Information on Result #689583
Linear OA(9131, 6572, F9, 36) (dual of [6572, 6441, 37]-code), using construction X applied to C([0,18]) ⊂ C([0,16]) based on
- linear OA(9129, 6562, F9, 37) (dual of [6562, 6433, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(9121, 6562, F9, 33) (dual of [6562, 6441, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
- extended Reed–Solomon code RSe(8,9) [i]
- Hamming code H(2,9) [i]
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(9131, 6572, F9, 2, 36) (dual of [(6572, 2), 13013, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9131, 6572, F9, 3, 36) (dual of [(6572, 3), 19585, 37]-NRT-code) | [i] | ||
| 3 | Digital (95, 131, 6572)-net over F9 | [i] | ||
| 4 | Linear OOA(9131, 3286, F9, 2, 36) (dual of [(3286, 2), 6441, 37]-NRT-code) | [i] | OOA Folding | |