Information on Result #682589
Linear OA(553, 15642, F5, 11) (dual of [15642, 15589, 12]-code), using construction X applied to C([0,5]) ⊂ C([0,3]) based on
- linear OA(549, 15626, F5, 11) (dual of [15626, 15577, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(537, 15626, F5, 7) (dual of [15626, 15589, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), using
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(553, 11323, F5, 2, 11) (dual of [(11323, 2), 22593, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(553, 11323, F5, 3, 11) (dual of [(11323, 3), 33916, 12]-NRT-code) | [i] | ||
| 3 | Digital (42, 53, 11323)-net over F5 | [i] | ||