Information on Result #1674388
Linear OOA(2201, 4430694, F2, 7, 13) (dual of [(4430694, 7), 31014657, 14]-NRT-code), using OOA stacking with additional row based on linear OOA(2201, 4430695, F2, 6, 13) (dual of [(4430695, 6), 26583969, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2201, 4430695, F2, 2, 13) (dual of [(4430695, 2), 8861189, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2201, 5242876, F2, 2, 13) (dual of [(5242876, 2), 10485551, 14]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2200, 5242876, F2, 2, 13) (dual of [(5242876, 2), 10485552, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(261, 1048575, F2, 2, 6) (dual of [(1048575, 2), 2097089, 7]-NRT-code), using
- linear OOA(2139, 4194301, F2, 2, 13) (dual of [(4194301, 2), 8388463, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2139, 8388602, F2, 13) (dual of [8388602, 8388463, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- OOA 2-folding [i] based on linear OA(2139, 8388602, F2, 13) (dual of [8388602, 8388463, 14]-code), using
- (u, u+v)-construction [i] based on
- 21 times duplication [i] based on linear OOA(2200, 5242876, F2, 2, 13) (dual of [(5242876, 2), 10485552, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2201, 5242876, F2, 2, 13) (dual of [(5242876, 2), 10485551, 14]-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.