Information on Result #1752796
Digital (134, 162, 824)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2162, 824, F2, 2, 28) (dual of [(824, 2), 1486, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2162, 1039, F2, 2, 28) (dual of [(1039, 2), 1916, 29]-NRT-code), using
- strength reduction [i] based on linear OOA(2162, 1039, F2, 2, 29) (dual of [(1039, 2), 1916, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2162, 2078, F2, 29) (dual of [2078, 1916, 30]-code), using
- 1 times code embedding in larger space [i] based on linear OA(2161, 2077, F2, 29) (dual of [2077, 1916, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,12]) [i] based on
- linear OA(2155, 2049, F2, 29) (dual of [2049, 1894, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(2133, 2049, F2, 25) (dual of [2049, 1916, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(26, 28, F2, 3) (dual of [28, 22, 4]-code or 28-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 code embedding in larger space [i] based on linear OA(2161, 2077, F2, 29) (dual of [2077, 1916, 30]-code), using
- OOA 2-folding [i] based on linear OA(2162, 2078, F2, 29) (dual of [2078, 1916, 30]-code), using
- strength reduction [i] based on linear OOA(2162, 1039, F2, 2, 29) (dual of [(1039, 2), 1916, 30]-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.