Information on Result #617609
Linear OA(2745, 730, F27, 23) (dual of [730, 685, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(2756, 758, F27, 23) (dual of [758, 702, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2757, 768, F27, 23) (dual of [768, 711, 24]-code) | [i] | ||
| 3 | Linear OA(2758, 778, F27, 23) (dual of [778, 720, 24]-code) | [i] | ||
| 4 | Linear OA(2759, 782, F27, 23) (dual of [782, 723, 24]-code) | [i] | ||
| 5 | Linear OA(2760, 794, F27, 23) (dual of [794, 734, 24]-code) | [i] | ||
| 6 | Linear OA(2761, 798, F27, 23) (dual of [798, 737, 24]-code) | [i] | ||
| 7 | Linear OA(2762, 806, F27, 23) (dual of [806, 744, 24]-code) | [i] | ||
| 8 | Linear OA(2763, 812, F27, 23) (dual of [812, 749, 24]-code) | [i] | ||
| 9 | Linear OA(2764, 835, F27, 23) (dual of [835, 771, 24]-code) | [i] | ||
| 10 | Linear OA(2765, 913, F27, 23) (dual of [913, 848, 24]-code) | [i] | ||
| 11 | Linear OA(2764, 751, F27, 23) (dual of [751, 687, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(2765, 754, F27, 23) (dual of [754, 689, 24]-code) | [i] | ||
| 13 | Linear OA(2761, 748, F27, 23) (dual of [748, 687, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 14 | Linear OA(2762, 750, F27, 23) (dual of [750, 688, 24]-code) | [i] | ||
| 15 | Linear OA(2763, 786, F27, 23) (dual of [786, 723, 24]-code) | [i] | ||
| 16 | Linear OA(2764, 796, F27, 23) (dual of [796, 732, 24]-code) | [i] | ||
| 17 | Linear OA(2765, 806, F27, 23) (dual of [806, 741, 24]-code) | [i] | ||
| 18 | Linear OA(2756, 742, F27, 23) (dual of [742, 686, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 19 | Linear OA(2750, 735, F27, 25) (dual of [735, 685, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(2746, 735, F27, 23) (dual of [735, 689, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(2756, 741, F27, 27) (dual of [741, 685, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(2748, 741, F27, 23) (dual of [741, 693, 24]-code) | [i] | ✔ | |
| 23 | Linear OA(2762, 747, F27, 29) (dual of [747, 685, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(2750, 747, F27, 23) (dual of [747, 697, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(2768, 753, F27, 31) (dual of [753, 685, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(2752, 753, F27, 23) (dual of [753, 701, 24]-code) | [i] | ✔ | |
| 27 | Linear OA(2774, 758, F27, 33) (dual of [758, 684, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(2775, 760, F27, 33) (dual of [760, 685, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(2773, 758, F27, 32) (dual of [758, 685, 33]-code) | [i] | ✔ | |
| 30 | Linear OA(2754, 758, F27, 23) (dual of [758, 704, 24]-code) | [i] | ✔ | |
| 31 | Linear OA(2755, 760, F27, 23) (dual of [760, 705, 24]-code) | [i] | ✔ | |
| 32 | Linear OA(2753, 758, F27, 22) (dual of [758, 705, 23]-code) | [i] | ✔ | |
| 33 | Linear OA(2781, 766, F27, 35) (dual of [766, 685, 36]-code) | [i] | ✔ | |
| 34 | Linear OA(2788, 773, F27, 37) (dual of [773, 685, 38]-code) | [i] | ✔ | |
| 35 | Linear OA(2786, 768, F27, 36) (dual of [768, 682, 37]-code) | [i] | ✔ | |
| 36 | Linear OA(2794, 778, F27, 39) (dual of [778, 684, 40]-code) | [i] | ✔ | |
| 37 | Linear OA(2795, 780, F27, 39) (dual of [780, 685, 40]-code) | [i] | ✔ | |
| 38 | Linear OA(2793, 778, F27, 38) (dual of [778, 685, 39]-code) | [i] | ✔ | |