Information on Result #714812

Linear OA(855, 63, F8, 45) (dual of [63, 8, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46

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(8118, 126, F8, 91) (dual of [126, 8, 92]-code) [i]Repeating Each Code Word
2Linear OA(8117, 124, F8, 91) (dual of [124, 7, 92]-code) [i]
3Linear OA(8116, 122, F8, 91) (dual of [122, 6, 92]-code) [i]
4Linear OA(8128, 135, F8, 100) (dual of [135, 7, 101]-code) [i]Juxtaposition
5Linear OA(8128, 136, F8, 98) (dual of [136, 8, 99]-code) [i]
6Linear OA(8172, 179, F8, 136) (dual of [179, 7, 137]-code) [i]
7Linear OA(8172, 178, F8, 141) (dual of [178, 6, 142]-code) [i]
8Linear OA(873, 93, F8, 45) (dual of [93, 20, 46]-code) [i]✔Construction XX with Cyclic Codes
9Linear OA(871, 90, F8, 45) (dual of [90, 19, 46]-code) [i]✔
10Linear OA(869, 86, F8, 45) (dual of [86, 17, 46]-code) [i]✔
11Linear OA(867, 80, F8, 47) (dual of [80, 13, 48]-code) [i]✔
12Linear OA(878, 91, F8, 54) (dual of [91, 13, 55]-code) [i]✔
13Linear OA(883, 97, F8, 55) (dual of [97, 14, 56]-code) [i]✔
14Linear OA(872, 84, F8, 51) (dual of [84, 12, 52]-code) [i]✔
15Linear OA(869, 81, F8, 49) (dual of [81, 12, 50]-code) [i]✔
16Linear OA(871, 82, F8, 51) (dual of [82, 11, 52]-code) [i]✔
17Linear OA(885, 100, F8, 55) (dual of [100, 15, 56]-code) [i]✔
18Linear OA(881, 94, F8, 55) (dual of [94, 13, 56]-code) [i]✔
19Linear OA(870, 80, F8, 51) (dual of [80, 10, 52]-code) [i]✔
20Linear OA(888, 101, F8, 58) (dual of [101, 13, 59]-code) [i]✔