Information on Result #721791
Linear OA(1681, 255, F16, 45) (dual of [255, 174, 46]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−6,−5,…,38}, and designed minimum distance d ≥ |I|+1 = 46
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 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1689, 283, F16, 45) (dual of [283, 194, 46]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(1688, 280, F16, 45) (dual of [280, 192, 46]-code) | [i] | ✔ | |
| 3 | Linear OA(1687, 277, F16, 45) (dual of [277, 190, 46]-code) | [i] | ✔ | |
| 4 | Linear OA(1688, 274, F16, 46) (dual of [274, 186, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(1691, 277, F16, 47) (dual of [277, 186, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(1694, 280, F16, 48) (dual of [280, 186, 49]-code) | [i] | ✔ | |
| 7 | Linear OA(1697, 283, F16, 49) (dual of [283, 186, 50]-code) | [i] | ✔ | |