Information on Result #1722088
Digital (34, 45, 1351)-net over F5, using net defined by OOA based on linear OOA(545, 1351, F5, 15, 11) (dual of [(1351, 15), 20220, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(545, 2703, F5, 3, 11) (dual of [(2703, 3), 8064, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(545, 2704, F5, 3, 11) (dual of [(2704, 3), 8067, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(545, 2704, F5, 11) (dual of [2704, 2659, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(545, 3140, F5, 11) (dual of [3140, 3095, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,3]) [i] based on
- 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(531, 3126, F5, 7) (dual of [3126, 3095, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,5)), using
- construction X applied to C([0,5]) ⊂ C([0,3]) [i] based on
- discarding factors / shortening the dual code based on linear OA(545, 3140, F5, 11) (dual of [3140, 3095, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(545, 2704, F5, 11) (dual of [2704, 2659, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(545, 2704, F5, 3, 11) (dual of [(2704, 3), 8067, 12]-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.