Information on Result #615904
Linear OA(9137, 6562, F9, 39) (dual of [6562, 6425, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound)
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(9146, 6571, F9, 41) (dual of [6571, 6425, 42]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(9138, 6571, F9, 39) (dual of [6571, 6433, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(9143, 6578, F9, 39) (dual of [6578, 6435, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(9144, 6585, F9, 39) (dual of [6585, 6441, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(9142, 6578, F9, 38) (dual of [6578, 6436, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(9147, 6590, F9, 39) (dual of [6590, 6443, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(9148, 6592, F9, 39) (dual of [6592, 6444, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(9149, 6598, F9, 39) (dual of [6598, 6449, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(9146, 6590, F9, 38) (dual of [6590, 6444, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(9147, 6596, F9, 38) (dual of [6596, 6449, 39]-code) | [i] | ✔ | |
| 11 | Linear OA(9148, 6574, F9, 41) (dual of [6574, 6426, 42]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 12 | Linear OA(9142, 6576, F9, 39) (dual of [6576, 6434, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(9146, 6588, F9, 39) (dual of [6588, 6442, 40]-code) | [i] | ✔ | |