Information on Result #736701

Linear OA(8116, 126, F8, 90) (dual of [126, 10, 91]-code), using a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva

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(8116, 126, F8, 89) (dual of [126, 10, 90]-code) [i]Strength Reduction
2Linear OA(8116, 126, F8, 88) (dual of [126, 10, 89]-code) [i]
3Linear OA(8116, 126, F8, 87) (dual of [126, 10, 88]-code) [i]
4Linear OA(8116, 126, F8, 86) (dual of [126, 10, 87]-code) [i]
5Linear OA(8116, 126, F8, 85) (dual of [126, 10, 86]-code) [i]
6Linear OA(8117, 127, F8, 90) (dual of [127, 10, 91]-code) [i]Code Embedding in Larger Space
7Linear OA(8118, 128, F8, 90) (dual of [128, 10, 91]-code) [i]
8Linear OA(8119, 129, F8, 90) (dual of [129, 10, 91]-code) [i]
9Linear OA(8120, 130, F8, 90) (dual of [130, 10, 91]-code) [i]
10Linear OA(8121, 131, F8, 90) (dual of [131, 10, 91]-code) [i]
11Linear OA(8115, 125, F8, 89) (dual of [125, 10, 90]-code) [i]Truncation
12Linear OA(8114, 124, F8, 88) (dual of [124, 10, 89]-code) [i]
13Linear OA(8113, 123, F8, 87) (dual of [123, 10, 88]-code) [i]
14Linear OA(8112, 122, F8, 86) (dual of [122, 10, 87]-code) [i]
15Linear OA(8111, 121, F8, 85) (dual of [121, 10, 86]-code) [i]
16Linear OA(8110, 120, F8, 84) (dual of [120, 10, 85]-code) [i]
17Linear OA(8109, 119, F8, 83) (dual of [119, 10, 84]-code) [i]
18Linear OA(8108, 118, F8, 82) (dual of [118, 10, 83]-code) [i]
19Linear OA(8123, 135, F8, 90) (dual of [135, 12, 91]-code) [i]Construction X with VarÅ¡amov Bound
20Linear OOA(8116, 63, F8, 2, 90) (dual of [(63, 2), 10, 91]-NRT-code) [i]OOA Folding
21Linear OOA(8116, 42, F8, 3, 90) (dual of [(42, 3), 10, 91]-NRT-code) [i]