Information on Result #1188926
Digital (50, 65, 449)-net over F5, using net defined by OOA based on linear OOA(565, 449, F5, 15, 15) (dual of [(449, 15), 6670, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(565, 3144, F5, 15) (dual of [3144, 3079, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(565, 3150, F5, 15) (dual of [3150, 3085, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,5]) [i] based on
- linear OA(561, 3126, F5, 15) (dual of [3126, 3065, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(54, 24, F5, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,5)), using
- construction X applied to C([0,7]) ⊂ C([0,5]) [i] based on
- discarding factors / shortening the dual code based on linear OA(565, 3150, F5, 15) (dual of [3150, 3085, 16]-code), using
Mode: Constructive and 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.