Information on Result #721699
Linear OA(1656, 255, F16, 30) (dual of [255, 199, 31]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {5,6,…,34}, and designed minimum distance d ≥ |I|+1 = 31
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 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(1667, 266, F16, 36) (dual of [266, 199, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(1670, 269, F16, 37) (dual of [269, 199, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(1673, 272, F16, 38) (dual of [272, 199, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(1676, 274, F16, 39) (dual of [274, 198, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(1676, 275, F16, 39) (dual of [275, 199, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(1679, 277, F16, 40) (dual of [277, 198, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(1679, 278, F16, 40) (dual of [278, 199, 41]-code) | [i] | ✔ | |