Information on Result #617466
Linear OA(2723, 729, F27, 12) (dual of [729, 706, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(2796, 20413, F27, 25) (dual of [20413, 20317, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2729, 757, F27, 12) (dual of [757, 728, 13]-code) | [i] | ||
| 3 | Linear OA(2730, 767, F27, 12) (dual of [767, 737, 13]-code) | [i] | ||
| 4 | Linear OA(2731, 777, F27, 12) (dual of [777, 746, 13]-code) | [i] | ||
| 5 | Linear OA(2732, 785, F27, 12) (dual of [785, 753, 13]-code) | [i] | ||
| 6 | Linear OA(2732, 739, F27, 12) (dual of [739, 707, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(2725, 731, F27, 13) (dual of [731, 706, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(2723, 731, F27, 12) (dual of [731, 708, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(2728, 734, F27, 14) (dual of [734, 706, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(2724, 734, F27, 12) (dual of [734, 710, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(2731, 737, F27, 15) (dual of [737, 706, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(2725, 737, F27, 12) (dual of [737, 712, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(2734, 740, F27, 16) (dual of [740, 706, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(2726, 740, F27, 12) (dual of [740, 714, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(2737, 743, F27, 17) (dual of [743, 706, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(2727, 743, F27, 12) (dual of [743, 716, 13]-code) | [i] | ✔ | |
| 17 | Linear OA(2740, 746, F27, 18) (dual of [746, 706, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(2728, 746, F27, 12) (dual of [746, 718, 13]-code) | [i] | ✔ | |
| 19 | Linear OA(2743, 749, F27, 19) (dual of [749, 706, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(2746, 752, F27, 20) (dual of [752, 706, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(2749, 755, F27, 21) (dual of [755, 706, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(2752, 757, F27, 22) (dual of [757, 705, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(2753, 759, F27, 22) (dual of [759, 706, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(2756, 762, F27, 23) (dual of [762, 706, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(2759, 765, F27, 24) (dual of [765, 706, 25]-code) | [i] | ✔ | |