方程，从而面临更严重的代数攻击威胁。
（2）发动代数攻击 (Algebraic Attacks)：将整个密码系统表示为ANF方程组后，通过收集明文-密文对来求解密钥。例如，利用AES的ANF，已能在约2^33小时内恢复128比特密钥。
（3）衡量代数免疫度 (Algebraic Immunity)：衡量抵御特定代数攻击的能力。这个关键指标必须通过分析ANF才能计算。
（4）分析算法结构与偏差：ANF能揭示算法与随机置换的潜在结构性偏差。例如研究发现AES轮函数的ANF项数（约496项）远少于随机函数（约2^31项），显示其存在非随机结构。
（5）优化硬件实现：由于ANF直接对应"异或"和"与"逻辑门，可直接用于优化FPGA等硬件电路的面积与功耗。
总而言之，ANF是连接"密码部件"与"代数方程"的桥梁。通过它，我们得以用数学工具量化分析S盒的安全性，并预测其抵抗代数攻击的能力。
以下我将给出常见对称加密算法中的(4X4到10X10)规模双射S盒查找表以及通过本人编写的"S盒分量布尔函数ANF"工具求解对应S盒的ANF。本工具" S盒分量布尔函数ANF"完美解决了"S盒密码指标自动评估软件sboxAssessment"这个软件存在的问题，修复了后者在代数次数和代数项数上计算不准确的问题。
PRESENT 算法(分组加密算法，S盒规模：4X4)
该S盒的查找表为：
{0x0C,0x05,0x06,0x0B,0x09,0x00,0x0A,0x0D,0x03,0x0E,0x0F,0x08,0x04,0x07,0x01,0x02};
对应的S盒分量布尔函数ANF求解结果为：
SHA3 算法(密码杂凑算法，S盒规模：5X5)
该S盒的查找表为：
{
0,9,18,11,5,12,22,15,10,3,24,1,13,4,30,7,20,21,6,23,17,16,2,19,26,27,8,25,29,28,14,31
};
对应的S盒分量布尔函数ANF求解结果为：
自创算法(分组加密算法，S盒规模：6X6)
该S盒的查找表为：
{
0x15, 0x35, 0x34, 0x0A, 0x36, 0x20, 0x2B, 0x18,
0x32, 0x3C, 0x1E, 0x1B, 0x08, 0x10, 0x0F, 0x33,
0x3A, 0x0E, 0x26, 0x2C, 0x03, 0x24, 0x09, 0x13,
0x2F, 0x29, 0x1F, 0x04, 0x21, 0x3E, 0x38, 0x0D,
0x2A, 0x05, 0x23, 0x3F, 0x12, 0x31, 0x06, 0x27,
0x39, 0x28, 0x16, 0x3D, 0x2D, 0x0B, 0x19, 0x30,
0x00, 0x1D, 0x0C, 0x07, 0x01, 0x3B, 0x37, 0x1A,
0x1C, 0x11, 0x22, 0x02, 0x2E, 0x17, 0x25, 0x14
};
对应的S盒分量布尔函数ANF求解结果为：
MISTY1 算法(分组加密算法，S盒规模：7X7)
该S盒的查找表为：
{
0x1b,0x32,0x33,0x5a,0x3b,0x10,0x17,0x54,0x5b,0x1a,0x72,0x73,0x6b,0x2c,0x66,0x49,
0x1f,0x24,0x13,0x6c,0x37,0x2e,0x3f,0x4a,0x5d,0x0f,0x40,0x56,0x25,0x51,0x1c,0x04,
0x0b,0x46,0x20,0x0d,0x7b,0x35,0x44,0x42,0x2b,0x1e,0x41,0x14,0x4b,0x79,0x15,0x6f,
0x0e,0x55,0x09,0x36,0x74,0x0c,0x67,0x53,0x28,0x0a,0x7e,0x38,0x02,0x07,0x60,0x29,
0x19,0x12,0x65,0x2f,0x30,0x39,0x08,0x68,0x5f,0x78,0x2a,0x4c,0x64,0x45,0x75,0x3d,
0x59,0x48,0x03,0x57,0x7c,0x4f,0x62,0x3c,0x1d,0x21,0x5e,0x27,0x6a,0x70,0x4d,0x3a,
0x01,0x6d,0x6e,0x63,0x18,0x77,0x23,0x05,0x26,0x76,0x00,0x31,0x2d,0x7a,0x7f,0x61,
0x50,0x22,0x11,0x06,0x47,0x16,0x52,0x4e,0x71,0x3e,0x69,0x43,0x34,0x5c,0x58,0x7d
};
对应的S盒分量布尔函数ANF求解结果为：
AES 算法(分组加密算法，S盒规模：8X8)
该S盒的查找表为：
{
0x63,0x7c,0x77,0x7b,0xf2,0x6b,0x6f,0xc5,0x30,0x01,0x67,0x2b,0xfe,0xd7,0xab,0x76,
