Information on Result #1751949
Digital (118, 146, 516)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2146, 516, F2, 2, 28) (dual of [(516, 2), 886, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2146, 525, F2, 2, 28) (dual of [(525, 2), 904, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2146, 1050, F2, 28) (dual of [1050, 904, 29]-code), using
- 1 times truncation [i] based on linear OA(2147, 1051, F2, 29) (dual of [1051, 904, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,12]) [i] based on
- 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(2121, 1025, F2, 25) (dual of [1025, 904, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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([0,14]) ⊂ C([0,12]) [i] based on
- 1 times truncation [i] based on linear OA(2147, 1051, F2, 29) (dual of [1051, 904, 30]-code), using
- OOA 2-folding [i] based on linear OA(2146, 1050, F2, 28) (dual of [1050, 904, 29]-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.