Information on Result #689610
Linear OA(985, 6582, F9, 23) (dual of [6582, 6497, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,9]) based on
- linear OA(981, 6562, F9, 23) (dual of [6562, 6481, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(965, 6562, F9, 19) (dual of [6562, 6497, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(986, 6583, F9, 23) (dual of [6583, 6497, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(987, 6584, F9, 23) (dual of [6584, 6497, 24]-code) | [i] | ||
| 3 | Linear OOA(985, 6582, F9, 2, 23) (dual of [(6582, 2), 13079, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(985, 6582, F9, 3, 23) (dual of [(6582, 3), 19661, 24]-NRT-code) | [i] | ||
| 5 | Digital (62, 85, 6582)-net over F9 | [i] | ||
| 6 | Linear OA(986, 6584, F9, 23) (dual of [6584, 6498, 24]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OOA(985, 3291, F9, 2, 23) (dual of [(3291, 2), 6497, 24]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(985, 2194, F9, 3, 23) (dual of [(2194, 3), 6497, 24]-NRT-code) | [i] | ||