Information on Result #1772644
Digital (32, 41, 3101)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(441, 3101, F4, 9) (dual of [3101, 3060, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(441, 4102, F4, 9) (dual of [4102, 4061, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([1,4]) [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(436, 4097, F4, 4) (dual of [4097, 4061, 5]-code), using the narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(44, 5, F4, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,4)), using
- dual of repetition code with length 5 [i]
- construction X applied to C([0,4]) ⊂ C([1,4]) [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.