0xca,0x82,0xc9,0x7d,0xfa,0x59,0x47,0xf0,0xad,0xd4,0xa2,0xaf,0x9c,0xa4,0x72,0xc0,
0xb7,0xfd,0x93,0x26,0x36,0x3f,0xf7,0xcc,0x34,0xa5,0xe5,0xf1,0x71,0xd8,0x31,0x15,
0x04,0xc7,0x23,0xc3,0x18,0x96,0x05,0x9a,0x07,0x12,0x80,0xe2,0xeb,0x27,0xb2,0x75,
0x09,0x83,0x2c,0x1a,0x1b,0x6e,0x5a,0xa0,0x52,0x3b,0xd6,0xb3,0x29,0xe3,0x2f,0x84,
0x53,0xd1,0x00,0xed,0x20,0xfc,0xb1,0x5b,0x6a,0xcb,0xbe,0x39,0x4a,0x4c,0x58,0xcf,
0xd0,0xef,0xaa,0xfb,0x43,0x4d,0x33,0x85,0x45,0xf9,0x02,0x7f,0x50,0x3c,0x9f,0xa8,
0x51,0xa3,0x40,0x8f,0x92,0x9d,0x38,0xf5,0xbc,0xb6,0xda,0x21,0x10,0xff,0xf3,0xd2,
0xcd,0x0c,0x13,0xec,0x5f,0x97,0x44,0x17,0xc4,0xa7,0x7e,0x3d,0x64,0x5d,0x19,0x73,
0x60,0x81,0x4f,0xdc,0x22,0x2a,0x90,0x88,0x46,0xee,0xb8,0x14,0xde,0x5e,0x0b,0xdb,
0xe0,0x32,0x3a,0x0a,0x49,0x06,0x24,0x5c,0xc2,0xd3,0xac,0x62,0x91,0x95,0xe4,0x79,
0xe7,0xc8,0x37,0x6d,0x8d,0xd5,0x4e,0xa9,0x6c,0x56,0xf4,0xea,0x65,0x7a,0xae,0x08,
0xba,0x78,0x25,0x2e,0x1c,0xa6,0xb4,0xc6,0xe8,0xdd,0x74,0x1f,0x4b,0xbd,0x8b,0x8a,
0x70,0x3e,0xb5,0x66,0x48,0x03,0xf6,0x0e,0x61,0x35,0x57,0xb9,0x86,0xc1,0x1d,0x9e,
0xe1,0xf8,0x98,0x11,0x69,0xd9,0x8e,0x94,0x9b,0x1e,0x87,0xe9,0xce,0x55,0x28,0xdf,
0x8c,0xa1,0x89,0x0d,0xbf,0xe6,0x42,0x68,0x41,0x99,0x2d,0x0f,0xb0,0x54,0xbb,0x16
};
对应的S盒分量布尔函数ANF求解结果为：
KASUMI 算法(分组加密算法，S盒规模：9X9)
该S盒的查找表为：
{
0x00a7, 0x00ef, 0x00a1, 0x017b, 0x0187, 0x014e, 0x0009, 0x0152, 0x0026, 0x00e2, 0x0030, 0x0166, 0x01c4, 0x0181, 0x005a, 0x018d,
0x00b7, 0x00fd, 0x0093, 0x014b, 0x019f, 0x0154, 0x0033, 0x016a, 0x0132, 0x01f4, 0x0106, 0x0052, 0x00d8, 0x009f, 0x0164, 0x00b1,
0x00af, 0x00f1, 0x01e9, 0x0025, 0x00ce, 0x0011, 0x0000, 0x014d, 0x002c, 0x00fe, 0x017a, 0x003a, 0x008f, 0x00dc, 0x0051, 0x0190,
0x005f, 0x0003, 0x013b, 0x00f5, 0x0036, 0x00eb, 0x00da, 0x0195, 0x01d8, 0x0108, 0x00ac, 0x01ee, 0x0173, 0x0122, 0x018f, 0x004c,
0x00a5, 0x00c5, 0x018b, 0x0079, 0x0101, 0x01e0, 0x01a7, 0x00d4, 0x00f0, 0x001c, 0x01ce, 0x00b0, 0x0196, 0x01fb, 0x0120, 0x00df,
0x01f5, 0x0197, 0x00f9, 0x0109, 0x0059, 0x00ba, 0x00dd, 0x01ac, 0x00a4, 0x004a, 0x01b8, 0x00c4, 0x01ca, 0x01a5, 0x015e, 0x00a3,
0x00e8, 0x009e, 0x0086, 0x0162, 0x000d, 0x00fa, 0x01eb, 0x008e, 0x00bf, 0x0045, 0x00c1, 0x01a9, 0x0098, 0x00e3, 0x016e, 0x0087,
