Information on Result #628340

Linear OA(816, 130, F8, 8) (dual of [130, 114, 9]-code), using trace code based on linear OA(648, 65, F64, 8) (dual of [65, 57, 9]-code or 65-arc in PG(7,64)), using

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(817, 131, F8, 8) (dual of [131, 114, 9]-code) [i]Code Embedding in Larger Space
2Linear OA(8171, 2097224, F8, 26) (dual of [2097224, 2097053, 27]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(8164, 2097224, F8, 24) (dual of [2097224, 2097060, 25]-code) [i]
4Linear OA(8157, 2097224, F8, 23) (dual of [2097224, 2097067, 24]-code) [i]
5Linear OA(8150, 2097224, F8, 22) (dual of [2097224, 2097074, 23]-code) [i]
6Linear OA(8143, 2097224, F8, 21) (dual of [2097224, 2097081, 22]-code) [i]
7Linear OA(8136, 2097224, F8, 20) (dual of [2097224, 2097088, 21]-code) [i]
8Linear OOA(816, 65, F8, 2, 8) (dual of [(65, 2), 114, 9]-NRT-code) [i]OOA Folding