Information on Result #1747340
Digital (24, 43, 3024)-net over F128, using net defined by OOA based on linear OOA(12843, 3024, F128, 21, 19) (dual of [(3024, 21), 63461, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12843, 9073, F128, 3, 19) (dual of [(9073, 3), 27176, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12843, 9075, F128, 3, 19) (dual of [(9075, 3), 27182, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12843, 9075, F128, 19) (dual of [9075, 9032, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(12843, 16404, F128, 19) (dual of [16404, 16361, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(11) [i] based on
- linear OA(12837, 16384, F128, 19) (dual of [16384, 16347, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1286, 20, F128, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,128)), using
- discarding factors / shortening the dual code based on linear OA(1286, 128, F128, 6) (dual of [128, 122, 7]-code or 128-arc in PG(5,128)), using
- Reed–Solomon code RS(122,128) [i]
- discarding factors / shortening the dual code based on linear OA(1286, 128, F128, 6) (dual of [128, 122, 7]-code or 128-arc in PG(5,128)), using
- construction X applied to Ce(18) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(12843, 16404, F128, 19) (dual of [16404, 16361, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12843, 9075, F128, 19) (dual of [9075, 9032, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(12843, 9075, F128, 3, 19) (dual of [(9075, 3), 27182, 20]-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.