Information on Result #1791302
Digital (86, 101, 2992320)-net over F7, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(7101, 2992320, F7, 15) (dual of [2992320, 2992219, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(7101, 5764822, F7, 15) (dual of [5764822, 5764721, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,5]) [i] based on
- linear OA(797, 5764802, F7, 15) (dual of [5764802, 5764705, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 716−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(781, 5764802, F7, 11) (dual of [5764802, 5764721, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 716−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(74, 20, F7, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,7)), using
- construction X applied to C([0,7]) ⊂ C([0,5]) [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.