Information on Result #1792212
Digital (44, 61, 3750)-net over F8, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(861, 3750, F8, 17) (dual of [3750, 3689, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(861, 4109, F8, 17) (dual of [4109, 4048, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [i] based on
- linear OA(857, 4097, F8, 17) (dual of [4097, 4040, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(849, 4097, F8, 13) (dual of [4097, 4048, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(84, 12, F8, 3) (dual of [12, 8, 4]-code or 12-cap in PG(3,8)), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [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.