Information on Result #1737664
Digital (57, 86, 1634)-net over F25, using net defined by OOA based on linear OOA(2586, 1634, F25, 30, 29) (dual of [(1634, 30), 48934, 30]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(2586, 11439, F25, 2, 29) (dual of [(11439, 2), 22792, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2586, 11445, F25, 2, 29) (dual of [(11445, 2), 22804, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2586, 11445, F25, 29) (dual of [11445, 11359, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(2586, 15633, F25, 29) (dual of [15633, 15547, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,13]) [i] based on
- linear OA(2585, 15626, F25, 29) (dual of [15626, 15541, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(2579, 15626, F25, 27) (dual of [15626, 15547, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,14]) ⊂ C([0,13]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2586, 15633, F25, 29) (dual of [15633, 15547, 30]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2586, 11445, F25, 29) (dual of [11445, 11359, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(2586, 11445, F25, 2, 29) (dual of [(11445, 2), 22804, 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.