Information on Result #617408
Linear OA(2713, 730, F27, 7) (dual of [730, 717, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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, 20414, F27, 15) (dual of [20414, 20358, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2770, 532172, F27, 15) (dual of [532172, 532102, 16]-code) | [i] | ||
| 3 | Linear OA(2716, 758, F27, 7) (dual of [758, 742, 8]-code) | [i] | ||
| 4 | Linear OA(2717, 1460, F27, 7) (dual of [1460, 1443, 8]-code) | [i] | ||
| 5 | Linear OA(2724, 19710, F27, 7) (dual of [19710, 19686, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 6 | Linear OA(2716, 734, F27, 7) (dual of [734, 718, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(2718, 735, F27, 9) (dual of [735, 717, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(2714, 735, F27, 7) (dual of [735, 721, 8]-code) | [i] | ✔ | |
| 9 | Linear OA(2724, 741, F27, 11) (dual of [741, 717, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(2730, 747, F27, 13) (dual of [747, 717, 14]-code) | [i] | ✔ | |
| 11 | Linear OOA(2713, 243, F27, 7, 7) (dual of [(243, 7), 1688, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |