Information on Result #721954
Linear OA(1696, 255, F16, 56) (dual of [255, 159, 57]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−4,−3,…,51}, and designed minimum distance d ≥ |I|+1 = 57
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(16111, 287, F16, 57) (dual of [287, 176, 58]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(16115, 291, F16, 58) (dual of [291, 176, 59]-code) | [i] | ✔ | |
| 3 | Linear OA(16110, 284, F16, 57) (dual of [284, 174, 58]-code) | [i] | ✔ | |
| 4 | Linear OA(16114, 290, F16, 58) (dual of [290, 176, 59]-code) | [i] | ✔ | |
| 5 | Linear OA(16108, 280, F16, 57) (dual of [280, 172, 58]-code) | [i] | ✔ | |
| 6 | Linear OA(16117, 293, F16, 59) (dual of [293, 176, 60]-code) | [i] | ✔ | |
| 7 | Linear OA(16111, 283, F16, 58) (dual of [283, 172, 59]-code) | [i] | ✔ | |
| 8 | Linear OA(16114, 286, F16, 59) (dual of [286, 172, 60]-code) | [i] | ✔ | |
| 9 | Linear OA(16117, 289, F16, 60) (dual of [289, 172, 61]-code) | [i] | ✔ | |
| 10 | Linear OA(16120, 292, F16, 61) (dual of [292, 172, 62]-code) | [i] | ✔ | |
| 11 | Linear OA(16123, 295, F16, 62) (dual of [295, 172, 63]-code) | [i] | ✔ | |
| 12 | Linear OA(16101, 268, F16, 57) (dual of [268, 167, 58]-code) | [i] | ✔ | |