Information on Result #808606
Linear OOA(2220, 1024, F2, 2, 40) (dual of [(1024, 2), 1828, 41]-NRT-code), using OOA 2-folding based on linear OA(2220, 2048, F2, 40) (dual of [2048, 1828, 41]-code), using
- 1 times truncation [i] based on linear OA(2221, 2049, F2, 41) (dual of [2049, 1828, 42]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(2220, 817, F2, 3, 40) (dual of [(817, 3), 2231, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2220, 817, F2, 4, 40) (dual of [(817, 4), 3048, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(2220, 817, F2, 5, 40) (dual of [(817, 5), 3865, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(2220, 817, F2, 6, 40) (dual of [(817, 6), 4682, 41]-NRT-code) | [i] | ||
| 5 | Linear OOA(2220, 817, F2, 7, 40) (dual of [(817, 7), 5499, 41]-NRT-code) | [i] | ||
| 6 | Linear OOA(2220, 817, F2, 8, 40) (dual of [(817, 8), 6316, 41]-NRT-code) | [i] | ||
| 7 | Digital (180, 220, 817)-net over F2 | [i] | ||