Information on Result #1760380
Digital (25, 32, 1179)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(332, 1179, F3, 7) (dual of [1179, 1147, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(332, 2192, F3, 7) (dual of [2192, 2160, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([1,3]) [i] based on
- linear OA(329, 2188, F3, 7) (dual of [2188, 2159, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(328, 2188, F3, 3) (dual of [2188, 2160, 4]-code or 2188-cap in PG(27,3)), using the narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(33, 4, F3, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,3) or 4-cap in PG(2,3)), using
- dual of repetition code with length 4 [i]
- oval in PG(2, 3) [i]
- construction X applied to C([0,3]) ⊂ C([1,3]) [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.