Information on Result #1723424
Digital (64, 85, 606)-net over F5, using net defined by OOA based on linear OOA(585, 606, F5, 27, 21) (dual of [(606, 27), 16277, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(585, 2425, F5, 3, 21) (dual of [(2425, 3), 7190, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(585, 2427, F5, 3, 21) (dual of [(2427, 3), 7196, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(585, 2427, F5, 21) (dual of [2427, 2342, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(585, 3140, F5, 21) (dual of [3140, 3055, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
- linear OA(581, 3126, F5, 21) (dual of [3126, 3045, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(571, 3126, F5, 17) (dual of [3126, 3055, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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([0,10]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(585, 3140, F5, 21) (dual of [3140, 3055, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(585, 2427, F5, 21) (dual of [2427, 2342, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(585, 2427, F5, 3, 21) (dual of [(2427, 3), 7196, 22]-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.