Information on Result #722310
Linear OA(16102, 255, F16, 59) (dual of [255, 153, 60]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,58], and designed minimum distance d ≥ |I|+1 = 60
Mode: Constructive and linear.
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 BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(16124, 289, F16, 65) (dual of [289, 165, 66]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(16104, 259, F16, 60) (dual of [259, 155, 61]-code) | [i] | ✔ | |
| 3 | Linear OA(16123, 286, F16, 65) (dual of [286, 163, 66]-code) | [i] | ✔ | |
| 4 | Linear OA(16107, 262, F16, 61) (dual of [262, 155, 62]-code) | [i] | ✔ | |
| 5 | Linear OA(16122, 283, F16, 65) (dual of [283, 161, 66]-code) | [i] | ✔ | |
| 6 | Linear OA(16110, 265, F16, 62) (dual of [265, 155, 63]-code) | [i] | ✔ | |
| 7 | Linear OA(16113, 268, F16, 63) (dual of [268, 155, 64]-code) | [i] | ✔ | |
| 8 | Linear OA(16116, 271, F16, 64) (dual of [271, 155, 65]-code) | [i] | ✔ | |
| 9 | Linear OA(16106, 259, F16, 61) (dual of [259, 153, 62]-code) | [i] | ✔ | |
| 10 | Linear OA(16109, 262, F16, 62) (dual of [262, 153, 63]-code) | [i] | ✔ | |
| 11 | Linear OA(16112, 265, F16, 63) (dual of [265, 153, 64]-code) | [i] | ✔ | |
| 12 | Linear OA(16115, 268, F16, 64) (dual of [268, 153, 65]-code) | [i] | ✔ | |