Information on Result #1745960
Digital (24, 44, 1137)-net over F81, using net defined by OOA based on linear OOA(8144, 1137, F81, 28, 20) (dual of [(1137, 28), 31792, 21]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8144, 3412, F81, 4, 20) (dual of [(3412, 4), 13604, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8144, 3413, F81, 4, 20) (dual of [(3413, 4), 13608, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8144, 3413, F81, 20) (dual of [3413, 3369, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8144, 6578, F81, 20) (dual of [6578, 6534, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(815, 17, F81, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,81)), using
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
- Reed–Solomon code RS(76,81) [i]
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(8144, 6578, F81, 20) (dual of [6578, 6534, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8144, 3413, F81, 20) (dual of [3413, 3369, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(8144, 3413, F81, 4, 20) (dual of [(3413, 4), 13608, 21]-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.