Information on Result #1753023
Digital (134, 166, 525)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2166, 525, F2, 2, 32) (dual of [(525, 2), 884, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2166, 1050, F2, 32) (dual of [1050, 884, 33]-code), using
- 1 times truncation [i] based on linear OA(2167, 1051, F2, 33) (dual of [1051, 884, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
- linear OA(2161, 1025, F2, 33) (dual of [1025, 864, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(2141, 1025, F2, 29) (dual of [1025, 884, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(26, 26, F2, 3) (dual of [26, 20, 4]-code or 26-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on 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([0,16]) ⊂ C([0,14]) [i] based on
- 1 times truncation [i] based on linear OA(2167, 1051, F2, 33) (dual of [1051, 884, 34]-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.