Information on Result #721945
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 = {8,9,…,52}, 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 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1698, 275, F16, 53) (dual of [275, 177, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(1697, 273, F16, 53) (dual of [273, 176, 54]-code) | [i] | ✔ | |
| 3 | Linear OA(16105, 282, F16, 55) (dual of [282, 177, 56]-code) | [i] | ✔ | |
| 4 | Linear OA(16101, 277, F16, 54) (dual of [277, 176, 55]-code) | [i] | ✔ | |
| 5 | Linear OA(16104, 280, F16, 55) (dual of [280, 176, 56]-code) | [i] | ✔ | |
| 6 | Linear OA(16108, 284, F16, 56) (dual of [284, 176, 57]-code) | [i] | ✔ | |
| 7 | Linear OA(16111, 287, F16, 57) (dual of [287, 176, 58]-code) | [i] | ✔ | |