Information on Result #615915
Linear OA(9141, 6561, F9, 40) (dual of [6561, 6420, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40
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(9141, 6134, F9, 2, 40) (dual of [(6134, 2), 12127, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9141, 6134, F9, 3, 40) (dual of [(6134, 3), 18261, 41]-NRT-code) | [i] | ||
| 3 | Digital (101, 141, 6134)-net over F9 | [i] | ||
| 4 | Linear OA(9145, 6565, F9, 41) (dual of [6565, 6420, 42]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(9141, 6565, F9, 40) (dual of [6565, 6424, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(9150, 6570, F9, 42) (dual of [6570, 6420, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(9142, 6570, F9, 40) (dual of [6570, 6428, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(9144, 6576, F9, 40) (dual of [6576, 6432, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(9147, 6583, F9, 40) (dual of [6583, 6436, 41]-code) | [i] | ✔ | |
| 10 | Linear OA(9148, 6588, F9, 40) (dual of [6588, 6440, 41]-code) | [i] | ✔ | |
| 11 | Linear OA(9146, 6581, F9, 40) (dual of [6581, 6435, 41]-code) | [i] | ✔ | |
| 12 | Linear OA(9143, 6572, F9, 40) (dual of [6572, 6429, 41]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(9146, 6579, F9, 40) (dual of [6579, 6433, 41]-code) | [i] | ✔ | |
| 14 | Linear OA(9150, 6592, F9, 40) (dual of [6592, 6442, 41]-code) | [i] | ✔ | |
| 15 | Linear OA(9149, 6590, F9, 40) (dual of [6590, 6441, 41]-code) | [i] | ✔ | |