Information on Result #714611

Linear OA(840, 63, F8, 28) (dual of [63, 23, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(8103, 126, F8, 57) (dual of [126, 23, 58]-code) [i]Repeating Each Code Word
2Linear OA(8102, 124, F8, 57) (dual of [124, 22, 58]-code) [i]
3Linear OA(8101, 122, F8, 57) (dual of [122, 21, 58]-code) [i]
4Linear OA(8100, 120, F8, 57) (dual of [120, 20, 58]-code) [i]
5Linear OA(899, 118, F8, 57) (dual of [118, 19, 58]-code) [i]
6Linear OA(898, 116, F8, 57) (dual of [116, 18, 58]-code) [i]
7Linear OA(897, 114, F8, 57) (dual of [114, 17, 58]-code) [i]
8Linear OA(896, 112, F8, 57) (dual of [112, 16, 58]-code) [i]
9Linear OA(895, 110, F8, 57) (dual of [110, 15, 58]-code) [i]
10Linear OA(894, 108, F8, 57) (dual of [108, 14, 58]-code) [i]
11Linear OA(893, 106, F8, 57) (dual of [106, 13, 58]-code) [i]
12Linear OA(892, 104, F8, 57) (dual of [104, 12, 58]-code) [i]
13Linear OA(891, 102, F8, 57) (dual of [102, 11, 58]-code) [i]
14Linear OA(890, 100, F8, 57) (dual of [100, 10, 58]-code) [i]
15Linear OA(2180, 240, F2, 57) (dual of [240, 60, 58]-code) [i]Concatenation of Two Codes
16Linear OA(2179, 236, F2, 57) (dual of [236, 57, 58]-code) [i]
17Linear OA(2178, 232, F2, 57) (dual of [232, 54, 58]-code) [i]
18Linear OA(2177, 228, F2, 57) (dual of [228, 51, 58]-code) [i]
19Linear OA(2176, 224, F2, 57) (dual of [224, 48, 58]-code) [i]
20Linear OA(2175, 220, F2, 57) (dual of [220, 45, 58]-code) [i]
21Linear OA(2174, 216, F2, 57) (dual of [216, 42, 58]-code) [i]
22Linear OA(2173, 212, F2, 57) (dual of [212, 39, 58]-code) [i]
23Linear OA(2172, 208, F2, 57) (dual of [208, 36, 58]-code) [i]
24Linear OA(2171, 204, F2, 57) (dual of [204, 33, 58]-code) [i]
25Linear OA(854, 91, F8, 28) (dual of [91, 37, 29]-code) [i]✔Construction XX with Cyclic Codes
26Linear OA(851, 82, F8, 29) (dual of [82, 31, 30]-code) [i]✔
27Linear OA(849, 79, F8, 29) (dual of [79, 30, 30]-code) [i]✔
28Linear OA(847, 74, F8, 29) (dual of [74, 27, 30]-code) [i]✔
29Linear OA(852, 82, F8, 30) (dual of [82, 30, 31]-code) [i]✔
30Linear OA(846, 72, F8, 29) (dual of [72, 26, 30]-code) [i]✔
31Linear OA(850, 77, F8, 30) (dual of [77, 27, 31]-code) [i]✔
32Linear OA(849, 75, F8, 30) (dual of [75, 26, 31]-code) [i]✔
33Linear OA(853, 80, F8, 31) (dual of [80, 27, 32]-code) [i]✔
34Linear OA(862, 88, F8, 36) (dual of [88, 26, 37]-code) [i]✔
35Linear OA(869, 96, F8, 38) (dual of [96, 27, 39]-code) [i]✔
36Linear OA(868, 94, F8, 38) (dual of [94, 26, 39]-code) [i]✔
37Linear OA(844, 67, F8, 30) (dual of [67, 23, 31]-code) [i]✔
38Linear OA(847, 70, F8, 31) (dual of [70, 23, 32]-code) [i]✔
39Linear OA(862, 85, F8, 38) (dual of [85, 23, 39]-code) [i]✔
40Linear OA(865, 88, F8, 39) (dual of [88, 23, 40]-code) [i]✔
41Linear OA(868, 91, F8, 40) (dual of [91, 23, 41]-code) [i]✔
42Linear OA(870, 91, F8, 44) (dual of [91, 21, 45]-code) [i]✔
43Linear OA(865, 86, F8, 40) (dual of [86, 21, 41]-code) [i]✔
44Linear OA(873, 94, F8, 45) (dual of [94, 21, 46]-code) [i]✔
45Linear OA(872, 91, F8, 45) (dual of [91, 19, 46]-code) [i]✔