Information on Result #682392
Linear OA(561, 78144, F5, 11) (dual of [78144, 78083, 12]-code), using construction X applied to C([0,5]) ⊂ C([0,3]) based on
- linear OA(557, 78126, F5, 11) (dual of [78126, 78069, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(543, 78126, F5, 7) (dual of [78126, 78083, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(54, 18, F5, 3) (dual of [18, 14, 4]-code or 18-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(561, 47363, F5, 2, 11) (dual of [(47363, 2), 94665, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(561, 47363, F5, 3, 11) (dual of [(47363, 3), 142028, 12]-NRT-code) | [i] | ||
| 3 | Digital (50, 61, 47363)-net over F5 | [i] | ||