Information on Result #617420
Linear OA(2715, 729, F27, 8) (dual of [729, 714, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
Mode: Constructive and linear.
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(2764, 20413, F27, 17) (dual of [20413, 20349, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2780, 532171, F27, 17) (dual of [532171, 532091, 18]-code) | [i] | ||
| 3 | Linear OA(2719, 757, F27, 8) (dual of [757, 738, 9]-code) | [i] | ||
| 4 | Linear OA(2720, 767, F27, 8) (dual of [767, 747, 9]-code) | [i] | ||
| 5 | Linear OA(2717, 731, F27, 9) (dual of [731, 714, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(2715, 731, F27, 8) (dual of [731, 716, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(2720, 734, F27, 10) (dual of [734, 714, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(2716, 734, F27, 8) (dual of [734, 718, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(2723, 737, F27, 11) (dual of [737, 714, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(2717, 737, F27, 8) (dual of [737, 720, 9]-code) | [i] | ✔ | |
| 11 | Linear OA(2726, 740, F27, 12) (dual of [740, 714, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(2718, 740, F27, 8) (dual of [740, 722, 9]-code) | [i] | ✔ | |
| 13 | Linear OA(2729, 743, F27, 13) (dual of [743, 714, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(2732, 746, F27, 14) (dual of [746, 714, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(2735, 749, F27, 15) (dual of [749, 714, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(2738, 752, F27, 16) (dual of [752, 714, 17]-code) | [i] | ✔ | |