Information on Result #1747604
Digital (29, 52, 2982)-net over F128, using net defined by OOA based on linear OOA(12852, 2982, F128, 28, 23) (dual of [(2982, 28), 83444, 24]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12852, 8947, F128, 4, 23) (dual of [(8947, 4), 35736, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12852, 8948, F128, 4, 23) (dual of [(8948, 4), 35740, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12852, 8948, F128, 23) (dual of [8948, 8896, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(12852, 16408, F128, 23) (dual of [16408, 16356, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,7]) [i] based on
- linear OA(12845, 16385, F128, 23) (dual of [16385, 16340, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(12829, 16385, F128, 15) (dual of [16385, 16356, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(1287, 23, F128, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,128)), using
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- Reed–Solomon code RS(121,128) [i]
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- construction X applied to C([0,11]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12852, 16408, F128, 23) (dual of [16408, 16356, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12852, 8948, F128, 23) (dual of [8948, 8896, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(12852, 8948, F128, 4, 23) (dual of [(8948, 4), 35740, 24]-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.