Information on Result #1724578
Digital (107, 142, 522)-net over F5, using net defined by OOA based on linear OOA(5142, 522, F5, 39, 35) (dual of [(522, 39), 20216, 36]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(5142, 3133, F5, 3, 35) (dual of [(3133, 3), 9257, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5142, 3137, F5, 3, 35) (dual of [(3137, 3), 9269, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5142, 3137, F5, 35) (dual of [3137, 2995, 36]-code), using
- construction X applied to C([0,17]) ⊂ C([0,16]) [i] based on
- linear OA(5141, 3126, F5, 35) (dual of [3126, 2985, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(5131, 3126, F5, 33) (dual of [3126, 2995, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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([0,17]) ⊂ C([0,16]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5142, 3137, F5, 35) (dual of [3137, 2995, 36]-code), using
- discarding factors / shortening the dual code based on linear OOA(5142, 3137, F5, 3, 35) (dual of [(3137, 3), 9269, 36]-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.