Information on Result #714737

Linear OA(849, 63, F8, 37) (dual of [63, 14, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38

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(8112, 126, F8, 75) (dual of [126, 14, 76]-code) [i]Repeating Each Code Word
2Linear OA(8111, 124, F8, 75) (dual of [124, 13, 76]-code) [i]
3Linear OA(8173, 186, F8, 113) (dual of [186, 13, 114]-code) [i]
4Linear OA(8110, 122, F8, 75) (dual of [122, 12, 76]-code) [i]
5Linear OA(8171, 183, F8, 113) (dual of [183, 12, 114]-code) [i]
6Linear OA(8109, 120, F8, 75) (dual of [120, 11, 76]-code) [i]
7Linear OA(8169, 180, F8, 113) (dual of [180, 11, 114]-code) [i]
8Linear OA(8108, 118, F8, 75) (dual of [118, 10, 76]-code) [i]
9Linear OA(8167, 177, F8, 113) (dual of [177, 10, 114]-code) [i]
10Linear OA(868, 97, F8, 37) (dual of [97, 29, 38]-code) [i]✔Construction XX with Cyclic Codes
11Linear OA(867, 95, F8, 37) (dual of [95, 28, 38]-code) [i]✔
12Linear OA(871, 90, F8, 45) (dual of [90, 19, 46]-code) [i]✔
13Linear OA(876, 97, F8, 46) (dual of [97, 21, 47]-code) [i]✔
14Linear OA(875, 94, F8, 46) (dual of [94, 19, 47]-code) [i]✔
15Linear OA(869, 86, F8, 45) (dual of [86, 17, 46]-code) [i]✔
16Linear OA(874, 93, F8, 46) (dual of [93, 19, 47]-code) [i]✔
17Linear OA(878, 97, F8, 47) (dual of [97, 19, 48]-code) [i]✔
18Linear OA(868, 82, F8, 47) (dual of [82, 14, 48]-code) [i]✔
19Linear OA(872, 84, F8, 51) (dual of [84, 12, 52]-code) [i]✔
20Linear OA(869, 81, F8, 49) (dual of [81, 12, 50]-code) [i]✔
21Linear OA(871, 82, F8, 51) (dual of [82, 11, 52]-code) [i]✔