Information on Result #662871
Linear OA(5142, 390643, F5, 21) (dual of [390643, 390501, 22]-code), using (u, u+v)-construction based on
- linear OA(513, 17, F5, 10) (dual of [17, 4, 11]-code), using
- linear OA(5129, 390626, F5, 21) (dual of [390626, 390497, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [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(5142, 304951, F5, 2, 21) (dual of [(304951, 2), 609760, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5142, 304951, F5, 3, 21) (dual of [(304951, 3), 914711, 22]-NRT-code) | [i] | ||
| 3 | Digital (121, 142, 304951)-net over F5 | [i] | ||