Information on Result #695595
Linear OA(2717, 729, F27, 9) (dual of [729, 712, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
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(2719, 731, F27, 10) (dual of [731, 712, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2717, 731, F27, 9) (dual of [731, 714, 10]-code) | [i] | ✔ | |
| 3 | Linear OA(2725, 737, F27, 12) (dual of [737, 712, 13]-code) | [i] | ✔ | |
| 4 | Linear OA(2719, 737, F27, 9) (dual of [737, 718, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(2731, 743, F27, 14) (dual of [743, 712, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(2737, 749, F27, 16) (dual of [749, 712, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(2743, 755, F27, 18) (dual of [755, 712, 19]-code) | [i] | ✔ | |
| 8 | Linear OOA(2717, 182, F27, 9, 9) (dual of [(182, 9), 1621, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |