Information on Result #721997
Linear OA(16102, 255, F16, 59) (dual of [255, 153, 60]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−5,−4,…,53}, and designed minimum distance d ≥ |I|+1 = 60
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 Expurgated Narrow-Sense BCH-Codes [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(16117, 291, F16, 59) (dual of [291, 174, 60]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(16117, 292, F16, 59) (dual of [292, 175, 60]-code) | [i] | ✔ | |
| 3 | Linear OA(16116, 290, F16, 59) (dual of [290, 174, 60]-code) | [i] | ✔ | |
| 4 | Linear OA(16114, 285, F16, 59) (dual of [285, 171, 60]-code) | [i] | ✔ | |
| 5 | Linear OA(16113, 283, F16, 59) (dual of [283, 170, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(16109, 278, F16, 59) (dual of [278, 169, 60]-code) | [i] | ✔ | |
| 7 | Linear OA(16106, 271, F16, 59) (dual of [271, 165, 60]-code) | [i] | ✔ | |
| 8 | Linear OA(16108, 271, F16, 60) (dual of [271, 163, 61]-code) | [i] | ✔ | |