Information on Result #1712192
Digital (208, 245, 691)-net over F2, using net defined by OOA based on linear OOA(2245, 691, F2, 42, 37) (dual of [(691, 42), 28777, 38]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2245, 2074, F2, 6, 37) (dual of [(2074, 6), 12199, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2245, 2075, F2, 6, 37) (dual of [(2075, 6), 12205, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2245, 2075, F2, 3, 37) (dual of [(2075, 3), 5980, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2245, 2743, F2, 3, 37) (dual of [(2743, 3), 7984, 38]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2242, 2742, F2, 3, 37) (dual of [(2742, 3), 7984, 38]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2242, 8226, F2, 37) (dual of [8226, 7984, 38]-code), using
- 1 times code embedding in larger space [i] based on linear OA(2241, 8225, F2, 37) (dual of [8225, 7984, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([0,16]) [i] based on
- linear OA(2235, 8193, F2, 37) (dual of [8193, 7958, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(2209, 8193, F2, 33) (dual of [8193, 7984, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to C([0,18]) ⊂ C([0,16]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(2241, 8225, F2, 37) (dual of [8225, 7984, 38]-code), using
- OOA 3-folding [i] based on linear OA(2242, 8226, F2, 37) (dual of [8226, 7984, 38]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2242, 2742, F2, 3, 37) (dual of [(2742, 3), 7984, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2245, 2743, F2, 3, 37) (dual of [(2743, 3), 7984, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2245, 2075, F2, 3, 37) (dual of [(2075, 3), 5980, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2245, 2075, F2, 6, 37) (dual of [(2075, 6), 12205, 38]-NRT-code), using
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.