Information on Result #663052
Linear OA(579, 390632, F5, 12) (dual of [390632, 390553, 13]-code), using (u, u+v)-construction based on
- linear OA(56, 7, F5, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,5)), using
- dual of repetition code with length 7 [i]
- linear OA(573, 390625, F5, 12) (dual of [390625, 390552, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, 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, 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(579, 320534, F5, 2, 12) (dual of [(320534, 2), 640989, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(579, 320534, F5, 3, 12) (dual of [(320534, 3), 961523, 13]-NRT-code) | [i] | ||
| 3 | Digital (67, 79, 320534)-net over F5 | [i] | ||