Information on Result #1520953
Linear OOA(370, 5001258, F3, 3, 7) (dual of [(5001258, 3), 15003704, 8]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(370, 5001258, F3, 7) (dual of [5001258, 5001188, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(370, large, F3, 7) (dual of [large, large−70, 8]-code), using
- 9 times code embedding in larger space [i] 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]
- 9 times code embedding in larger space [i] based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, 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, 5001257, F3, 4, 7) (dual of [(5001257, 4), 20004958, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(370, 5001257, F3, 5, 7) (dual of [(5001257, 5), 25006215, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(370, 5001257, F3, 9, 7) (dual of [(5001257, 9), 45011243, 8]-NRT-code) | [i] | ||