Information on Result #1588860
Linear OOA(252, 2730, F2, 4, 8) (dual of [(2730, 4), 10868, 9]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(252, 2730, F2, 3, 8) (dual of [(2730, 3), 8138, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(252, 8190, F2, 8) (dual of [8190, 8138, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(252, 8192, F2, 8) (dual of [8192, 8140, 9]-code), using
- 1 times truncation [i] based on linear OA(253, 8193, F2, 9) (dual of [8193, 8140, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, 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(253, 8193, F2, 9) (dual of [8193, 8140, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(252, 8192, F2, 8) (dual of [8192, 8140, 9]-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(2237, 2099880, F2, 4, 17) (dual of [(2099880, 4), 8399283, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(252, 2729, F2, 5, 8) (dual of [(2729, 5), 13593, 9]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(252, 2729, F2, 6, 8) (dual of [(2729, 6), 16322, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(252, 2729, F2, 7, 8) (dual of [(2729, 7), 19051, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(252, 2729, F2, 8, 8) (dual of [(2729, 8), 21780, 9]-NRT-code) | [i] | ||