Information on Result #1747070
Digital (19, 33, 8201)-net over F128, using net defined by OOA based on linear OOA(12833, 8201, F128, 20, 14) (dual of [(8201, 20), 163987, 15]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12833, 16403, F128, 4, 14) (dual of [(16403, 4), 65579, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12833, 16404, F128, 4, 14) (dual of [(16404, 4), 65583, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12833, 16404, F128, 14) (dual of [16404, 16371, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(6) [i] based on
- linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(12813, 16384, F128, 7) (dual of [16384, 16371, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(13) ⊂ Ce(6) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12833, 16404, F128, 14) (dual of [16404, 16371, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(12833, 16404, F128, 4, 14) (dual of [(16404, 4), 65583, 15]-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.