Information on Result #662951
Linear OA(5115, 390638, F5, 17) (dual of [390638, 390523, 18]-code), using (u, u+v)-construction based on
- linear OA(510, 13, F5, 8) (dual of [13, 3, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(510, 15, F5, 8) (dual of [15, 5, 9]-code), using
- linear OA(5105, 390625, F5, 17) (dual of [390625, 390520, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(5115, 329507, F5, 2, 17) (dual of [(329507, 2), 658899, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5115, 329507, F5, 3, 17) (dual of [(329507, 3), 988406, 18]-NRT-code) | [i] | ||
| 3 | Digital (98, 115, 329507)-net over F5 | [i] | ||