Information on Result #689674
Linear OA(981, 6561, F9, 23) (dual of [6561, 6480, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(981, 4672, F9, 2, 23) (dual of [(4672, 2), 9263, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(981, 4672, F9, 3, 23) (dual of [(4672, 3), 13935, 24]-NRT-code) | [i] | ||
| 3 | Digital (58, 81, 4672)-net over F9 | [i] | ||
| 4 | Linear OA(985, 6565, F9, 24) (dual of [6565, 6480, 25]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(981, 6565, F9, 23) (dual of [6565, 6484, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(996, 6576, F9, 26) (dual of [6576, 6480, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(984, 6576, F9, 23) (dual of [6576, 6492, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(9103, 6583, F9, 28) (dual of [6583, 6480, 29]-code) | [i] | ✔ | |
| 9 | Linear OA(9108, 6588, F9, 29) (dual of [6588, 6480, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(988, 6588, F9, 23) (dual of [6588, 6500, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(9115, 6595, F9, 30) (dual of [6595, 6480, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(9121, 6601, F9, 31) (dual of [6601, 6480, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(9102, 6581, F9, 28) (dual of [6581, 6479, 29]-code) | [i] | ✔ | |
| 14 | Linear OA(9114, 6592, F9, 30) (dual of [6592, 6478, 31]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(9113, 6590, F9, 30) (dual of [6590, 6477, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(9110, 6592, F9, 29) (dual of [6592, 6482, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(9109, 6590, F9, 29) (dual of [6590, 6481, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(9102, 6579, F9, 28) (dual of [6579, 6477, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(995, 6572, F9, 26) (dual of [6572, 6477, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(989, 6590, F9, 23) (dual of [6590, 6501, 24]-code) | [i] | ✔ | |