Information on Result #689609
Linear OA(993, 6582, F9, 25) (dual of [6582, 6489, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
- linear OA(989, 6562, F9, 25) (dual of [6562, 6473, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(973, 6562, F9, 21) (dual of [6562, 6489, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(94, 20, F9, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,9)), 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 OA(994, 6583, F9, 25) (dual of [6583, 6489, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(993, 6582, F9, 2, 25) (dual of [(6582, 2), 13071, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(993, 6582, F9, 3, 25) (dual of [(6582, 3), 19653, 26]-NRT-code) | [i] | ||
| 4 | Digital (68, 93, 6582)-net over F9 | [i] | ||
| 5 | Linear OOA(993, 3291, F9, 2, 25) (dual of [(3291, 2), 6489, 26]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(993, 2194, F9, 3, 25) (dual of [(2194, 3), 6489, 26]-NRT-code) | [i] | ||