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- //+build ignore
- package main
- import (
- "fmt"
- )
- var logTable = [fieldSize]int16{
- -1, 0, 1, 25, 2, 50, 26, 198,
- 3, 223, 51, 238, 27, 104, 199, 75,
- 4, 100, 224, 14, 52, 141, 239, 129,
- 28, 193, 105, 248, 200, 8, 76, 113,
- 5, 138, 101, 47, 225, 36, 15, 33,
- 53, 147, 142, 218, 240, 18, 130, 69,
- 29, 181, 194, 125, 106, 39, 249, 185,
- 201, 154, 9, 120, 77, 228, 114, 166,
- 6, 191, 139, 98, 102, 221, 48, 253,
- 226, 152, 37, 179, 16, 145, 34, 136,
- 54, 208, 148, 206, 143, 150, 219, 189,
- 241, 210, 19, 92, 131, 56, 70, 64,
- 30, 66, 182, 163, 195, 72, 126, 110,
- 107, 58, 40, 84, 250, 133, 186, 61,
- 202, 94, 155, 159, 10, 21, 121, 43,
- 78, 212, 229, 172, 115, 243, 167, 87,
- 7, 112, 192, 247, 140, 128, 99, 13,
- 103, 74, 222, 237, 49, 197, 254, 24,
- 227, 165, 153, 119, 38, 184, 180, 124,
- 17, 68, 146, 217, 35, 32, 137, 46,
- 55, 63, 209, 91, 149, 188, 207, 205,
- 144, 135, 151, 178, 220, 252, 190, 97,
- 242, 86, 211, 171, 20, 42, 93, 158,
- 132, 60, 57, 83, 71, 109, 65, 162,
- 31, 45, 67, 216, 183, 123, 164, 118,
- 196, 23, 73, 236, 127, 12, 111, 246,
- 108, 161, 59, 82, 41, 157, 85, 170,
- 251, 96, 134, 177, 187, 204, 62, 90,
- 203, 89, 95, 176, 156, 169, 160, 81,
- 11, 245, 22, 235, 122, 117, 44, 215,
- 79, 174, 213, 233, 230, 231, 173, 232,
- 116, 214, 244, 234, 168, 80, 88, 175,
- }
- const (
- // The number of elements in the field.
- fieldSize = 256
- // The polynomial used to generate the logarithm table.
- //
- // There are a number of polynomials that work to generate
- // a Galois field of 256 elements. The choice is arbitrary,
- // and we just use the first one.
- //
- // The possibilities are: 29, 43, 45, 77, 95, 99, 101, 105,
- //* 113, 135, 141, 169, 195, 207, 231, and 245.
- generatingPolynomial = 29
- )
- func main() {
- t := generateExpTable()
- fmt.Printf("var expTable = %#v\n", t)
- //t2 := generateMulTableSplit(t)
- //fmt.Printf("var mulTable = %#v\n", t2)
- low, high := generateMulTableHalf(t)
- fmt.Printf("var mulTableLow = %#v\n", low)
- fmt.Printf("var mulTableHigh = %#v\n", high)
- }
- /**
- * Generates the inverse log table.
- */
- func generateExpTable() []byte {
- result := make([]byte, fieldSize*2-2)
- for i := 1; i < fieldSize; i++ {
- log := logTable[i]
- result[log] = byte(i)
- result[log+fieldSize-1] = byte(i)
- }
- return result
- }
- func generateMulTable(expTable []byte) []byte {
- result := make([]byte, 256*256)
- for v := range result {
- a := byte(v & 0xff)
- b := byte(v >> 8)
- if a == 0 || b == 0 {
- result[v] = 0
- continue
- }
- logA := int(logTable[a])
- logB := int(logTable[b])
- result[v] = expTable[logA+logB]
- }
- return result
- }
- func generateMulTableSplit(expTable []byte) [256][256]byte {
- var result [256][256]byte
- for a := range result {
- for b := range result[a] {
- if a == 0 || b == 0 {
- result[a][b] = 0
- continue
- }
- logA := int(logTable[a])
- logB := int(logTable[b])
- result[a][b] = expTable[logA+logB]
- }
- }
- return result
- }
- func generateMulTableHalf(expTable []byte) (low [256][16]byte, high [256][16]byte) {
- for a := range low {
- for b := range low {
- result := 0
- if !(a == 0 || b == 0) {
- logA := int(logTable[a])
- logB := int(logTable[b])
- result = int(expTable[logA+logB])
- }
- if (b & 0xf) == b {
- low[a][b] = byte(result)
- }
- if (b & 0xf0) == b {
- high[a][b>>4] = byte(result)
- }
- }
- }
- return
- }
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