Information on Result #1180192
Digital (59, 71, 344)-net over F2, using net defined by OOA based on linear OOA(271, 344, F2, 12, 12) (dual of [(344, 12), 4057, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(271, 2064, F2, 12) (dual of [2064, 1993, 13]-code), using
- 1 times truncation [i] based on linear OA(272, 2065, F2, 13) (dual of [2065, 1993, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- linear OA(267, 2049, F2, 13) (dual of [2049, 1982, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(245, 2049, F2, 9) (dual of [2049, 2004, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- 1 times truncation [i] based on linear OA(272, 2065, F2, 13) (dual of [2065, 1993, 14]-code), using
Mode: Constructive and 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.