Information on Result #1737512
Digital (53, 80, 1582)-net over F25, using net defined by OOA based on linear OOA(2580, 1582, F25, 30, 27) (dual of [(1582, 30), 47380, 28]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(2580, 11075, F25, 2, 27) (dual of [(11075, 2), 22070, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2580, 11077, F25, 2, 27) (dual of [(11077, 2), 22074, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2580, 11077, F25, 27) (dual of [11077, 10997, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2580, 15633, F25, 27) (dual of [15633, 15553, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- 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(2573, 15626, F25, 25) (dual of [15626, 15553, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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([0,13]) ⊂ C([0,12]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2580, 15633, F25, 27) (dual of [15633, 15553, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2580, 11077, F25, 27) (dual of [11077, 10997, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(2580, 11077, F25, 2, 27) (dual of [(11077, 2), 22074, 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.