Information on Result #1784731
Digital (219, 254, 181118)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4254, 181118, F4, 35) (dual of [181118, 180864, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(4254, 262183, F4, 35) (dual of [262183, 261929, 36]-code), using
- construction X4 applied to C([0,18]) ⊂ C([0,16]) [i] based on
- linear OA(4253, 262145, F4, 37) (dual of [262145, 261892, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(4217, 262145, F4, 33) (dual of [262145, 261928, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(437, 38, F4, 37) (dual of [38, 1, 38]-code or 38-arc in PG(36,4)), using
- dual of repetition code with length 38 [i]
- linear OA(41, 38, F4, 1) (dual of [38, 37, 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 X4 applied to C([0,18]) ⊂ C([0,16]) [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.