Information on Result #1747658
Digital (25, 49, 1527)-net over F128, using net defined by OOA based on linear OOA(12849, 1527, F128, 28, 24) (dual of [(1527, 28), 42707, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12849, 4582, F128, 4, 24) (dual of [(4582, 4), 18279, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12849, 4584, F128, 4, 24) (dual of [(4584, 4), 18287, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12849, 4584, F128, 3, 24) (dual of [(4584, 3), 13703, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12849, 5464, F128, 3, 24) (dual of [(5464, 3), 16343, 25]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12849, 16392, F128, 24) (dual of [16392, 16343, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(20) [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(12841, 16384, F128, 21) (dual of [16384, 16343, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(1282, 8, F128, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- construction X applied to Ce(23) ⊂ Ce(20) [i] based on
- OOA 3-folding [i] based on linear OA(12849, 16392, F128, 24) (dual of [16392, 16343, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(12849, 5464, F128, 3, 24) (dual of [(5464, 3), 16343, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12849, 4584, F128, 3, 24) (dual of [(4584, 3), 13703, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12849, 4584, F128, 4, 24) (dual of [(4584, 4), 18287, 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.