Information on Result #615090

Linear OA(844, 64, F8, 30) (dual of [64, 20, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30

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(8108, 128, F8, 61) (dual of [128, 20, 62]-code) [i]Repeating Each Code Word
2Linear OA(844, 66, F8, 30) (dual of [66, 22, 31]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(853, 73, F8, 36) (dual of [73, 20, 37]-code) [i]✔
4Linear OA(845, 69, F8, 30) (dual of [69, 24, 31]-code) [i]✔
5Linear OA(856, 76, F8, 37) (dual of [76, 20, 38]-code) [i]✔
6Linear OA(846, 71, F8, 30) (dual of [71, 25, 31]-code) [i]✔
7Linear OA(854, 83, F8, 30) (dual of [83, 29, 31]-code) [i]✔
8Linear OA(872, 91, F8, 44) (dual of [91, 19, 45]-code) [i]✔
9Linear OA(874, 94, F8, 44) (dual of [94, 20, 45]-code) [i]✔
10Linear OA(855, 86, F8, 30) (dual of [86, 31, 31]-code) [i]✔
11Linear OA(856, 88, F8, 30) (dual of [88, 32, 31]-code) [i]✔
12Linear OA(857, 90, F8, 30) (dual of [90, 33, 31]-code) [i]✔
13Linear OA(877, 96, F8, 46) (dual of [96, 19, 47]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
14Linear OA(877, 97, F8, 46) (dual of [97, 20, 47]-code) [i]✔
15Linear OA(876, 95, F8, 46) (dual of [95, 19, 47]-code) [i]✔
16Linear OA(875, 95, F8, 45) (dual of [95, 20, 46]-code) [i]✔
17Linear OA(874, 93, F8, 45) (dual of [93, 19, 46]-code) [i]✔
18Linear OA(873, 92, F8, 45) (dual of [92, 19, 46]-code) [i]✔
19Linear OA(875, 96, F8, 44) (dual of [96, 21, 45]-code) [i]✔
20Linear OA(853, 74, F8, 35) (dual of [74, 21, 36]-code) [i]✔
21Linear OA(858, 92, F8, 30) (dual of [92, 34, 31]-code) [i]✔