Information on Result #1760208
Digital (230, 259, 35521)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2259, 35521, F2, 7, 29) (dual of [(35521, 7), 248388, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2259, 37453, F2, 7, 29) (dual of [(37453, 7), 261912, 30]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2259, 262171, F2, 29) (dual of [262171, 261912, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(2259, 262177, F2, 29) (dual of [262177, 261918, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,12]) [i] based on
- linear OA(2253, 262145, F2, 29) (dual of [262145, 261892, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(2217, 262145, F2, 25) (dual of [262145, 261928, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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([0,14]) ⊂ C([0,12]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2259, 262177, F2, 29) (dual of [262177, 261918, 30]-code), using
- OOA 7-folding [i] based on linear OA(2259, 262171, F2, 29) (dual of [262171, 261912, 30]-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.