Information on Result #1746976
Digital (13, 25, 3960)-net over F128, using net defined by OOA based on linear OOA(12825, 3960, F128, 15, 12) (dual of [(3960, 15), 59375, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12825, 7921, F128, 3, 12) (dual of [(7921, 3), 23738, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12825, 7922, F128, 3, 12) (dual of [(7922, 3), 23741, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12825, 7922, F128, 2, 12) (dual of [(7922, 2), 15819, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12825, 8196, F128, 2, 12) (dual of [(8196, 2), 16367, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12825, 16392, F128, 12) (dual of [16392, 16367, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(8) [i] based on
- 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(12817, 16384, F128, 9) (dual of [16384, 16367, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(11) ⊂ Ce(8) [i] based on
- OOA 2-folding [i] based on linear OA(12825, 16392, F128, 12) (dual of [16392, 16367, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(12825, 8196, F128, 2, 12) (dual of [(8196, 2), 16367, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12825, 7922, F128, 2, 12) (dual of [(7922, 2), 15819, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12825, 7922, F128, 3, 12) (dual of [(7922, 3), 23741, 13]-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.