Information on Result #1722310
Digital (40, 53, 1232)-net over F5, using net defined by OOA based on linear OOA(553, 1232, F5, 15, 13) (dual of [(1232, 15), 18427, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(553, 2465, F5, 3, 13) (dual of [(2465, 3), 7342, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(553, 2466, F5, 3, 13) (dual of [(2466, 3), 7345, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(553, 2466, F5, 13) (dual of [2466, 2413, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(553, 3138, F5, 13) (dual of [3138, 3085, 14]-code), using
- 1 times code embedding in larger space [i] based on linear OA(552, 3137, F5, 13) (dual of [3137, 3085, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,5]) [i] based on
- linear OA(551, 3126, F5, 13) (dual of [3126, 3075, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(541, 3126, F5, 11) (dual of [3126, 3085, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(51, 11, F5, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,6]) ⊂ C([0,5]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(552, 3137, F5, 13) (dual of [3137, 3085, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(553, 3138, F5, 13) (dual of [3138, 3085, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(553, 2466, F5, 13) (dual of [2466, 2413, 14]-code), using
- discarding factors / shortening the dual code based on linear OOA(553, 2466, F5, 3, 13) (dual of [(2466, 3), 7345, 14]-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.