Information on Result #662872
Linear OA(5143, 390655, F5, 21) (dual of [390655, 390512, 22]-code), using (u, u+v)-construction based on
- linear OA(514, 29, F5, 10) (dual of [29, 15, 11]-code), using
- 1 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- 1 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-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(5143, 331909, F5, 2, 21) (dual of [(331909, 2), 663675, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5143, 331909, F5, 3, 21) (dual of [(331909, 3), 995584, 22]-NRT-code) | [i] | ||
| 3 | Digital (122, 143, 331909)-net over F5 | [i] | ||