0x0158, 0x012c, 0x0114, 0x00f2, 0x01b5, 0x0140, 0x0071, 0x0116, 0x000b, 0x00f3, 0x0057, 0x013d, 0x0024, 0x005d, 0x01f0, 0x001b,
0x01e7, 0x01be, 0x01e2, 0x0029, 0x0044, 0x009c, 0x01c9, 0x0083, 0x0146, 0x0193, 0x0153, 0x0014, 0x0027, 0x0073, 0x01ba, 0x007c,
0x01db, 0x0180, 0x01fc, 0x0035, 0x0070, 0x00aa, 0x01df, 0x0097, 0x007e, 0x00a9, 0x0049, 0x010c, 0x0117, 0x0141, 0x00a8, 0x016c,
0x016b, 0x0124, 0x002e, 0x01f3, 0x0189, 0x0147, 0x0144, 0x0018, 0x01c8, 0x010b, 0x009d, 0x01cc, 0x01e8, 0x01aa, 0x0135, 0x00e5,
0x01b7, 0x01fa, 0x00d0, 0x010f, 0x015d, 0x0191, 0x01b2, 0x00ec, 0x0010, 0x00d1, 0x0167, 0x0034, 0x0038, 0x0078, 0x00c7, 0x0115,
0x01d1, 0x01a0, 0x00fc, 0x011f, 0x00f6, 0x0006, 0x0053, 0x0131, 0x01a4, 0x0159, 0x0099, 0x01f6, 0x0041, 0x003d, 0x00f4, 0x011a,
0x00ad, 0x00de, 0x01a2, 0x0043, 0x0182, 0x0170, 0x0105, 0x0065, 0x01dc, 0x0123, 0x00c3, 0x01ae, 0x0031, 0x004f, 0x00a6, 0x014a,
0x0118, 0x017f, 0x0175, 0x0080, 0x017e, 0x0198, 0x009b, 0x01ef, 0x016f, 0x0184, 0x0112, 0x006b, 0x01cb, 0x01a1, 0x003e, 0x01c6,
0x0084, 0x00e1, 0x00cb, 0x013c, 0x00ea, 0x000e, 0x012d, 0x005b, 0x01f7, 0x011e, 0x01a8, 0x00d3, 0x015b, 0x0133, 0x008c, 0x0176,
0x0023, 0x0067, 0x007d, 0x01ab, 0x0013, 0x00d6, 0x01c5, 0x0092, 0x01f2, 0x013a, 0x01bc, 0x00e6, 0x0100, 0x0149, 0x00c6, 0x011d,
0x0032, 0x0074, 0x004e, 0x019a, 0x000a, 0x00cd, 0x01fe, 0x00ab, 0x00e7, 0x002d, 0x008b, 0x01d3, 0x001d, 0x0056, 0x01f9, 0x0020,
0x0048, 0x001a, 0x0156, 0x0096, 0x0139, 0x01ea, 0x01af, 0x00ee, 0x019b, 0x0145, 0x0095, 0x01d9, 0x0028, 0x0077, 0x00ae, 0x0163,
0x00b9, 0x00e9, 0x0185, 0x0047, 0x01c0, 0x0111, 0x0174, 0x0037, 0x006e, 0x00b2, 0x0142, 0x000c, 0x01d5, 0x0188, 0x0171, 0x00be,
0x0001, 0x006d, 0x0177, 0x0089, 0x00b5, 0x0058, 0x004b, 0x0134, 0x0104, 0x01e4, 0x0062, 0x0110, 0x0172, 0x0113, 0x019c, 0x006f,
0x0150, 0x013e, 0x0004, 0x01f8, 0x01ec, 0x0103, 0x0130, 0x004d, 0x0151, 0x01b3, 0x0015, 0x0165, 0x012f, 0x014c, 0x01e3, 0x0012,
0x002f, 0x0055, 0x0019, 0x01f1, 0x01da, 0x0121, 0x0064, 0x010d, 0x0128, 0x01de, 0x010e, 0x006a, 0x001f, 0x0068, 0x01b1, 0x0054,
0x019e, 0x01e6, 0x018a, 0x0060, 0x0063, 0x009a, 0x01ff, 0x0094, 0x019d, 0x0169, 0x0199, 0x00ff, 0x00a2, 0x00d7, 0x012e, 0x00c9,
