Information on Result #605166

Linear OA(86, 7, F8, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,8)), using dual of repetition code with length 7

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(846, 49, F8, 41) (dual of [49, 3, 42]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(843, 49, F8, 34) (dual of [49, 6, 35]-code) [i]
3Linear OA(8173, 32796, F8, 34) (dual of [32796, 32623, 35]-code) [i]
4Linear OA(8136, 32789, F8, 27) (dual of [32789, 32653, 28]-code) [i]
5Linear OA(8131, 32789, F8, 26) (dual of [32789, 32658, 27]-code) [i]
6Linear OA(8126, 32789, F8, 25) (dual of [32789, 32663, 26]-code) [i]
7Linear OA(8168, 2097173, F8, 25) (dual of [2097173, 2097005, 26]-code) [i]
8Linear OA(899, 32782, F8, 20) (dual of [32782, 32683, 21]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(8133, 2097166, F8, 20) (dual of [2097166, 2097033, 21]-code) [i]
10Linear OA(889, 32782, F8, 18) (dual of [32782, 32693, 19]-code) [i]
11Linear OA(8119, 2097166, F8, 18) (dual of [2097166, 2097047, 19]-code) [i]
12Linear OA(867, 72, F8, 55) (dual of [72, 5, 56]-code) [i]Construction X with Cyclic Codes
13Linear OA(8145, 154, F8, 69) (dual of [154, 9, 70]-code) [i]
14Linear OA(8146, 154, F8, 76) (dual of [154, 8, 77]-code) [i]
15Linear OA(8148, 154, F8, 90) (dual of [154, 6, 91]-code) [i]
16Linear OA(8149, 154, F8, 97) (dual of [154, 5, 98]-code) [i]
17Linear OA(817, 32775, F8, 4) (dual of [32775, 32758, 5]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
18Linear OA(8110, 121, F8, 81) (dual of [121, 11, 82]-code) [i]Construction X with VarÅ¡amov Bound
19Linear OA(8111, 122, F8, 82) (dual of [122, 11, 83]-code) [i]
20Linear OA(8112, 123, F8, 83) (dual of [123, 11, 84]-code) [i]
21Linear OA(8113, 124, F8, 84) (dual of [124, 11, 85]-code) [i]
22Linear OA(8123, 133, F8, 92) (dual of [133, 10, 93]-code) [i]
23Linear OA(8124, 134, F8, 93) (dual of [134, 10, 94]-code) [i]
24Linear OA(8125, 134, F8, 95) (dual of [134, 9, 96]-code) [i]
25Linear OA(8126, 136, F8, 95) (dual of [136, 10, 96]-code) [i]