Information on Result #617453
Linear OA(2721, 730, F27, 11) (dual of [730, 709, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(2788, 20414, F27, 23) (dual of [20414, 20326, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(27110, 532172, F27, 23) (dual of [532172, 532062, 24]-code) | [i] | ||
| 3 | Linear OA(2726, 758, F27, 11) (dual of [758, 732, 12]-code) | [i] | ||
| 4 | Linear OA(2727, 768, F27, 11) (dual of [768, 741, 12]-code) | [i] | ||
| 5 | Linear OA(2728, 1433, F27, 11) (dual of [1433, 1405, 12]-code) | [i] | ||
| 6 | Linear OA(2729, 786, F27, 11) (dual of [786, 757, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(2726, 736, F27, 11) (dual of [736, 710, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(2726, 735, F27, 13) (dual of [735, 709, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(2722, 735, F27, 11) (dual of [735, 713, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(2732, 741, F27, 15) (dual of [741, 709, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(2724, 741, F27, 11) (dual of [741, 717, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(2738, 747, F27, 17) (dual of [747, 709, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(2744, 753, F27, 19) (dual of [753, 709, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(2750, 758, F27, 21) (dual of [758, 708, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(2751, 760, F27, 21) (dual of [760, 709, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(2749, 758, F27, 20) (dual of [758, 709, 21]-code) | [i] | ✔ | |