Information on Result #727127
Linear OA(2796, 728, F27, 50) (dual of [728, 632, 51]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−9,−8,…,40}, and designed minimum distance d ≥ |I|+1 = 51
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 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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(27110, 774, F27, 50) (dual of [774, 664, 51]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(27109, 771, F27, 50) (dual of [771, 662, 51]-code) | [i] | ✔ | |
| 3 | Linear OA(27108, 768, F27, 50) (dual of [768, 660, 51]-code) | [i] | ✔ | |
| 4 | Linear OA(27107, 765, F27, 50) (dual of [765, 658, 51]-code) | [i] | ✔ | |
| 5 | Linear OA(27106, 762, F27, 50) (dual of [762, 656, 51]-code) | [i] | ✔ | |
| 6 | Linear OA(27105, 759, F27, 50) (dual of [759, 654, 51]-code) | [i] | ✔ | |
| 7 | Linear OA(27104, 756, F27, 50) (dual of [756, 652, 51]-code) | [i] | ✔ | |
| 8 | Linear OA(27106, 756, F27, 51) (dual of [756, 650, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(27109, 759, F27, 52) (dual of [759, 650, 53]-code) | [i] | ✔ | |