Information on Result #736246

Linear OA(815, 20, F8, 13) (dual of [20, 5, 14]-code), using generator matrices provided on Edel’s homepage

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(814, 19, F8, 12) (dual of [19, 5, 13]-code) [i]Truncation
2Linear OA(813, 18, F8, 11) (dual of [18, 5, 12]-code) [i]
3Linear OA(885, 530, F8, 27) (dual of [530, 445, 28]-code) [i](u, u+v)-Construction
4Linear OA(8131, 32786, F8, 27) (dual of [32786, 32655, 28]-code) [i]
5Linear OA(8154, 262162, F8, 27) (dual of [262162, 262008, 28]-code) [i]
6Linear OA(882, 530, F8, 26) (dual of [530, 448, 27]-code) [i]
7Linear OA(8126, 32786, F8, 26) (dual of [32786, 32660, 27]-code) [i]
8Linear OA(8148, 262162, F8, 26) (dual of [262162, 262014, 27]-code) [i]
9Linear OA(8170, 2097170, F8, 26) (dual of [2097170, 2097000, 27]-code) [i]
10Linear OA(887, 92, F8, 71) (dual of [92, 5, 72]-code) [i]Juxtaposition
11Linear OA(8141, 146, F8, 117) (dual of [146, 5, 118]-code) [i]
12Linear OA(890, 94, F8, 77) (dual of [94, 4, 78]-code) [i]
13Linear OA(8131, 136, F8, 109) (dual of [136, 5, 110]-code) [i]
14Linear OA(8135, 140, F8, 113) (dual of [140, 5, 114]-code) [i]
15Linear OA(8145, 150, F8, 121) (dual of [150, 5, 122]-code) [i]
16Linear OOA(2105, 60, F2, 2, 55) (dual of [(60, 2), 15, 56]-NRT-code) [i]Concatenation of Two NRT-Codes
17Linear OOA(2102, 57, F2, 2, 55) (dual of [(57, 2), 12, 56]-NRT-code) [i]
18Linear OOA(299, 54, F2, 2, 55) (dual of [(54, 2), 9, 56]-NRT-code) [i]
19Linear OOA(2185, 100, F2, 2, 97) (dual of [(100, 2), 15, 98]-NRT-code) [i]
20Linear OOA(2165, 60, F2, 3, 97) (dual of [(60, 3), 15, 98]-NRT-code) [i]
21Linear OOA(2159, 57, F2, 3, 97) (dual of [(57, 3), 12, 98]-NRT-code) [i]
22Linear OOA(2153, 54, F2, 3, 97) (dual of [(54, 3), 9, 98]-NRT-code) [i]