Information on Result #615891
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)
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(9128, 6561, F9, 36) (dual of [6561, 6433, 37]-code) | [i] | Truncation | |
| 2 | Linear OA(9147, 6581, F9, 37) (dual of [6581, 6434, 38]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(9138, 6571, F9, 39) (dual of [6571, 6433, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(9130, 6571, F9, 35) (dual of [6571, 6441, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(9132, 6572, F9, 37) (dual of [6572, 6440, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(9133, 6574, F9, 37) (dual of [6574, 6441, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(9131, 6572, F9, 36) (dual of [6572, 6441, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(9149, 6582, F9, 41) (dual of [6582, 6433, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(9135, 6578, F9, 37) (dual of [6578, 6443, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(9136, 6585, F9, 37) (dual of [6585, 6449, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(9134, 6578, F9, 36) (dual of [6578, 6444, 37]-code) | [i] | ✔ | |
| 12 | Linear OA(9133, 6582, F9, 35) (dual of [6582, 6449, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(9139, 6590, F9, 37) (dual of [6590, 6451, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(9140, 6592, F9, 37) (dual of [6592, 6452, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(9141, 6598, F9, 37) (dual of [6598, 6457, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(9138, 6590, F9, 36) (dual of [6590, 6452, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(9139, 6596, F9, 36) (dual of [6596, 6457, 37]-code) | [i] | ✔ | |
| 18 | Linear OA(9136, 6593, F9, 35) (dual of [6593, 6457, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(9144, 6602, F9, 37) (dual of [6602, 6458, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(9145, 6610, F9, 37) (dual of [6610, 6465, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(9148, 6574, F9, 41) (dual of [6574, 6426, 42]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 22 | Linear OA(9142, 6576, F9, 39) (dual of [6576, 6434, 40]-code) | [i] | ✔ | |
| 23 | Linear OA(9132, 6574, F9, 35) (dual of [6574, 6442, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(9138, 6588, F9, 37) (dual of [6588, 6450, 38]-code) | [i] | ✔ | |
| 25 | Linear OA(9135, 6585, F9, 35) (dual of [6585, 6450, 36]-code) | [i] | ✔ | |
| 26 | Linear OOA(9129, 3281, F9, 2, 37) (dual of [(3281, 2), 6433, 38]-NRT-code) | [i] | OOA Folding | |