Information on Result #682879
Linear OA(585, 3140, F5, 21) (dual of [3140, 3055, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,8]) based on
- linear OA(581, 3126, F5, 21) (dual of [3126, 3045, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(571, 3126, F5, 17) (dual of [3126, 3055, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(585, 2427, F5, 2, 21) (dual of [(2427, 2), 4769, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(585, 2427, F5, 3, 21) (dual of [(2427, 3), 7196, 22]-NRT-code) | [i] | ||
| 3 | Digital (64, 85, 2427)-net over F5 | [i] | ||