Information on Result #726413
Linear OA(2772, 728, F27, 38) (dual of [728, 656, 39]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−8,−7,…,29}, and designed minimum distance d ≥ |I|+1 = 39
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2794, 788, F27, 38) (dual of [788, 694, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2783, 760, F27, 38) (dual of [760, 677, 39]-code) | [i] | ✔ | |
| 3 | Linear OA(2779, 753, F27, 38) (dual of [753, 674, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(2781, 753, F27, 39) (dual of [753, 672, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(2796, 770, F27, 43) (dual of [770, 674, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(2799, 773, F27, 44) (dual of [773, 674, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(27102, 776, F27, 45) (dual of [776, 674, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(27105, 779, F27, 46) (dual of [779, 674, 47]-code) | [i] | ✔ | |
| 9 | Linear OA(27109, 784, F27, 47) (dual of [784, 675, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(27108, 782, F27, 47) (dual of [782, 674, 48]-code) | [i] | ✔ | |