Information on Result #2263632
Linear OA(372, large, F3, 7) (dual of [large, large−72, 8]-code), using 11 times code embedding in larger space based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(372, 7761182, F3, 2, 7) (dual of [(7761182, 2), 15522292, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(372, 7761182, F3, 3, 7) (dual of [(7761182, 3), 23283474, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(372, 7761182, F3, 4, 7) (dual of [(7761182, 4), 31044656, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(372, 7761182, F3, 5, 7) (dual of [(7761182, 5), 38805838, 8]-NRT-code) | [i] | ||
| 5 | Digital (65, 72, 7761182)-net over F3 | [i] | ||