Information on Result #726325
Linear OA(2770, 728, F27, 37) (dual of [728, 658, 38]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,35}, and designed minimum distance d ≥ |I|+1 = 38
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- 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(2789, 780, F27, 37) (dual of [780, 691, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2788, 778, F27, 37) (dual of [778, 690, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(2787, 776, F27, 37) (dual of [776, 689, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(2788, 780, F27, 37) (dual of [780, 692, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2787, 778, F27, 37) (dual of [778, 691, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2786, 776, F27, 37) (dual of [776, 690, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2785, 774, F27, 37) (dual of [774, 689, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(2770, 732, F27, 37) (dual of [732, 662, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(2772, 732, F27, 38) (dual of [732, 660, 39]-code) | [i] | ✔ | |