Information on Result #945037
Linear OOA(272, 87381, F2, 3, 8) (dual of [(87381, 3), 262071, 9]-NRT-code), using OOA 3-folding based on linear OA(272, 262143, F2, 8) (dual of [262143, 262071, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(272, 262144, F2, 8) (dual of [262144, 262072, 9]-code), using
- 1 times truncation [i] based on linear OA(273, 262145, F2, 9) (dual of [262145, 262072, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(273, 262145, F2, 9) (dual of [262145, 262072, 10]-code), using
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(2256, 2883582, F2, 3, 16) (dual of [(2883582, 3), 8650490, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2257, 2883582, F2, 3, 17) (dual of [(2883582, 3), 8650489, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(272, 87381, F2, 4, 8) (dual of [(87381, 4), 349452, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(272, 87381, F2, 5, 8) (dual of [(87381, 5), 436833, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(272, 87381, F2, 6, 8) (dual of [(87381, 6), 524214, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(272, 87381, F2, 7, 8) (dual of [(87381, 7), 611595, 9]-NRT-code) | [i] | ||