0x010a, 0x015f, 0x0157, 0x0090, 0x01b9, 0x016d, 0x006c, 0x012a, 0x00fb, 0x0022, 0x00b6, 0x01fd, 0x008a, 0x00d2, 0x014f, 0x0085,
0x0137, 0x0160, 0x0148, 0x008d, 0x018c, 0x015a, 0x007b, 0x013f, 0x01c2, 0x0119, 0x01ad, 0x00e4, 0x01bb, 0x01e1, 0x005c, 0x0194,
0x01e5, 0x01a6, 0x00f8, 0x0129, 0x0017, 0x00d5, 0x0082, 0x01d2, 0x0016, 0x00d9, 0x011b, 0x0046, 0x0126, 0x0168, 0x01a3, 0x007f,
0x0138, 0x0179, 0x0007, 0x01d4, 0x00c2, 0x0002, 0x0075, 0x0127, 0x01cf, 0x0102, 0x00e0, 0x01bf, 0x00f7, 0x00bb, 0x0050, 0x018e,
0x011c, 0x0161, 0x0069, 0x0186, 0x012b, 0x01d7, 0x01d6, 0x00b8, 0x0039, 0x00c8, 0x015c, 0x003f, 0x00cc, 0x00bc, 0x0021, 0x01c3,
0x0061, 0x001e, 0x0136, 0x00db, 0x005e, 0x00a0, 0x0081, 0x01ed, 0x0040, 0x00b3, 0x0107, 0x0066, 0x00bd, 0x00cf, 0x0072, 0x0192,
0x01b6, 0x01dd, 0x0183, 0x007a, 0x00c0, 0x002a, 0x017d, 0x0005, 0x0091, 0x0076, 0x00b4, 0x01c1, 0x0125, 0x0143, 0x0088, 0x017c,
0x002b, 0x0042, 0x003c, 0x01c7, 0x0155, 0x01bd, 0x00ca, 0x01b0, 0x0008, 0x00ed, 0x000f, 0x0178, 0x01b4, 0x01d0, 0x003b, 0x01cd
};
对应的S盒分量布尔函数ANF求解结果为：
自创算法(分组加密算法算法，S盒规模：10X10)
该S盒的查找表为：
{
0x0029,0x0023,0x0278,0x019b,0x0049,0x00d9,0x00d6,0x00db,0x0152,0x0390,0x0249,0x01ba,0x02f1,0x0002,0x02e9,0x01eb,
0x02d7,0x026d,0x02db,0x013c,0x031d,0x0046,0x033e,0x0099,0x0124,0x005e,0x01bb,0x01e7,0x01c4,0x0297,0x0196,0x0028,
0x025c,0x0189,0x0061,0x01c8,0x0043,0x02bb,0x0247,0x0266,0x0309,0x0074,0x025a,0x00a2,0x00a4,0x022f,0x0325,0x03d7,
0x0163,0x02d4,0x005c,0x01fb,0x0396,0x00b6,0x0245,0x03e0,0x0213,0x00a3,0x03aa,0x005d,0x0106,0x03db,0x0007,0x0332,
0x0352,0x0199,0x0350,0x02fd,0x01f5,0x01a5,0x00ed,0x00fd,0x00c0,0x0128,0x0082,0x03f6,0x0097,0x0274,0x00c2,0x01dc,
0x00d2,0x014f,0x010a,0x01f2,0x0144,0x0240,0x0366,0x00d3,0x026b,0x011a,0x0126,0x0391,0x03cb,0x030a,0x0369,0x034d,
0x02f6,0x0283,0x0184,0x009d,0x00e4,0x018b,0x015f,0x0072,0x0013,0x026f,0x0129,0x0359,0x000c,0x0372,0x039d,0x000a,
0x012c,0x02ad,0x007e,0x02c5,0x004e,0x0373,0x0355,0x02b3,0x0136,0x02b2,0x03c9,0x01ee,0x021c,0x00bf,0x0083,0x0006,
0x023e,0x00cd,0x0363,0x03da,0x022d,0x00e8,0x014d,0x02c9,0x0183,0x01ef,0x02e8,0x006f,0x023c,0x02a8,0x01ab,0x0059,
