Information on Result #714583

Linear OA(839, 63, F8, 27) (dual of [63, 24, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28

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(8102, 126, F8, 55) (dual of [126, 24, 56]-code) [i]Repeating Each Code Word
2Linear OA(8101, 124, F8, 55) (dual of [124, 23, 56]-code) [i]
3Linear OA(8100, 122, F8, 55) (dual of [122, 22, 56]-code) [i]
4Linear OA(899, 120, F8, 55) (dual of [120, 21, 56]-code) [i]
5Linear OA(898, 118, F8, 55) (dual of [118, 20, 56]-code) [i]
6Linear OA(897, 116, F8, 55) (dual of [116, 19, 56]-code) [i]
7Linear OA(896, 114, F8, 55) (dual of [114, 18, 56]-code) [i]
8Linear OA(895, 112, F8, 55) (dual of [112, 17, 56]-code) [i]
9Linear OA(894, 110, F8, 55) (dual of [110, 16, 56]-code) [i]
10Linear OA(893, 108, F8, 55) (dual of [108, 15, 56]-code) [i]
11Linear OA(892, 106, F8, 55) (dual of [106, 14, 56]-code) [i]
12Linear OA(891, 104, F8, 55) (dual of [104, 13, 56]-code) [i]
13Linear OA(890, 102, F8, 55) (dual of [102, 12, 56]-code) [i]
14Linear OA(889, 100, F8, 55) (dual of [100, 11, 56]-code) [i]
15Linear OA(2176, 236, F2, 55) (dual of [236, 60, 56]-code) [i]Concatenation of Two Codes
16Linear OA(2175, 232, F2, 55) (dual of [232, 57, 56]-code) [i]
17Linear OA(2174, 228, F2, 55) (dual of [228, 54, 56]-code) [i]
18Linear OA(2173, 224, F2, 55) (dual of [224, 51, 56]-code) [i]
19Linear OA(2172, 220, F2, 55) (dual of [220, 48, 56]-code) [i]
20Linear OA(2171, 216, F2, 55) (dual of [216, 45, 56]-code) [i]
21Linear OA(2170, 212, F2, 55) (dual of [212, 42, 56]-code) [i]
22Linear OA(2169, 208, F2, 55) (dual of [208, 39, 56]-code) [i]
23Linear OA(2168, 204, F2, 55) (dual of [204, 36, 56]-code) [i]
24Linear OA(853, 91, F8, 27) (dual of [91, 38, 28]-code) [i]✔Construction XX with Cyclic Codes
25Linear OA(852, 84, F8, 29) (dual of [84, 32, 30]-code) [i]✔
26Linear OA(850, 81, F8, 29) (dual of [81, 31, 30]-code) [i]✔
27Linear OA(848, 76, F8, 29) (dual of [76, 28, 30]-code) [i]✔
28Linear OA(853, 84, F8, 30) (dual of [84, 31, 31]-code) [i]✔
29Linear OA(865, 97, F8, 35) (dual of [97, 32, 36]-code) [i]✔
30Linear OA(862, 94, F8, 33) (dual of [94, 32, 34]-code) [i]✔
31Linear OA(863, 94, F8, 34) (dual of [94, 31, 35]-code) [i]✔
32Linear OA(860, 91, F8, 32) (dual of [91, 31, 33]-code) [i]✔
33Linear OA(864, 94, F8, 35) (dual of [94, 30, 36]-code) [i]✔
34Linear OA(861, 91, F8, 33) (dual of [91, 30, 34]-code) [i]✔
35Linear OA(863, 93, F8, 35) (dual of [93, 30, 36]-code) [i]✔
36Linear OA(860, 90, F8, 33) (dual of [90, 30, 34]-code) [i]✔
37Linear OA(861, 90, F8, 34) (dual of [90, 29, 35]-code) [i]✔
38Linear OA(862, 90, F8, 35) (dual of [90, 28, 36]-code) [i]✔
39Linear OA(866, 96, F8, 36) (dual of [96, 30, 37]-code) [i]✔
40Linear OA(861, 89, F8, 35) (dual of [89, 28, 36]-code) [i]✔
41Linear OA(858, 86, F8, 33) (dual of [86, 28, 34]-code) [i]✔
42Linear OA(859, 86, F8, 34) (dual of [86, 27, 35]-code) [i]✔
43Linear OA(860, 86, F8, 35) (dual of [86, 26, 36]-code) [i]✔
44Linear OA(868, 97, F8, 37) (dual of [97, 29, 38]-code) [i]✔
45Linear OA(864, 92, F8, 36) (dual of [92, 28, 37]-code) [i]✔
46Linear OA(857, 83, F8, 33) (dual of [83, 26, 34]-code) [i]✔
47Linear OA(867, 95, F8, 37) (dual of [95, 28, 38]-code) [i]✔
48Linear OA(866, 90, F8, 39) (dual of [90, 24, 40]-code) [i]✔
49Linear OA(869, 93, F8, 40) (dual of [93, 24, 41]-code) [i]✔