Initialize AES S-Box directly
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This commit is contained in:
DataHoarder 2024-04-17 06:45:08 +02:00
parent aab8f99dd4
commit 1ce9bff7d3
Signed by: DataHoarder
SSH key fingerprint: SHA256:OLTRf6Fl87G52SiR7sWLGNzlJt4WOX+tfI2yxo0z7xk

View file

@ -14,9 +14,21 @@
package aes
import (
"bytes"
"math/bits"
)
// This file generates AES constants - 8720 bytes of initialized data.
// https://csrc.nist.gov/publications/fips/fips197/fips-197.pdf
// AES is based on the mathematical behavior of binary polynomials
// (polynomials over GF(2)) modulo the irreducible polynomial x⁸ + x⁴ + x³ + x + 1.
// Addition of these binary polynomials corresponds to binary xor.
// Reducing mod poly corresponds to binary xor with poly every
// time a 0x100 bit appears.
const poly = 1<<8 | 1<<4 | 1<<3 | 1<<1 | 1<<0 // x⁸ + x⁴ + x³ + x + 1
// Multiply b and c as GF(2) polynomials modulo poly
func mul(b, c uint32) uint32 {
i := b
@ -40,78 +52,48 @@ func mul(b, c uint32) uint32 {
return s
}
// This file contains AES constants - 8720 bytes of initialized data.
// sbox0 FIPS-197 Figure 7. S-box substitution values generation
var sbox0 = func() (sbox [256]byte) {
var p, q uint8 = 1, 1
for {
/* multiply p by 3 */
if p&0x80 != 0 {
p ^= (p << 1) ^ 0x1b
} else {
p ^= p << 1
}
// https://csrc.nist.gov/publications/fips/fips197/fips-197.pdf
/* divide q by 3 (equals multiplication by 0xf6) */
q ^= q << 1
q ^= q << 2
q ^= q << 4
if q&0x80 != 0 {
q ^= 0x09
}
// AES is based on the mathematical behavior of binary polynomials
// (polynomials over GF(2)) modulo the irreducible polynomial x⁸ + x⁴ + x³ + x + 1.
// Addition of these binary polynomials corresponds to binary xor.
// Reducing mod poly corresponds to binary xor with poly every
// time a 0x100 bit appears.
const poly = 1<<8 | 1<<4 | 1<<3 | 1<<1 | 1<<0 // x⁸ + x⁴ + x³ + x + 1
/* compute the affine transformation */
xformed := q ^ bits.RotateLeft8(q, 1) ^ bits.RotateLeft8(q, 2) ^ bits.RotateLeft8(q, 3) ^ bits.RotateLeft8(q, 4)
sbox[p] = xformed ^ 0x63
// Powers of x mod poly in GF(2).
var powx = [16]byte{
0x01,
0x02,
0x04,
0x08,
0x10,
0x20,
0x40,
0x80,
0x1b,
0x36,
0x6c,
0xd8,
0xab,
0x4d,
0x9a,
0x2f,
}
if p == 1 {
break
}
}
// FIPS-197 Figure 7. S-box substitution values in hexadecimal format.
var sbox0 = [256]byte{
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,
}
/* 0 is a special case since it has no inverse */
sbox[0] = 0x63
return sbox
}()
// FIPS-197 Figure 14. Inverse S-box substitution values in hexadecimal format.
var sbox1 = [256]byte{
0x52, 0x09, 0x6a, 0xd5, 0x30, 0x36, 0xa5, 0x38, 0xbf, 0x40, 0xa3, 0x9e, 0x81, 0xf3, 0xd7, 0xfb,
0x7c, 0xe3, 0x39, 0x82, 0x9b, 0x2f, 0xff, 0x87, 0x34, 0x8e, 0x43, 0x44, 0xc4, 0xde, 0xe9, 0xcb,
0x54, 0x7b, 0x94, 0x32, 0xa6, 0xc2, 0x23, 0x3d, 0xee, 0x4c, 0x95, 0x0b, 0x42, 0xfa, 0xc3, 0x4e,
0x08, 0x2e, 0xa1, 0x66, 0x28, 0xd9, 0x24, 0xb2, 0x76, 0x5b, 0xa2, 0x49, 0x6d, 0x8b, 0xd1, 0x25,
0x72, 0xf8, 0xf6, 0x64, 0x86, 0x68, 0x98, 0x16, 0xd4, 0xa4, 0x5c, 0xcc, 0x5d, 0x65, 0xb6, 0x92,
0x6c, 0x70, 0x48, 0x50, 0xfd, 0xed, 0xb9, 0xda, 0x5e, 0x15, 0x46, 0x57, 0xa7, 0x8d, 0x9d, 0x84,
0x90, 0xd8, 0xab, 0x00, 0x8c, 0xbc, 0xd3, 0x0a, 0xf7, 0xe4, 0x58, 0x05, 0xb8, 0xb3, 0x45, 0x06,
0xd0, 0x2c, 0x1e, 0x8f, 0xca, 0x3f, 0x0f, 0x02, 0xc1, 0xaf, 0xbd, 0x03, 0x01, 0x13, 0x8a, 0x6b,
0x3a, 0x91, 0x11, 0x41, 0x4f, 0x67, 0xdc, 0xea, 0x97, 0xf2, 0xcf, 0xce, 0xf0, 0xb4, 0xe6, 0x73,
0x96, 0xac, 0x74, 0x22, 0xe7, 0xad, 0x35, 0x85, 0xe2, 0xf9, 0x37, 0xe8, 0x1c, 0x75, 0xdf, 0x6e,
0x47, 0xf1, 0x1a, 0x71, 0x1d, 0x29, 0xc5, 0x89, 0x6f, 0xb7, 0x62, 0x0e, 0xaa, 0x18, 0xbe, 0x1b,
0xfc, 0x56, 0x3e, 0x4b, 0xc6, 0xd2, 0x79, 0x20, 0x9a, 0xdb, 0xc0, 0xfe, 0x78, 0xcd, 0x5a, 0xf4,
0x1f, 0xdd, 0xa8, 0x33, 0x88, 0x07, 0xc7, 0x31, 0xb1, 0x12, 0x10, 0x59, 0x27, 0x80, 0xec, 0x5f,
0x60, 0x51, 0x7f, 0xa9, 0x19, 0xb5, 0x4a, 0x0d, 0x2d, 0xe5, 0x7a, 0x9f, 0x93, 0xc9, 0x9c, 0xef,
0xa0, 0xe0, 0x3b, 0x4d, 0xae, 0x2a, 0xf5, 0xb0, 0xc8, 0xeb, 0xbb, 0x3c, 0x83, 0x53, 0x99, 0x61,
0x17, 0x2b, 0x04, 0x7e, 0xba, 0x77, 0xd6, 0x26, 0xe1, 0x69, 0x14, 0x63, 0x55, 0x21, 0x0c, 0x7d,
}
// sbox1 FIPS-197 Figure 14. Inverse S-box substitution values generation
var sbox1 = func() (isbox [256]byte) {
for i := range sbox0 {
isbox[i] = uint8(bytes.IndexByte(sbox0[:], uint8(i)))
}
return isbox
}()
// Lookup tables for encryption.
// encLut Lookup tables for encryption.
var encLut = func() (te [4][256]uint32) {
for i := 0; i < 256; i++ {
s := uint32(sbox0[i])
@ -127,7 +109,7 @@ var encLut = func() (te [4][256]uint32) {
return te
}()
// Lookup tables for decryption.
// decLut Lookup tables for decryption.
var decLut = func() (td [4][256]uint32) {
for i := 0; i < 256; i++ {
s := uint32(sbox1[i])