Information on Result #1495752
Linear OOA(8161, 3296, F81, 3, 26) (dual of [(3296, 3), 9827, 27]-NRT-code), using OOA 2-folding based on linear OOA(8161, 6592, F81, 2, 26) (dual of [(6592, 2), 13123, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8161, 6593, F81, 2, 26) (dual of [(6593, 2), 13125, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8161, 6593, F81, 26) (dual of [6593, 6532, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(14) [i] based on
- linear OA(8151, 6561, F81, 26) (dual of [6561, 6510, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8129, 6561, F81, 15) (dual of [6561, 6532, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(8110, 32, F81, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,81)), using
- discarding factors / shortening the dual code based on linear OA(8110, 81, F81, 10) (dual of [81, 71, 11]-code or 81-arc in PG(9,81)), using
- Reed–Solomon code RS(71,81) [i]
- discarding factors / shortening the dual code based on linear OA(8110, 81, F81, 10) (dual of [81, 71, 11]-code or 81-arc in PG(9,81)), using
- construction X applied to Ce(25) ⊂ Ce(14) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8161, 6593, F81, 26) (dual of [6593, 6532, 27]-code), using
Mode: 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
None.
Depending Results
None.