Information on Result #1746264
Digital (29, 53, 1219)-net over F81, using net defined by OOA based on linear OOA(8153, 1219, F81, 28, 24) (dual of [(1219, 28), 34079, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8153, 3658, F81, 4, 24) (dual of [(3658, 4), 14579, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8153, 3660, F81, 4, 24) (dual of [(3660, 4), 14587, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8153, 3660, F81, 24) (dual of [3660, 3607, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(8153, 6581, F81, 24) (dual of [6581, 6528, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(16) [i] based on
- linear OA(8147, 6561, F81, 24) (dual of [6561, 6514, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(8133, 6561, F81, 17) (dual of [6561, 6528, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(816, 20, F81, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,81)), using
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- Reed–Solomon code RS(75,81) [i]
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- construction X applied to Ce(23) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(8153, 6581, F81, 24) (dual of [6581, 6528, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8153, 3660, F81, 24) (dual of [3660, 3607, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(8153, 3660, F81, 4, 24) (dual of [(3660, 4), 14587, 25]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.