Information on Result #688751

Linear OA(829, 64, F8, 19) (dual of [64, 35, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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(831, 66, F8, 20) (dual of [66, 35, 21]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(832, 70, F8, 19) (dual of [70, 38, 20]-code) [i]✔
3Linear OA(837, 72, F8, 22) (dual of [72, 35, 23]-code) [i]✔
4Linear OA(833, 73, F8, 19) (dual of [73, 40, 20]-code) [i]✔
5Linear OA(835, 77, F8, 19) (dual of [77, 42, 20]-code) [i]✔
6Linear OA(849, 84, F8, 27) (dual of [84, 35, 28]-code) [i]✔
7Linear OA(847, 81, F8, 26) (dual of [81, 34, 27]-code) [i]✔
8Linear OA(846, 81, F8, 25) (dual of [81, 35, 26]-code) [i]✔
9Linear OA(844, 78, F8, 24) (dual of [78, 34, 25]-code) [i]✔
10Linear OA(837, 81, F8, 19) (dual of [81, 44, 20]-code) [i]✔
11Linear OA(851, 86, F8, 28) (dual of [86, 35, 29]-code) [i]✔
12Linear OA(854, 88, F8, 29) (dual of [88, 34, 30]-code) [i]✔
13Linear OA(855, 90, F8, 29) (dual of [90, 35, 30]-code) [i]✔
14Linear OA(848, 83, F8, 27) (dual of [83, 35, 28]-code) [i]✔
15Linear OA(845, 80, F8, 25) (dual of [80, 35, 26]-code) [i]✔
16Linear OA(850, 84, F8, 28) (dual of [84, 34, 29]-code) [i]✔
17Linear OA(858, 92, F8, 30) (dual of [92, 34, 31]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
18Linear OA(856, 92, F8, 29) (dual of [92, 36, 30]-code) [i]✔
19Linear OA(848, 82, F8, 27) (dual of [82, 34, 28]-code) [i]✔
20Linear OA(845, 79, F8, 25) (dual of [79, 34, 26]-code) [i]✔
21Linear OA(847, 83, F8, 25) (dual of [83, 36, 26]-code) [i]✔
22Linear OA(836, 79, F8, 19) (dual of [79, 43, 20]-code) [i]✔
23Linear OA(846, 80, F8, 26) (dual of [80, 34, 27]-code) [i]✔
24Linear OA(848, 84, F8, 26) (dual of [84, 36, 27]-code) [i]✔
25Linear OOA(829, 32, F8, 2, 19) (dual of [(32, 2), 35, 20]-NRT-code) [i]OOA Folding