Information on Result #1783538
Digital (198, 242, 15647)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4242, 15647, F4, 44) (dual of [15647, 15405, 45]-code), using
- discarding factors / shortening the dual code based on linear OA(4242, 16406, F4, 44) (dual of [16406, 16164, 45]-code), using
- construction X applied to C([0,22]) ⊂ C([0,20]) [i] based on
- linear OA(4239, 16385, F4, 45) (dual of [16385, 16146, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(4211, 16385, F4, 41) (dual of [16385, 16174, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to C([0,22]) ⊂ C([0,20]) [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.