Information on Result #714781

Linear OA(838, 63, F8, 26) (dual of [63, 25, 27]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {10,11,…,35}, and designed minimum distance d ≥ |I|+1 = 27

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(838, 63, F8, 25) (dual of [63, 25, 26]-code) [i]Strength Reduction
2Linear OA(8101, 126, F8, 53) (dual of [126, 25, 54]-code) [i]Repeating Each Code Word
3Linear OA(8100, 124, F8, 53) (dual of [124, 24, 54]-code) [i]
4Linear OA(899, 122, F8, 53) (dual of [122, 23, 54]-code) [i]
5Linear OA(898, 120, F8, 53) (dual of [120, 22, 54]-code) [i]
6Linear OA(897, 118, F8, 53) (dual of [118, 21, 54]-code) [i]
7Linear OA(896, 116, F8, 53) (dual of [116, 20, 54]-code) [i]
8Linear OA(895, 114, F8, 53) (dual of [114, 19, 54]-code) [i]
9Linear OA(894, 112, F8, 53) (dual of [112, 18, 54]-code) [i]
10Linear OA(893, 110, F8, 53) (dual of [110, 17, 54]-code) [i]
11Linear OA(892, 108, F8, 53) (dual of [108, 16, 54]-code) [i]
12Linear OA(891, 106, F8, 53) (dual of [106, 15, 54]-code) [i]
13Linear OA(890, 104, F8, 53) (dual of [104, 14, 54]-code) [i]
14Linear OA(889, 102, F8, 53) (dual of [102, 13, 54]-code) [i]
15Linear OA(888, 100, F8, 53) (dual of [100, 12, 54]-code) [i]
16Linear OA(2168, 216, F2, 53) (dual of [216, 48, 54]-code) [i]Concatenation of Two Codes
17Linear OA(2167, 212, F2, 53) (dual of [212, 45, 54]-code) [i]
18Linear OA(2166, 208, F2, 53) (dual of [208, 42, 54]-code) [i]
19Linear OA(848, 92, F8, 26) (dual of [92, 44, 27]-code) [i]VarÅ¡amov–Edel Lengthening
20Linear OA(873, 97, F8, 42) (dual of [97, 24, 43]-code) [i]Construction XX with Cyclic Codes
21Linear OA(874, 97, F8, 44) (dual of [97, 23, 45]-code) [i]
22Linear OA(871, 94, F8, 42) (dual of [94, 23, 43]-code) [i]
23Linear OA(872, 94, F8, 43) (dual of [94, 22, 44]-code) [i]
24Linear OA(873, 94, F8, 44) (dual of [94, 21, 45]-code) [i]
25Linear OA(870, 91, F8, 42) (dual of [91, 21, 43]-code) [i]
26Linear OA(877, 100, F8, 45) (dual of [100, 23, 46]-code) [i]
27Linear OA(876, 97, F8, 45) (dual of [97, 21, 46]-code) [i]
28Linear OOA(838, 31, F8, 2, 26) (dual of [(31, 2), 24, 27]-NRT-code) [i]OOA Folding