Information on Result #1051406
Linear OOA(2126, 524288, F2, 4, 12) (dual of [(524288, 4), 2097026, 13]-NRT-code), using OOA 4-folding based on linear OA(2126, 2097152, F2, 12) (dual of [2097152, 2097026, 13]-code), using
- 1 times truncation [i] based on linear OA(2127, 2097153, F2, 13) (dual of [2097153, 2097026, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 242−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(2126, 524288, F2, 5, 12) (dual of [(524288, 5), 2621314, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2126, 524288, F2, 6, 12) (dual of [(524288, 6), 3145602, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(2126, 524288, F2, 7, 12) (dual of [(524288, 7), 3669890, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(2126, 524288, F2, 8, 12) (dual of [(524288, 8), 4194178, 13]-NRT-code) | [i] | ||
| 5 | Digital (114, 126, 524288)-net over F2 | [i] | ||