Information on Result #1772630
Digital (31, 40, 2543)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(440, 2543, F4, 9) (dual of [2543, 2503, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(440, 4103, F4, 9) (dual of [4103, 4063, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,2]) [i] based on
- linear OA(437, 4097, F4, 9) (dual of [4097, 4060, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(425, 4097, F4, 5) (dual of [4097, 4072, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,2], and minimum distance d ≥ |{−4,−2,0,2,4}|+1 = 6 (BCH-bound) [i]
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
- construction X applied to C([0,4]) ⊂ C([0,2]) [i] based on
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.