Information on Result #945080
Linear OOA(245, 683, F2, 3, 9) (dual of [(683, 3), 2004, 10]-NRT-code), using OOA 3-folding based on linear OA(245, 2049, F2, 9) (dual of [2049, 2004, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(2252, 2796884, F2, 3, 18) (dual of [(2796884, 3), 8390400, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2253, 2796884, F2, 3, 19) (dual of [(2796884, 3), 8390399, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(245, 683, F2, 4, 9) (dual of [(683, 4), 2687, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(245, 683, F2, 5, 9) (dual of [(683, 5), 3370, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(245, 683, F2, 6, 9) (dual of [(683, 6), 4053, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(245, 683, F2, 7, 9) (dual of [(683, 7), 4736, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(245, 683, F2, 8, 9) (dual of [(683, 8), 5419, 10]-NRT-code) | [i] | ||