Information on Result #1747924
Digital (40, 69, 4105)-net over F128, using net defined by OOA based on linear OOA(12869, 4105, F128, 36, 29) (dual of [(4105, 36), 147711, 30]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(12869, 16421, F128, 4, 29) (dual of [(16421, 4), 65615, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12869, 16422, F128, 4, 29) (dual of [(16422, 4), 65619, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12869, 16422, F128, 29) (dual of [16422, 16353, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(15) [i] based on
- linear OA(12857, 16384, F128, 29) (dual of [16384, 16327, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(12812, 38, F128, 12) (dual of [38, 26, 13]-code or 38-arc in PG(11,128)), using
- discarding factors / shortening the dual code based on linear OA(12812, 128, F128, 12) (dual of [128, 116, 13]-code or 128-arc in PG(11,128)), using
- Reed–Solomon code RS(116,128) [i]
- discarding factors / shortening the dual code based on linear OA(12812, 128, F128, 12) (dual of [128, 116, 13]-code or 128-arc in PG(11,128)), using
- construction X applied to Ce(28) ⊂ Ce(15) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12869, 16422, F128, 29) (dual of [16422, 16353, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(12869, 16422, F128, 4, 29) (dual of [(16422, 4), 65619, 30]-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.