Information on Result #1051403
Linear OOA(2120, 262144, F2, 4, 12) (dual of [(262144, 4), 1048456, 13]-NRT-code), using OOA 4-folding based on linear OA(2120, 1048576, F2, 12) (dual of [1048576, 1048456, 13]-code), using
- 1 times truncation [i] based on linear OA(2121, 1048577, F2, 13) (dual of [1048577, 1048456, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 240−1, 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(2120, 262144, F2, 5, 12) (dual of [(262144, 5), 1310600, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2120, 262144, F2, 6, 12) (dual of [(262144, 6), 1572744, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(2120, 262144, F2, 7, 12) (dual of [(262144, 7), 1834888, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(2120, 262144, F2, 8, 12) (dual of [(262144, 8), 2097032, 13]-NRT-code) | [i] | ||
| 5 | Digital (108, 120, 262144)-net over F2 | [i] | ||