Information on Result #1593514
Linear OOA(2176, 706, F2, 4, 32) (dual of [(706, 4), 2648, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2176, 706, F2, 2, 32) (dual of [(706, 2), 1236, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2176, 1024, F2, 2, 32) (dual of [(1024, 2), 1872, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2176, 2048, F2, 32) (dual of [2048, 1872, 33]-code), using
- 1 times truncation [i] based on linear OA(2177, 2049, F2, 33) (dual of [2049, 1872, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2177, 2049, F2, 33) (dual of [2049, 1872, 34]-code), using
- OOA 2-folding [i] based on linear OA(2176, 2048, F2, 32) (dual of [2048, 1872, 33]-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(2176, 353, F2, 7, 32) (dual of [(353, 7), 2295, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2176, 353, F2, 8, 32) (dual of [(353, 8), 2648, 33]-NRT-code) | [i] | ||