Information on Result #1442865
Linear OOA(7106, large, F7, 2, 14), using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(7106, large, F7, 14) (dual of [large, large−106, 15]-code), using
- trace code [i] based on linear OA(4953, 5764801, F49, 14) (dual of [5764801, 5764748, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
Mode: 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(7106, large, F7, 2, 13) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(7106, large, F7, 2, 12) | [i] | ||
| 3 | Linear OOA(7108, large, F7, 2, 14) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(7110, large, F7, 2, 14) | [i] | ||
| 5 | Linear OOA(7107, large, F7, 2, 14) | [i] | OOA Duplication | |
| 6 | Linear OOA(7106, 4194301, F7, 3, 14) (dual of [(4194301, 3), 12582797, 15]-NRT-code) | [i] | OOA Folding | |