Information on Result #805472
Linear OOA(244, 1024, F2, 2, 8) (dual of [(1024, 2), 2004, 9]-NRT-code), using OOA 2-folding based on linear OA(244, 2048, F2, 8) (dual of [2048, 2004, 9]-code), using
- 1 times truncation [i] 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(2228, 4195325, F2, 2, 16) (dual of [(4195325, 2), 8390422, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2229, 4195325, F2, 2, 17) (dual of [(4195325, 2), 8390421, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(244, 874, F2, 3, 8) (dual of [(874, 3), 2578, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(244, 874, F2, 4, 8) (dual of [(874, 4), 3452, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(244, 874, F2, 5, 8) (dual of [(874, 5), 4326, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(244, 874, F2, 6, 8) (dual of [(874, 6), 5200, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(244, 874, F2, 7, 8) (dual of [(874, 7), 6074, 9]-NRT-code) | [i] | ||