Information on Result #663053
Linear OA(580, 390635, F5, 12) (dual of [390635, 390555, 13]-code), using (u, u+v)-construction based on
- linear OA(57, 10, F5, 6) (dual of [10, 3, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 11, F5, 6) (dual of [11, 4, 7]-code), using
- 1 times truncation [i] based on linear OA(58, 12, F5, 7) (dual of [12, 4, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 11, F5, 6) (dual of [11, 4, 7]-code), using
- 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(580, 376506, F5, 2, 12) (dual of [(376506, 2), 752932, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(580, 376506, F5, 3, 12) (dual of [(376506, 3), 1129438, 13]-NRT-code) | [i] | ||
| 3 | Digital (68, 80, 376506)-net over F5 | [i] | ||