Information on Result #689671
Linear OA(989, 6561, F9, 25) (dual of [6561, 6472, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
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(989, 5264, F9, 2, 25) (dual of [(5264, 2), 10439, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(989, 5264, F9, 3, 25) (dual of [(5264, 3), 15703, 26]-NRT-code) | [i] | ||
| 3 | Digital (64, 89, 5264)-net over F9 | [i] | ||
| 4 | Linear OA(993, 6565, F9, 26) (dual of [6565, 6472, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(989, 6565, F9, 25) (dual of [6565, 6476, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(999, 6571, F9, 28) (dual of [6571, 6472, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(9105, 6577, F9, 29) (dual of [6577, 6472, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(992, 6576, F9, 25) (dual of [6576, 6484, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(9111, 6583, F9, 30) (dual of [6583, 6472, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(9116, 6588, F9, 31) (dual of [6588, 6472, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(995, 6587, F9, 25) (dual of [6587, 6492, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(9123, 6595, F9, 32) (dual of [6595, 6472, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(9129, 6601, F9, 33) (dual of [6601, 6472, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(9110, 6581, F9, 30) (dual of [6581, 6471, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(9122, 6592, F9, 32) (dual of [6592, 6470, 33]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(9121, 6590, F9, 32) (dual of [6590, 6469, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(9118, 6592, F9, 31) (dual of [6592, 6474, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(9117, 6590, F9, 31) (dual of [6590, 6473, 32]-code) | [i] | ✔ | |
| 19 | Linear OA(9110, 6579, F9, 30) (dual of [6579, 6469, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(9106, 6579, F9, 29) (dual of [6579, 6473, 30]-code) | [i] | ✔ | |