Information on Result #682886
Linear OA(545, 3140, F5, 11) (dual of [3140, 3095, 12]-code), using construction X applied to C([0,5]) ⊂ C([0,3]) based on
- linear OA(541, 3126, F5, 11) (dual of [3126, 3085, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(531, 3126, F5, 7) (dual of [3126, 3095, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-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(545, 2704, F5, 2, 11) (dual of [(2704, 2), 5363, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(545, 2704, F5, 3, 11) (dual of [(2704, 3), 8067, 12]-NRT-code) | [i] | ||
| 3 | Digital (34, 45, 2704)-net over F5 | [i] | ||