Information on Result #1736250
Digital (15, 28, 182)-net over F25, using net defined by OOA based on linear OOA(2528, 182, F25, 14, 13) (dual of [(182, 14), 2520, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2528, 547, F25, 2, 13) (dual of [(547, 2), 1066, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2528, 547, F25, 13) (dual of [547, 519, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2528, 637, F25, 13) (dual of [637, 609, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- linear OA(2525, 626, F25, 13) (dual of [626, 601, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(2517, 626, F25, 9) (dual of [626, 609, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(253, 11, F25, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,25) or 11-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2528, 637, F25, 13) (dual of [637, 609, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2528, 547, F25, 13) (dual of [547, 519, 14]-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.