Information on Result #1515115
Linear OOA(2198, 761, F2, 3, 36) (dual of [(761, 3), 2085, 37]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound 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
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2198, 380, F2, 6, 36) (dual of [(380, 6), 2082, 37]-NRT-code) | [i] | OOA Folding | |