Information on Result #1639921
Linear OOA(2253, 2839891, F2, 5, 17) (dual of [(2839891, 5), 14199202, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2253, 2839891, F2, 3, 17) (dual of [(2839891, 3), 8519420, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(268, 43690, F2, 3, 8) (dual of [(43690, 3), 131002, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(268, 131070, F2, 8) (dual of [131070, 131002, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(268, 131072, F2, 8) (dual of [131072, 131004, 9]-code), using
- 1 times truncation [i] based on linear OA(269, 131073, F2, 9) (dual of [131073, 131004, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 131073 | 234−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(269, 131073, F2, 9) (dual of [131073, 131004, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(268, 131072, F2, 8) (dual of [131072, 131004, 9]-code), using
- OOA 3-folding [i] based on linear OA(268, 131070, F2, 8) (dual of [131070, 131002, 9]-code), using
- linear OOA(2185, 2796201, F2, 3, 17) (dual of [(2796201, 3), 8388418, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- linear OOA(268, 43690, F2, 3, 8) (dual of [(43690, 3), 131002, 9]-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.
Other Results with Identical Parameters
None.
Depending Results
None.