Information on Result #725587
Linear OA(275, 728, F27, 3) (dual of [728, 723, 4]-code or 728-cap in PG(4,27)), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 4
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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(277, 732, F27, 4) (dual of [732, 725, 5]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2713, 738, F27, 6) (dual of [738, 725, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(279, 732, F27, 5) (dual of [732, 723, 6]-code) | [i] | ✔ | |
| 4 | Linear OA(2712, 735, F27, 6) (dual of [735, 723, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(2715, 738, F27, 7) (dual of [738, 723, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(2718, 741, F27, 8) (dual of [741, 723, 9]-code) | [i] | ✔ | |