Information on Result #725613
Linear OA(2711, 728, F27, 6) (dual of [728, 717, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2713, 732, F27, 7) (dual of [732, 719, 8]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2716, 735, F27, 8) (dual of [735, 719, 9]-code) | [i] | ✔ | |
| 3 | Linear OA(2719, 738, F27, 9) (dual of [738, 719, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(2722, 741, F27, 10) (dual of [741, 719, 11]-code) | [i] | ✔ | |
| 5 | Linear OA(2725, 744, F27, 11) (dual of [744, 719, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(2728, 747, F27, 12) (dual of [747, 719, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(2715, 732, F27, 8) (dual of [732, 717, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(2721, 738, F27, 10) (dual of [738, 717, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(2727, 744, F27, 12) (dual of [744, 717, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(2733, 750, F27, 14) (dual of [750, 717, 15]-code) | [i] | ✔ | |