Information on Result #1747834
Digital (37, 64, 4088)-net over F128, using net defined by OOA based on linear OOA(12864, 4088, F128, 36, 27) (dual of [(4088, 36), 147104, 28]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(12864, 16353, F128, 4, 27) (dual of [(16353, 4), 65348, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12864, 16356, F128, 4, 27) (dual of [(16356, 4), 65360, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12864, 16356, F128, 27) (dual of [16356, 16292, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(12864, 16420, F128, 27) (dual of [16420, 16356, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,7]) [i] based on
- linear OA(12853, 16385, F128, 27) (dual of [16385, 16332, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(12811, 35, F128, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,128)), using
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- Reed–Solomon code RS(117,128) [i]
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- construction X applied to C([0,13]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12864, 16420, F128, 27) (dual of [16420, 16356, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12864, 16356, F128, 27) (dual of [16356, 16292, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(12864, 16356, F128, 4, 27) (dual of [(16356, 4), 65360, 28]-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.