Information on Result #628316
Linear OA(790, large, F7, 12) (dual of [large, large−90, 13]-code), using trace code based on linear OA(4945, 5764801, F49, 12) (dual of [5764801, 5764756, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(790, large, F7, 11) (dual of [large, large−90, 12]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(790, large, F7, 10) (dual of [large, large−90, 11]-code) | [i] | ||
| 3 | Linear OA(790, large, F7, 9) (dual of [large, large−90, 10]-code) | [i] | ||
| 4 | Linear OA(790, large, F7, 8) (dual of [large, large−90, 9]-code) | [i] | ||
| 5 | Linear OA(790, large, F7, 7) (dual of [large, large−90, 8]-code) | [i] | ||
| 6 | Linear OA(790, large, F7, 6) (dual of [large, large−90, 7]-code) | [i] | ||
| 7 | Linear OA(790, large, F7, 5) (dual of [large, large−90, 6]-code) | [i] | ||
| 8 | Linear OA(790, large, F7, 4) (dual of [large, large−90, 5]-code) | [i] | ||
| 9 | Linear OA(790, large, F7, 3) (dual of [large, large−90, 4]-code) | [i] | ||
| 10 | Linear OA(792, large, F7, 12) (dual of [large, large−92, 13]-code) | [i] | Code Embedding in Larger Space | |
| 11 | Linear OA(793, large, F7, 12) (dual of [large, large−93, 13]-code) | [i] | ||
| 12 | Linear OA(794, large, F7, 12) (dual of [large, large−94, 13]-code) | [i] | ||
| 13 | Linear OA(795, large, F7, 12) (dual of [large, large−95, 13]-code) | [i] | ||
| 14 | Linear OA(796, large, F7, 12) (dual of [large, large−96, 13]-code) | [i] | ||
| 15 | Linear OA(797, large, F7, 12) (dual of [large, large−97, 13]-code) | [i] | ||
| 16 | Linear OA(799, large, F7, 12) (dual of [large, large−99, 13]-code) | [i] | ||
| 17 | Linear OA(7101, large, F7, 12) (dual of [large, large−101, 13]-code) | [i] | ||
| 18 | Linear OA(7102, large, F7, 12) (dual of [large, large−102, 13]-code) | [i] | ||
| 19 | Linear OA(7103, large, F7, 12) (dual of [large, large−103, 13]-code) | [i] | ||
| 20 | Linear OA(7104, large, F7, 12) (dual of [large, large−104, 13]-code) | [i] | ||
| 21 | Linear OA(7105, large, F7, 12) (dual of [large, large−105, 13]-code) | [i] | ||
| 22 | Linear OA(7107, large, F7, 12) (dual of [large, large−107, 13]-code) | [i] | ||
| 23 | Linear OA(7110, large, F7, 12) (dual of [large, large−110, 13]-code) | [i] | ||
| 24 | Linear OOA(790, large, F7, 2, 12) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 25 | Linear OOA(790, large, F7, 3, 12) | [i] | ||
| 26 | Digital (78, 90, large)-net over F7 | [i] | ||
| 27 | Linear OOA(790, 4194301, F7, 2, 12) (dual of [(4194301, 2), 8388512, 13]-NRT-code) | [i] | OOA Folding | |