Information on Result #1737914
Digital (65, 98, 1528)-net over F25, using net defined by OOA based on linear OOA(2598, 1528, F25, 34, 33) (dual of [(1528, 34), 51854, 34]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OOA(2598, 12225, F25, 2, 33) (dual of [(12225, 2), 24352, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2598, 12231, F25, 2, 33) (dual of [(12231, 2), 24364, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2598, 12231, F25, 33) (dual of [12231, 12133, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(2598, 15633, F25, 33) (dual of [15633, 15535, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,15]) [i] based on
- linear OA(2597, 15626, F25, 33) (dual of [15626, 15529, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(2591, 15626, F25, 31) (dual of [15626, 15535, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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([0,16]) ⊂ C([0,15]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2598, 15633, F25, 33) (dual of [15633, 15535, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2598, 12231, F25, 33) (dual of [12231, 12133, 34]-code), using
- discarding factors / shortening the dual code based on linear OOA(2598, 12231, F25, 2, 33) (dual of [(12231, 2), 24364, 34]-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.