Information on Result #1707932
Digital (22, 26, large)-net over F7, using net defined by OOA based on linear OOA(726, large, F7, 4, 4), using
- appending kth column [i] based on linear OOA(726, large, F7, 3, 4), using
- embedding of OOA with Gilbert–VarÅ¡amov bound [i] based on linear OA(726, large, F7, 4) (dual of [large, large−26, 5]-code), using
- trace code [i] based on linear OA(4913, 5764801, F49, 4) (dual of [5764801, 5764788, 5]-code), using
- an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- trace code [i] based on linear OA(4913, 5764801, F49, 4) (dual of [5764801, 5764788, 5]-code), using
- embedding of OOA with Gilbert–VarÅ¡amov bound [i] based on linear OA(726, large, F7, 4) (dual of [large, large−26, 5]-code), using
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 | Digital (23, 27, large)-net over F7 | [i] | Net Duplication | |
| 2 | Digital (24, 28, large)-net over F7 | [i] | ||
| 3 | Digital (25, 29, large)-net over F7 | [i] | ||
| 4 | Digital (26, 30, large)-net over F7 | [i] | ||
| 5 | Digital (27, 31, large)-net over F7 | [i] | ||
| 6 | Digital (28, 32, large)-net over F7 | [i] | ||