Information on Result #727161
Linear OA(2798, 728, F27, 51) (dual of [728, 630, 52]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−9,−8,…,41}, and designed minimum distance d ≥ |I|+1 = 52
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(27110, 768, F27, 51) (dual of [768, 658, 52]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(27109, 765, F27, 51) (dual of [765, 656, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(27108, 762, F27, 51) (dual of [762, 654, 52]-code) | [i] | ✔ | |
| 4 | Linear OA(27107, 759, F27, 51) (dual of [759, 652, 52]-code) | [i] | ✔ | |
| 5 | Linear OA(27106, 756, F27, 51) (dual of [756, 650, 52]-code) | [i] | ✔ | |
| 6 | Linear OA(27108, 756, F27, 52) (dual of [756, 648, 53]-code) | [i] | ✔ | |