Information on Result #662921
Linear OA(5122, 390635, F5, 18) (dual of [390635, 390513, 19]-code), using (u, u+v)-construction based on
- linear OA(59, 10, F5, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,5)), using
- dual of repetition code with length 10 [i]
- linear OA(5113, 390625, F5, 18) (dual of [390625, 390512, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(5122, 328416, F5, 2, 18) (dual of [(328416, 2), 656710, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5122, 328416, F5, 3, 18) (dual of [(328416, 3), 985126, 19]-NRT-code) | [i] | ||
| 3 | Digital (104, 122, 328416)-net over F5 | [i] | ||