Information on Result #695592
Linear OA(2721, 729, F27, 11) (dual of [729, 708, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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 OA(2723, 731, F27, 12) (dual of [731, 708, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2721, 731, F27, 11) (dual of [731, 710, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(2729, 737, F27, 14) (dual of [737, 708, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(2723, 737, F27, 11) (dual of [737, 714, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(2735, 743, F27, 16) (dual of [743, 708, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(2725, 743, F27, 11) (dual of [743, 718, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(2741, 749, F27, 18) (dual of [749, 708, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(2747, 755, F27, 20) (dual of [755, 708, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(2754, 762, F27, 22) (dual of [762, 708, 23]-code) | [i] | ✔ | |