Information on Result #621477

Linear OA(8137, 410, F81, 21) (dual of [410, 373, 22]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {81,118,155,…,1}, and designed minimum distance d ≥ |I|+1 = 22

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.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(8136, 409, F81, 20) (dual of [409, 373, 21]-code) [i]Truncation
2Linear OOA(8137, 401, F81, 2, 21) (dual of [(401, 2), 765, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(8137, 401, F81, 3, 21) (dual of [(401, 3), 1166, 22]-NRT-code) [i]
4Linear OOA(8137, 401, F81, 4, 21) (dual of [(401, 4), 1567, 22]-NRT-code) [i]
5Digital (16, 37, 401)-net over F81 [i]
6Linear OA(8138, 452, F81, 21) (dual of [452, 414, 22]-code) [i]VarÅ¡amov–Edel Lengthening
7Linear OOA(8137, 205, F81, 2, 21) (dual of [(205, 2), 373, 22]-NRT-code) [i]OOA Folding