Information on Result #689657
Linear OA(9137, 6561, F9, 39) (dual of [6561, 6424, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(9137, 5871, F9, 2, 39) (dual of [(5871, 2), 11605, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9137, 5871, F9, 3, 39) (dual of [(5871, 3), 17476, 40]-NRT-code) | [i] | ||
| 3 | Digital (98, 137, 5871)-net over F9 | [i] | ||
| 4 | Linear OA(9141, 6565, F9, 40) (dual of [6565, 6424, 41]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(9137, 6565, F9, 39) (dual of [6565, 6428, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(9141, 6577, F9, 39) (dual of [6577, 6436, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(9143, 6583, F9, 39) (dual of [6583, 6440, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(9144, 6588, F9, 39) (dual of [6588, 6444, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(9147, 6595, F9, 39) (dual of [6595, 6448, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(9149, 6601, F9, 39) (dual of [6601, 6452, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(9142, 6581, F9, 39) (dual of [6581, 6439, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(9142, 6579, F9, 39) (dual of [6579, 6437, 40]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(9146, 6592, F9, 39) (dual of [6592, 6446, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(9145, 6590, F9, 39) (dual of [6590, 6445, 40]-code) | [i] | ✔ | |