Information on Result #721873
Linear OA(1687, 255, F16, 51) (dual of [255, 168, 52]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(16107, 292, F16, 54) (dual of [292, 185, 55]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(16101, 282, F16, 53) (dual of [282, 181, 54]-code) | [i] | ✔ | |
| 3 | Linear OA(16104, 285, F16, 54) (dual of [285, 181, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(1698, 275, F16, 53) (dual of [275, 177, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(16107, 288, F16, 55) (dual of [288, 181, 56]-code) | [i] | ✔ | |
| 6 | Linear OA(16101, 278, F16, 54) (dual of [278, 177, 55]-code) | [i] | ✔ | |
| 7 | Linear OA(16110, 291, F16, 56) (dual of [291, 181, 57]-code) | [i] | ✔ | |
| 8 | Linear OA(16104, 281, F16, 55) (dual of [281, 177, 56]-code) | [i] | ✔ | |
| 9 | Linear OA(16113, 294, F16, 57) (dual of [294, 181, 58]-code) | [i] | ✔ | |
| 10 | Linear OA(16107, 284, F16, 56) (dual of [284, 177, 57]-code) | [i] | ✔ | |
| 11 | Linear OA(16110, 287, F16, 57) (dual of [287, 177, 58]-code) | [i] | ✔ | |
| 12 | Linear OA(16108, 276, F16, 59) (dual of [276, 168, 60]-code) | [i] | ✔ | |
| 13 | Linear OA(16115, 283, F16, 61) (dual of [283, 168, 62]-code) | [i] | ✔ | |
| 14 | Linear OA(16122, 290, F16, 63) (dual of [290, 168, 64]-code) | [i] | ✔ | |
| 15 | Linear OA(16111, 279, F16, 60) (dual of [279, 168, 61]-code) | [i] | ✔ | |
| 16 | Linear OA(16118, 286, F16, 62) (dual of [286, 168, 63]-code) | [i] | ✔ | |
| 17 | Linear OA(16125, 293, F16, 64) (dual of [293, 168, 65]-code) | [i] | ✔ | |
| 18 | Linear OA(16114, 282, F16, 61) (dual of [282, 168, 62]-code) | [i] | ✔ | |
| 19 | Linear OA(16121, 289, F16, 63) (dual of [289, 168, 64]-code) | [i] | ✔ | |
| 20 | Linear OA(16117, 285, F16, 62) (dual of [285, 168, 63]-code) | [i] | ✔ | |
| 21 | Linear OA(16124, 292, F16, 64) (dual of [292, 168, 65]-code) | [i] | ✔ | |
| 22 | Linear OA(16120, 288, F16, 63) (dual of [288, 168, 64]-code) | [i] | ✔ | |
| 23 | Linear OA(16127, 295, F16, 65) (dual of [295, 168, 66]-code) | [i] | ✔ | |