Information on Result #617550
Linear OA(2737, 730, F27, 19) (dual of [730, 693, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound)
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(2746, 758, F27, 19) (dual of [758, 712, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2747, 768, F27, 19) (dual of [768, 721, 20]-code) | [i] | ||
| 3 | Linear OA(2748, 778, F27, 19) (dual of [778, 730, 20]-code) | [i] | ||
| 4 | Linear OA(2749, 782, F27, 19) (dual of [782, 733, 20]-code) | [i] | ||
| 5 | Linear OA(2750, 794, F27, 19) (dual of [794, 744, 20]-code) | [i] | ||
| 6 | Linear OA(2751, 798, F27, 19) (dual of [798, 747, 20]-code) | [i] | ||
| 7 | Linear OA(2752, 835, F27, 19) (dual of [835, 783, 20]-code) | [i] | ||
| 8 | Linear OA(2753, 913, F27, 19) (dual of [913, 860, 20]-code) | [i] | ||
| 9 | Linear OA(2753, 748, F27, 19) (dual of [748, 695, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(2751, 746, F27, 19) (dual of [746, 695, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(2752, 786, F27, 19) (dual of [786, 734, 20]-code) | [i] | ||
| 12 | Linear OA(2753, 796, F27, 19) (dual of [796, 743, 20]-code) | [i] | ||
| 13 | Linear OA(2746, 740, F27, 19) (dual of [740, 694, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 14 | Linear OA(2742, 735, F27, 21) (dual of [735, 693, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(2738, 735, F27, 19) (dual of [735, 697, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(2748, 741, F27, 23) (dual of [741, 693, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(2740, 741, F27, 19) (dual of [741, 701, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(2754, 747, F27, 25) (dual of [747, 693, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(2742, 747, F27, 19) (dual of [747, 705, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(2760, 753, F27, 27) (dual of [753, 693, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(2744, 753, F27, 19) (dual of [753, 709, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(2766, 758, F27, 29) (dual of [758, 692, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(2767, 760, F27, 29) (dual of [760, 693, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(2765, 758, F27, 28) (dual of [758, 693, 29]-code) | [i] | ✔ | |
| 25 | Linear OA(2773, 766, F27, 31) (dual of [766, 693, 32]-code) | [i] | ✔ | |