Information on Result #1775089
Digital (97, 124, 3090)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4124, 3090, F4, 27) (dual of [3090, 2966, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4124, 4112, F4, 27) (dual of [4112, 3988, 28]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4122, 4110, F4, 27) (dual of [4110, 3988, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- linear OA(4121, 4097, F4, 27) (dual of [4097, 3976, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(4109, 4097, F4, 25) (dual of [4097, 3988, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(41, 13, F4, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(4122, 4110, F4, 27) (dual of [4110, 3988, 28]-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.