Information on Result #1748078
Digital (40, 75, 1288)-net over F128, using net defined by OOA based on linear OOA(12875, 1288, F128, 44, 35) (dual of [(1288, 44), 56597, 36]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(12875, 6441, F128, 4, 35) (dual of [(6441, 4), 25689, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12875, 6444, F128, 4, 35) (dual of [(6444, 4), 25701, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12875, 6444, F128, 2, 35) (dual of [(6444, 2), 12813, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12875, 8202, F128, 2, 35) (dual of [(8202, 2), 16329, 36]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12875, 16404, F128, 35) (dual of [16404, 16329, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(27) [i] based on
- linear OA(12869, 16384, F128, 35) (dual of [16384, 16315, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(12855, 16384, F128, 28) (dual of [16384, 16329, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(34) ⊂ Ce(27) [i] based on
- OOA 2-folding [i] based on linear OA(12875, 16404, F128, 35) (dual of [16404, 16329, 36]-code), using
- discarding factors / shortening the dual code based on linear OOA(12875, 8202, F128, 2, 35) (dual of [(8202, 2), 16329, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12875, 6444, F128, 2, 35) (dual of [(6444, 2), 12813, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12875, 6444, F128, 4, 35) (dual of [(6444, 4), 25701, 36]-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.