Information on Result #1686974
Linear OOA(2225, 1850659, F2, 7, 17) (dual of [(1850659, 7), 12954388, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2225, 1850659, F2, 4, 17) (dual of [(1850659, 4), 7402411, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2225, 2097406, F2, 4, 17) (dual of [(2097406, 4), 8389399, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2225, 4194812, F2, 2, 17) (dual of [(4194812, 2), 8389399, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2225, 4194813, F2, 2, 17) (dual of [(4194813, 2), 8389401, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(240, 512, F2, 2, 8) (dual of [(512, 2), 984, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(240, 1024, F2, 8) (dual of [1024, 984, 9]-code), using
- 1 times truncation [i] based on linear OA(241, 1025, F2, 9) (dual of [1025, 984, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, 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(241, 1025, F2, 9) (dual of [1025, 984, 10]-code), using
- OOA 2-folding [i] based on linear OA(240, 1024, F2, 8) (dual of [1024, 984, 9]-code), using
- linear OOA(2185, 4194301, F2, 2, 17) (dual of [(4194301, 2), 8388417, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 18]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- OOA 2-folding [i] based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 18]-code), using
- linear OOA(240, 512, F2, 2, 8) (dual of [(512, 2), 984, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2225, 4194813, F2, 2, 17) (dual of [(4194813, 2), 8389401, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2225, 4194812, F2, 2, 17) (dual of [(4194812, 2), 8389399, 18]-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.