0x0261,0x02cd,0x0348,0x021e,0x0370,0x025e,0x0116,0x0172,0x001f,0x02e6,0x01b7,0x016d,0x0003,0x027b,0x02dd,0x010d,
0x01b9,0x00d7,0x03e8,0x020d,0x0109,0x02a0,0x0032,0x014c,0x01b1,0x00c3,0x0096,0x0017,0x0005,0x0267,0x01f4,0x0256,
0x020f,0x008d,0x00d4,0x03a4,0x0070,0x0204,0x03f5,0x03cf,0x01e9,0x0122,0x02f4,0x02cc,0x03bc,0x01d3,0x032d,0x0151,
0x0212,0x0054,0x018f,0x0175,0x03e6,0x0045,0x03bb,0x012a,0x03e5,0x01c0,0x0388,0x027d,0x01b2,0x0165,0x0166,0x0344,
0x010e,0x025f,0x00ad,0x0300,0x0127,0x03ed,0x0138,0x03be,0x00cc,0x015c,0x010c,0x0298,0x03a2,0x0233,0x02a3,0x02a4,
0x02b8,0x0146,0x016b,0x01da,0x0004,0x0154,0x00f2,0x03b1,0x00dc,0x013e,0x02ba,0x01b6,0x03f8,0x00ea,0x0299,0x02e1,
0x00ae,0x013f,0x030e,0x03d9,0x0110,0x0117,0x0149,0x00f9,0x00b2,0x0168,0x0111,0x024a,0x02d0,0x008a,0x0020,0x00a8,
0x02fa,0x0275,0x00af,0x0203,0x027c,0x003e,0x01bd,0x0188,0x018a,0x0368,0x039f,0x01fc,0x002e,0x0010,0x00bb,0x033c,
0x02e0,0x0134,0x0187,0x01d8,0x00eb,0x00e6,0x020b,0x007f,0x0337,0x0335,0x011e,0x01a4,0x0397,0x0381,0x038a,0x032b,
0x0197,0x02c6,0x01d0,0x02c2,0x00a7,0x0314,0x0268,0x0073,0x0135,0x00ee,0x03c3,0x0339,0x00f1,0x0090,0x0140,0x0321,
0x00e7,0x0209,0x016a,0x024d,0x0271,0x008b,0x01c1,0x028c,0x028d,0x02a9,0x030b,0x02cb,0x0265,0x0232,0x0088,0x013d,
0x0253,0x023a,0x021b,0x02ac,0x03d3,0x029b,0x0270,0x02ec,0x00b5,0x000e,0x03a8,0x02a2,0x007a,0x0216,0x0284,0x0164,
0x0302,0x0084,0x029a,0x02aa,0x01d4,0x0387,0x0092,0x0255,0x0009,0x03dd,0x0328,0x0156,0x03f0,0x0132,0x018e,0x01b4,
0x01a1,0x0123,0x0093,0x017c,0x029c,0x02fe,0x00f3,0x0280,0x00e3,0x01f9,0x03a5,0x01d1,0x03ab,0x0190,0x02b4,0x0259,
0x0365,0x00df,0x022a,0x0251,0x0385,0x031e,0x0108,0x00c7,0x017a,0x0382,0x007b,0x0162,0x025d,0x02b1,0x01bf,0x011f,
0x00c8,0x03f2,0x036d,0x0287,0x01d7,0x0118,0x0294,0x0114,0x0334,0x02bf,0x02c3,0x01a6,0x0221,0x0077,0x0071,0x0025,
0x034e,0x020e,0x02e3,0x026c,0x015a,0x015e,0x0147,0x0276,0x0317,0x01cb,0x017b,0x0384,0x033f,0x0241,0x0207,0x03f3,
0x030f,0x0030,0x0305,0x0392,0x023d,0x0194,0x008c,0x00f8,0x03dc,0x02d1,0x0113,0x02ca,0x0173,0x0171,0x0220,0x02dc,
0x02f3,0x02c0,0x031c,0x024f,0x0193,0x00b1,0x0215,0x00f6,0x0320,0x0394,0x00b9,0x031f,0x025b,0x01a2,0x0269,0x0226,
