Information on Result #1747918
Digital (37, 66, 2540)-net over F128, using net defined by OOA based on linear OOA(12866, 2540, F128, 36, 29) (dual of [(2540, 36), 91374, 30]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(12866, 10161, F128, 4, 29) (dual of [(10161, 4), 40578, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12866, 10162, F128, 4, 29) (dual of [(10162, 4), 40582, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12866, 10162, F128, 29) (dual of [10162, 10096, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(12866, 16414, F128, 29) (dual of [16414, 16348, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,9]) [i] based on
- linear OA(12857, 16385, F128, 29) (dual of [16385, 16328, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(12837, 16385, F128, 19) (dual of [16385, 16348, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(1289, 29, F128, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,128)), using
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- Reed–Solomon code RS(119,128) [i]
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- construction X applied to C([0,14]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12866, 16414, F128, 29) (dual of [16414, 16348, 30]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12866, 10162, F128, 29) (dual of [10162, 10096, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(12866, 10162, F128, 4, 29) (dual of [(10162, 4), 40582, 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.