Information on Result #1747666
Digital (29, 53, 2733)-net over F128, using net defined by OOA based on linear OOA(12853, 2733, F128, 28, 24) (dual of [(2733, 28), 76471, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12853, 8200, F128, 4, 24) (dual of [(8200, 4), 32747, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12853, 8202, F128, 4, 24) (dual of [(8202, 4), 32755, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12853, 8202, F128, 2, 24) (dual of [(8202, 2), 16351, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12853, 16404, F128, 24) (dual of [16404, 16351, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(16) [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(12833, 16384, F128, 17) (dual of [16384, 16351, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(23) ⊂ Ce(16) [i] based on
- OOA 2-folding [i] based on linear OA(12853, 16404, F128, 24) (dual of [16404, 16351, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12853, 8202, F128, 2, 24) (dual of [(8202, 2), 16351, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12853, 8202, F128, 4, 24) (dual of [(8202, 4), 32755, 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.