0x0014,0x0178,0x0346,0x02d2,0x03d0,0x0290,0x02d6,0x0301,0x0192,0x03c2,0x0210,0x019a,0x03de,0x038c,0x00d1,0x0330,
0x0157,0x00e1,0x02f0,0x032a,0x016c,0x02e2,0x01d2,0x0143,0x01db,0x035b,0x0379,0x0038,0x0375,0x01ce,0x0033,0x0035,
0x0069,0x02b9,0x0155,0x0095,0x003a,0x0137,0x019d,0x011c,0x01fd,0x0107,0x0063,0x002b,0x0202,0x0272,0x03fe,0x012f,
0x0341,0x03cd,0x037a,0x030d,0x0034,0x0340,0x00dd,0x02c7,0x0076,0x033d,0x03e7,0x00aa,0x01df,0x00a6,0x0248,0x02fb,
0x01ca,0x0242,0x0060,0x0012,0x00ca,0x019e,0x01dd,0x01c2,0x02af,0x01ed,0x0062,0x03fc,0x0104,0x00bc,0x0361,0x0031,
0x0376,0x0105,0x0286,0x0208,0x006e,0x0019,0x028e,0x0358,0x0279,0x0227,0x002d,0x0041,0x0008,0x0293,0x0362,0x02f8,
0x000b,0x03c4,0x00c1,0x0224,0x01b3,0x0264,0x03e1,0x0027,0x0222,0x0180,0x02fc,0x031b,0x033a,0x03ff,0x0161,0x024e,
0x02d5,0x016f,0x018c,0x004d,0x0310,0x01fe,0x03f7,0x0094,0x0236,0x0179,0x009a,0x004a,0x0367,0x00cf,0x02a5,0x0386,
0x0158,0x02e4,0x0036,0x0150,0x0315,0x0318,0x0119,0x028b,0x02ef,0x01a0,0x01e0,0x0112,0x00ef,0x0393,0x03e4,0x002c,
0x038f,0x0205,0x007c,0x00da,0x018d,0x03e3,0x01d5,0x0148,0x0377,0x0347,0x0234,0x037b,0x003b,0x02eb,0x0181,0x03fa,
0x00fb,0x00e0,0x00c9,0x00c6,0x03ea,0x026a,0x0307,0x020c,0x03b5,0x005f,0x0235,0x032f,0x0219,0x01a7,0x02bc,0x008e,
0x01d6,0x0345,0x02ce,0x0322,0x01c3,0x02d9,0x03f1,0x021f,0x0356,0x011d,0x03ee,0x034f,0x03c8,0x01de,0x02d8,0x012b,
0x0288,0x037c,0x0338,0x0065,0x036b,0x03a1,0x01b8,0x01ad,0x03f9,0x0277,0x027f,0x00a5,0x0066,0x03cc,0x0195,0x03c1,
0x001a,0x0292,0x0103,0x03ac,0x01ac,0x0329,0x0399,0x0098,0x02f9,0x00ab,0x0353,0x0091,0x01b5,0x0380,0x00ba,0x0053,
0x02df,0x02ed,0x0357,0x016e,0x0022,0x03bf,0x00a1,0x0182,0x007d,0x0374,0x0087,0x038b,0x0295,0x0262,0x0068,0x02c4,
0x0133,0x0389,0x0319,0x03bd,0x02f7,0x03a7,0x012e,0x03e9,0x02da,0x01c7,0x0360,0x03ce,0x001e,0x010f,0x014e,0x036e,
0x00c5,0x01e1,0x0057,0x026e,0x008f,0x0211,0x035c,0x03b4,0x02e5,0x0131,0x03d1,0x00ce,0x015b,0x02f2,0x0075,0x02ff,
0x00f7,0x03c6,0x017d,0x0048,0x03c7,0x004c,0x01c9,0x01ff,0x0024,0x0324,0x036f,0x0311,0x00e9,0x00ac,0x0244,0x03ef,
0x0316,0x0186,0x039b,0x003d,0x0281,0x035e,0x0291,0x00de,0x0142,0x03a3,0x0167,0x039e,0x00a9,0x03ec,0x0229,0x0086,
