Information on Result #721772
Linear OA(1679, 255, F16, 44) (dual of [255, 176, 45]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−6,−5,…,37}, and designed minimum distance d ≥ |I|+1 = 45
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(1687, 282, F16, 44) (dual of [282, 195, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(1686, 280, F16, 44) (dual of [280, 194, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(1685, 277, F16, 44) (dual of [277, 192, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(1684, 274, F16, 44) (dual of [274, 190, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(1689, 277, F16, 46) (dual of [277, 188, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(1692, 280, F16, 47) (dual of [280, 188, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(1695, 283, F16, 48) (dual of [283, 188, 49]-code) | [i] | ✔ | |