Information on Result #1742096
Digital (54, 81, 3071)-net over F32, using net defined by OOA based on linear OOA(3281, 3071, F32, 30, 27) (dual of [(3071, 30), 92049, 28]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(3281, 21498, F32, 2, 27) (dual of [(21498, 2), 42915, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3281, 21503, F32, 2, 27) (dual of [(21503, 2), 42925, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3281, 21503, F32, 27) (dual of [21503, 21422, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(3281, 32779, F32, 27) (dual of [32779, 32698, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(23) [i] based on
- linear OA(3279, 32768, F32, 27) (dual of [32768, 32689, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(3270, 32768, F32, 24) (dual of [32768, 32698, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(322, 11, F32, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- construction X applied to Ce(26) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(3281, 32779, F32, 27) (dual of [32779, 32698, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3281, 21503, F32, 27) (dual of [21503, 21422, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(3281, 21503, F32, 2, 27) (dual of [(21503, 2), 42925, 28]-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.