Information on Result #1674991
Linear OOA(2198, 380, F2, 7, 36) (dual of [(380, 7), 2462, 37]-NRT-code), using OOA 2-folding based on linear OOA(2198, 760, F2, 4, 36) (dual of [(760, 4), 2842, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2198, 761, F2, 4, 36) (dual of [(761, 4), 2846, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2198, 761, F2, 2, 36) (dual of [(761, 2), 1324, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2198, 1024, F2, 2, 36) (dual of [(1024, 2), 1850, 37]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2198, 2048, F2, 36) (dual of [2048, 1850, 37]-code), using
- 1 times truncation [i] based on linear OA(2199, 2049, F2, 37) (dual of [2049, 1850, 38]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2199, 2049, F2, 37) (dual of [2049, 1850, 38]-code), using
- OOA 2-folding [i] based on linear OA(2198, 2048, F2, 36) (dual of [2048, 1850, 37]-code), using
- discarding factors / shortening the dual code based on linear OOA(2198, 1024, F2, 2, 36) (dual of [(1024, 2), 1850, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2198, 761, F2, 2, 36) (dual of [(761, 2), 1324, 37]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.