Information on Result #617576
Linear OA(2741, 730, F27, 21) (dual of [730, 689, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(2751, 758, F27, 21) (dual of [758, 707, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2752, 768, F27, 21) (dual of [768, 716, 22]-code) | [i] | ||
| 3 | Linear OA(2753, 778, F27, 21) (dual of [778, 725, 22]-code) | [i] | ||
| 4 | Linear OA(2754, 782, F27, 21) (dual of [782, 728, 22]-code) | [i] | ||
| 5 | Linear OA(2755, 794, F27, 21) (dual of [794, 739, 22]-code) | [i] | ||
| 6 | Linear OA(2756, 798, F27, 21) (dual of [798, 742, 22]-code) | [i] | ||
| 7 | Linear OA(2757, 806, F27, 21) (dual of [806, 749, 22]-code) | [i] | ||
| 8 | Linear OA(2758, 835, F27, 21) (dual of [835, 777, 22]-code) | [i] | ||
| 9 | Linear OA(2759, 913, F27, 21) (dual of [913, 854, 22]-code) | [i] | ||
| 10 | Linear OA(2757, 748, F27, 21) (dual of [748, 691, 22]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(2758, 786, F27, 21) (dual of [786, 728, 22]-code) | [i] | ||
| 12 | Linear OA(2759, 796, F27, 21) (dual of [796, 737, 22]-code) | [i] | ||
| 13 | Linear OA(2750, 740, F27, 21) (dual of [740, 690, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 14 | Linear OA(2746, 735, F27, 23) (dual of [735, 689, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(2742, 735, F27, 21) (dual of [735, 693, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(2752, 741, F27, 25) (dual of [741, 689, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(2744, 741, F27, 21) (dual of [741, 697, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(2758, 747, F27, 27) (dual of [747, 689, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(2746, 747, F27, 21) (dual of [747, 701, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(2764, 753, F27, 29) (dual of [753, 689, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(2748, 753, F27, 21) (dual of [753, 705, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(2770, 758, F27, 31) (dual of [758, 688, 32]-code) | [i] | ✔ | |
| 23 | Linear OA(2771, 760, F27, 31) (dual of [760, 689, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(2769, 758, F27, 30) (dual of [758, 689, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(2750, 758, F27, 21) (dual of [758, 708, 22]-code) | [i] | ✔ | |
| 26 | Linear OA(2751, 760, F27, 21) (dual of [760, 709, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(2749, 758, F27, 20) (dual of [758, 709, 21]-code) | [i] | ✔ | |
| 28 | Linear OA(2777, 766, F27, 33) (dual of [766, 689, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(2784, 773, F27, 35) (dual of [773, 689, 36]-code) | [i] | ✔ | |
| 30 | Linear OA(2782, 768, F27, 34) (dual of [768, 686, 35]-code) | [i] | ✔ | |
| 31 | Linear OA(2790, 778, F27, 37) (dual of [778, 688, 38]-code) | [i] | ✔ | |