Information on Result #1760830
Digital (50, 63, 1190)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(363, 1190, F3, 13) (dual of [1190, 1127, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(363, 2195, F3, 13) (dual of [2195, 2132, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([1,6]) [i] based on
- linear OA(357, 2188, F3, 13) (dual of [2188, 2131, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(356, 2188, F3, 6) (dual of [2188, 2132, 7]-code), using the narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(36, 7, F3, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,3)), using
- dual of repetition code with length 7 [i]
- construction X applied to C([0,6]) ⊂ C([1,6]) [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.