Information on Result #718523
Linear OA(915, 367, F9, 6) (dual of [367, 352, 7]-code), using construction X applied to C([40,45]) ⊂ C([41,45]) based on
- linear OA(915, 364, F9, 6) (dual of [364, 349, 7]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {40,41,…,45}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(912, 364, F9, 5) (dual of [364, 352, 6]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {41,42,43,44,45}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(915, 367, F9, 2, 6) (dual of [(367, 2), 719, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(915, 367, F9, 3, 6) (dual of [(367, 3), 1086, 7]-NRT-code) | [i] | ||
| 3 | Digital (9, 15, 367)-net over F9 | [i] | ||
| 4 | Linear OA(918, 892, F9, 6) (dual of [892, 874, 7]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(919, 1380, F9, 6) (dual of [1380, 1361, 7]-code) | [i] | ||
| 6 | Linear OOA(915, 183, F9, 2, 6) (dual of [(183, 2), 351, 7]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(915, 122, F9, 3, 6) (dual of [(122, 3), 351, 7]-NRT-code) | [i] | ||