Information on Result #1766072
Digital (149, 176, 11105)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3176, 11105, F3, 27) (dual of [11105, 10929, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(3176, 19698, F3, 27) (dual of [19698, 19522, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([1,13]) [i] based on
- linear OA(3163, 19684, F3, 27) (dual of [19684, 19521, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(3162, 19684, F3, 13) (dual of [19684, 19522, 14]-code), using the narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(313, 14, F3, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,3)), using
- dual of repetition code with length 14 [i]
- construction X applied to C([0,13]) ⊂ C([1,13]) [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.