Information on Result #628324
Linear OA(7106, large, F7, 14) (dual of [large, large−106, 15]-code), using trace code 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: 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 OA(7106, large, F7, 13) (dual of [large, large−106, 14]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(7106, large, F7, 12) (dual of [large, large−106, 13]-code) | [i] | ||
| 3 | Linear OA(7106, large, F7, 11) (dual of [large, large−106, 12]-code) | [i] | ||
| 4 | Linear OA(7106, large, F7, 10) (dual of [large, large−106, 11]-code) | [i] | ||
| 5 | Linear OA(7106, large, F7, 9) (dual of [large, large−106, 10]-code) | [i] | ||
| 6 | Linear OA(7106, large, F7, 8) (dual of [large, large−106, 9]-code) | [i] | ||
| 7 | Linear OA(7106, large, F7, 7) (dual of [large, large−106, 8]-code) | [i] | ||
| 8 | Linear OA(7106, large, F7, 6) (dual of [large, large−106, 7]-code) | [i] | ||
| 9 | Linear OA(7106, large, F7, 5) (dual of [large, large−106, 6]-code) | [i] | ||
| 10 | Linear OA(7106, large, F7, 4) (dual of [large, large−106, 5]-code) | [i] | ||
| 11 | Linear OA(7106, large, F7, 3) (dual of [large, large−106, 4]-code) | [i] | ||
| 12 | Linear OA(7107, large, F7, 14) (dual of [large, large−107, 15]-code) | [i] | Code Embedding in Larger Space | |
| 13 | Linear OA(7110, large, F7, 14) (dual of [large, large−110, 15]-code) | [i] | ||
| 14 | Linear OOA(7106, large, F7, 2, 14) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 15 | Linear OOA(7106, large, F7, 3, 14) | [i] | ||
| 16 | Digital (92, 106, large)-net over F7 | [i] | ||
| 17 | Linear OOA(7106, 4194301, F7, 2, 14) (dual of [(4194301, 2), 8388496, 15]-NRT-code) | [i] | OOA Folding | |