Information on Result #808230
Linear OOA(2198, 1024, F2, 2, 36) (dual of [(1024, 2), 1850, 37]-NRT-code), using OOA 2-folding 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]
Mode: Constructive and 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, 761, F2, 3, 36) (dual of [(761, 3), 2085, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2198, 761, F2, 4, 36) (dual of [(761, 4), 2846, 37]-NRT-code) | [i] | ||
| 3 | Linear OOA(2198, 761, F2, 5, 36) (dual of [(761, 5), 3607, 37]-NRT-code) | [i] | ||
| 4 | Linear OOA(2198, 761, F2, 6, 36) (dual of [(761, 6), 4368, 37]-NRT-code) | [i] | ||
| 5 | Linear OOA(2198, 761, F2, 7, 36) (dual of [(761, 7), 5129, 37]-NRT-code) | [i] | ||
| 6 | Linear OOA(2198, 761, F2, 8, 36) (dual of [(761, 8), 5890, 37]-NRT-code) | [i] | ||
| 7 | Digital (162, 198, 761)-net over F2 | [i] | ||