Information on Result #1747674
Digital (33, 57, 5471)-net over F128, using net defined by OOA based on linear OOA(12857, 5471, F128, 28, 24) (dual of [(5471, 28), 153131, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12857, 16414, F128, 4, 24) (dual of [(16414, 4), 65599, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12857, 16416, F128, 4, 24) (dual of [(16416, 4), 65607, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12857, 16416, F128, 24) (dual of [16416, 16359, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(12) [i] based on
- linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(12825, 16384, F128, 13) (dual of [16384, 16359, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(12810, 32, F128, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,128)), using
- discarding factors / shortening the dual code based on linear OA(12810, 128, F128, 10) (dual of [128, 118, 11]-code or 128-arc in PG(9,128)), using
- Reed–Solomon code RS(118,128) [i]
- discarding factors / shortening the dual code based on linear OA(12810, 128, F128, 10) (dual of [128, 118, 11]-code or 128-arc in PG(9,128)), using
- construction X applied to Ce(23) ⊂ Ce(12) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12857, 16416, F128, 24) (dual of [16416, 16359, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(12857, 16416, F128, 4, 24) (dual of [(16416, 4), 65607, 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.