Information on Result #2263630
Linear OA(370, large, F3, 7) (dual of [large, large−70, 8]-code), using 9 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(370, 5001258, F3, 2, 7) (dual of [(5001258, 2), 10002446, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(370, 5001258, F3, 3, 7) (dual of [(5001258, 3), 15003704, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(370, 5001258, F3, 4, 7) (dual of [(5001258, 4), 20004962, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(370, 5001258, F3, 5, 7) (dual of [(5001258, 5), 25006220, 8]-NRT-code) | [i] | ||
| 5 | Digital (63, 70, 5001258)-net over F3 | [i] | ||