Information on Result #617525
Linear OA(2733, 730, F27, 17) (dual of [730, 697, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(2741, 758, F27, 17) (dual of [758, 717, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2742, 768, F27, 17) (dual of [768, 726, 18]-code) | [i] | ||
| 3 | Linear OA(2743, 778, F27, 17) (dual of [778, 735, 18]-code) | [i] | ||
| 4 | Linear OA(2744, 782, F27, 17) (dual of [782, 738, 18]-code) | [i] | ||
| 5 | Linear OA(2745, 794, F27, 17) (dual of [794, 749, 18]-code) | [i] | ||
| 6 | Linear OA(2746, 798, F27, 17) (dual of [798, 752, 18]-code) | [i] | ||
| 7 | Linear OA(2747, 913, F27, 17) (dual of [913, 866, 18]-code) | [i] | ||
| 8 | Linear OA(2745, 744, F27, 17) (dual of [744, 699, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(2746, 786, F27, 17) (dual of [786, 740, 18]-code) | [i] | ||
| 10 | Linear OA(2747, 796, F27, 17) (dual of [796, 749, 18]-code) | [i] | ||
| 11 | Linear OA(2740, 738, F27, 17) (dual of [738, 698, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 12 | Linear OA(2738, 735, F27, 19) (dual of [735, 697, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(2734, 735, F27, 17) (dual of [735, 701, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(2744, 741, F27, 21) (dual of [741, 697, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(2736, 741, F27, 17) (dual of [741, 705, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(2750, 747, F27, 23) (dual of [747, 697, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(2738, 747, F27, 17) (dual of [747, 709, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(2756, 753, F27, 25) (dual of [753, 697, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(2740, 753, F27, 17) (dual of [753, 713, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(2762, 758, F27, 27) (dual of [758, 696, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(2763, 760, F27, 27) (dual of [760, 697, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(2761, 758, F27, 26) (dual of [758, 697, 27]-code) | [i] | ✔ | |