Information on Result #689581
Linear OA(9132, 6572, F9, 37) (dual of [6572, 6440, 38]-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(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
- extended Reed–Solomon code RSe(7,9) [i]
- oval in PG(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(9132, 6462, F9, 2, 37) (dual of [(6462, 2), 12792, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9132, 6462, F9, 3, 37) (dual of [(6462, 3), 19254, 38]-NRT-code) | [i] | ||
| 3 | Digital (95, 132, 6462)-net over F9 | [i] | ||
| 4 | Linear OOA(9132, 3286, F9, 2, 37) (dual of [(3286, 2), 6440, 38]-NRT-code) | [i] | OOA Folding | |