Information on Result #722005
Linear OA(1696, 255, F16, 56) (dual of [255, 159, 57]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,55], and designed minimum distance d ≥ |I|+1 = 57
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(16110, 291, F16, 56) (dual of [291, 181, 57]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(16109, 289, F16, 56) (dual of [289, 180, 57]-code) | [i] | ✔ | |
| 3 | Linear OA(16107, 284, F16, 56) (dual of [284, 177, 57]-code) | [i] | ✔ | |
| 4 | Linear OA(16106, 282, F16, 56) (dual of [282, 176, 57]-code) | [i] | ✔ | |
| 5 | Linear OA(1698, 259, F16, 57) (dual of [259, 161, 58]-code) | [i] | ✔ | |
| 6 | Linear OA(16117, 285, F16, 62) (dual of [285, 168, 63]-code) | [i] | ✔ | |
| 7 | Linear OA(16101, 262, F16, 58) (dual of [262, 161, 59]-code) | [i] | ✔ | |
| 8 | Linear OA(16116, 283, F16, 62) (dual of [283, 167, 63]-code) | [i] | ✔ | |
| 9 | Linear OA(16104, 265, F16, 59) (dual of [265, 161, 60]-code) | [i] | ✔ | |
| 10 | Linear OA(16124, 292, F16, 64) (dual of [292, 168, 65]-code) | [i] | ✔ | |
| 11 | Linear OA(16115, 280, F16, 62) (dual of [280, 165, 63]-code) | [i] | ✔ | |
| 12 | Linear OA(16107, 268, F16, 60) (dual of [268, 161, 61]-code) | [i] | ✔ | |
| 13 | Linear OA(16123, 290, F16, 64) (dual of [290, 167, 65]-code) | [i] | ✔ | |
| 14 | Linear OA(16114, 277, F16, 62) (dual of [277, 163, 63]-code) | [i] | ✔ | |
| 15 | Linear OA(16110, 271, F16, 61) (dual of [271, 161, 62]-code) | [i] | ✔ | |
| 16 | Linear OA(16122, 287, F16, 64) (dual of [287, 165, 65]-code) | [i] | ✔ | |
| 17 | Linear OA(16113, 274, F16, 62) (dual of [274, 161, 63]-code) | [i] | ✔ | |
| 18 | Linear OA(16121, 284, F16, 64) (dual of [284, 163, 65]-code) | [i] | ✔ | |
| 19 | Linear OA(16117, 278, F16, 63) (dual of [278, 161, 64]-code) | [i] | ✔ | |
| 20 | Linear OA(16120, 281, F16, 64) (dual of [281, 161, 65]-code) | [i] | ✔ | |
| 21 | Linear OA(16100, 259, F16, 58) (dual of [259, 159, 59]-code) | [i] | ✔ | |
| 22 | Linear OA(16103, 262, F16, 59) (dual of [262, 159, 60]-code) | [i] | ✔ | |
| 23 | Linear OA(16106, 265, F16, 60) (dual of [265, 159, 61]-code) | [i] | ✔ | |
| 24 | Linear OA(16109, 268, F16, 61) (dual of [268, 159, 62]-code) | [i] | ✔ | |
| 25 | Linear OA(16112, 271, F16, 62) (dual of [271, 159, 63]-code) | [i] | ✔ | |
| 26 | Linear OA(16115, 274, F16, 63) (dual of [274, 159, 64]-code) | [i] | ✔ | |
| 27 | Linear OA(16119, 278, F16, 64) (dual of [278, 159, 65]-code) | [i] | ✔ | |
| 28 | Linear OA(16118, 277, F16, 64) (dual of [277, 159, 65]-code) | [i] | ✔ | |