Information on Result #688748

Linear OA(833, 64, F8, 21) (dual of [64, 31, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(835, 66, F8, 22) (dual of [66, 31, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(833, 66, F8, 21) (dual of [66, 33, 22]-code) [i]✔
3Linear OA(845, 76, F8, 27) (dual of [76, 31, 28]-code) [i]✔
4Linear OA(843, 73, F8, 26) (dual of [73, 30, 27]-code) [i]✔
5Linear OA(842, 73, F8, 25) (dual of [73, 31, 26]-code) [i]✔
6Linear OA(847, 78, F8, 28) (dual of [78, 31, 29]-code) [i]✔
7Linear OA(839, 77, F8, 21) (dual of [77, 38, 22]-code) [i]✔
8Linear OA(851, 81, F8, 29) (dual of [81, 30, 30]-code) [i]✔
9Linear OA(852, 83, F8, 29) (dual of [83, 31, 30]-code) [i]✔
10Linear OA(841, 81, F8, 21) (dual of [81, 40, 22]-code) [i]✔
11Linear OA(855, 86, F8, 30) (dual of [86, 31, 31]-code) [i]✔
12Linear OA(859, 90, F8, 31) (dual of [90, 31, 32]-code) [i]✔
13Linear OA(860, 92, F8, 31) (dual of [92, 32, 32]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
14Linear OA(844, 74, F8, 27) (dual of [74, 30, 28]-code) [i]✔
15Linear OA(843, 75, F8, 25) (dual of [75, 32, 26]-code) [i]✔
16Linear OA(838, 75, F8, 21) (dual of [75, 37, 22]-code) [i]✔
17Linear OA(840, 79, F8, 21) (dual of [79, 39, 22]-code) [i]✔