0x0331,0x015d,0x0115,0x00b3,0x017e,0x0282,0x011b,0x01cd,0x0371,0x0398,0x0246,0x03b3,0x014b,0x02ee,0x0125,0x0044,
0x00d0,0x02be,0x0064,0x01ae,0x0217,0x0018,0x003c,0x0263,0x021a,0x0231,0x037f,0x02bd,0x01e4,0x03ae,0x0016,0x0201,
0x0260,0x0349,0x020a,0x001b,0x03c5,0x004b,0x01cf,0x021d,0x0237,0x0177,0x035f,0x02b0,0x03b6,0x0089,0x03c0,0x0037,
0x005b,0x01af,0x01aa,0x0250,0x0351,0x037e,0x038e,0x0141,0x03d8,0x0191,0x02a7,0x0159,0x024c,0x012d,0x0085,0x01f8,
0x000d,0x03d6,0x0052,0x0273,0x0383,0x0160,0x035a,0x01c5,0x006d,0x01cc,0x002a,0x0042,0x02ab,0x0056,0x006c,0x013a,
0x00d5,0x006a,0x03ca,0x01e5,0x01e6,0x00bd,0x028f,0x01a9,0x00e2,0x00fc,0x03af,0x0174,0x027e,0x017f,0x01f0,0x023f,
0x0200,0x036a,0x0120,0x02ae,0x0067,0x00ff,0x00a0,0x036c,0x03f4,0x0102,0x02b6,0x02d3,0x0238,0x03d5,0x01e2,0x0230,
0x0169,0x013b,0x02c1,0x01c6,0x009f,0x001d,0x009e,0x01be,0x0185,0x032e,0x00f4,0x022e,0x00fa,0x034a,0x0304,0x03b0,
0x029d,0x0139,0x0327,0x00b7,0x0257,0x019c,0x0100,0x01b0,0x0296,0x019f,0x0021,0x0039,0x0047,0x03a0,0x01f1,0x0051,
0x01e8,0x0011,0x0130,0x006b,0x00c4,0x00ec,0x0101,0x0323,0x00f0,0x014a,0x00b4,0x03b9,0x02f5,0x03a9,0x0058,0x037d,
0x01e3,0x02b7,0x0170,0x0153,0x00be,0x02de,0x03d2,0x00b0,0x03ad,0x0254,0x03b2,0x01ea,0x038d,0x02c8,0x0228,0x0214,
0x0081,0x01f3,0x03b7,0x02ea,0x03ba,0x004f,0x02b5,0x00fe,0x03e2,0x01a8,0x01f6,0x0050,0x039c,0x010b,0x031a,0x039a,
0x03fb,0x01a3,0x029e,0x03df,0x034c,0x0285,0x0198,0x033b,0x009b,0x0206,0x01f7,0x0218,0x02cf,0x0080,0x002f,0x03fd,
0x0239,0x0378,0x003f,0x0225,0x0333,0x0343,0x02e7,0x001c,0x030c,0x02a6,0x032c,0x0342,0x0364,0x0308,0x0040,0x03d4,
0x0306,0x0312,0x0258,0x0223,0x01bc,0x027a,0x00b8,0x035d,0x0078,0x0026,0x009c,0x00f5,0x01d9,0x0303,0x0015,0x0243,
0x0079,0x03b8,0x0336,0x028a,0x0121,0x0354,0x005a,0x01fa,0x00cb,0x03a6,0x023b,0x000f,0x0395,0x022c,0x0001,0x022b,
0x00e5,0x0000,0x0145,0x0055,0x024b,0x0252,0x0313,0x0176,0x0289,0x02a1,0x01ec,0x03eb,0x0326,0x034b,0x00d8,0x029f
};
对应的S盒分量布尔函数ANF求解结果为：
经过长时间和大量测试发现，本人编写的"S盒分量布尔函数ANF"工具相比"S盒密码指标自动评估软件sboxAssessment"：不管是在软件的功能正确性和执行效率上"S盒分量布尔函数ANF"都更加有超越后者的巨大优势。希望大家玩得愉快！
通过网盘分享的文件：S盒分量布尔函数ANF.zip
链接: https://pan.baidu.com/s/1uSLRK68wQrDMkfnGISwNNw?pwd=2333 提取码: 2333
在最后，祝大家端午安康，幸福喜乐！