Information on Result #1748540
Digital (22, 42, 9882)-net over F256, using net defined by OOA based on linear OOA(25642, 9882, F256, 25, 20) (dual of [(9882, 25), 247008, 21]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(25642, 19765, F256, 5, 20) (dual of [(19765, 5), 98783, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25642, 19766, F256, 5, 20) (dual of [(19766, 5), 98788, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25642, 19766, F256, 3, 20) (dual of [(19766, 3), 59256, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25642, 21849, F256, 3, 20) (dual of [(21849, 3), 65505, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25642, 65547, F256, 20) (dual of [65547, 65505, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2563, 11, F256, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,256) or 11-cap in PG(2,256)), using
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- Reed–Solomon code RS(253,256) [i]
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- OOA 3-folding [i] based on linear OA(25642, 65547, F256, 20) (dual of [65547, 65505, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(25642, 21849, F256, 3, 20) (dual of [(21849, 3), 65505, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25642, 19766, F256, 3, 20) (dual of [(19766, 3), 59256, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25642, 19766, F256, 5, 20) (dual of [(19766, 5), 98788, 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.