Information on Result #616642
Linear OA(16102, 256, F16, 59) (dual of [256, 154, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4204, 512, F4, 59) (dual of [512, 308, 60]-code) | [i] | Trace Code | |
| 2 | Linear OA(16104, 258, F16, 60) (dual of [258, 154, 61]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(16102, 258, F16, 59) (dual of [258, 156, 60]-code) | [i] | ✔ | |
| 4 | Linear OA(16107, 261, F16, 61) (dual of [261, 154, 62]-code) | [i] | ✔ | |
| 5 | Linear OA(16103, 261, F16, 59) (dual of [261, 158, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(16110, 264, F16, 62) (dual of [264, 154, 63]-code) | [i] | ✔ | |
| 7 | Linear OA(16104, 264, F16, 59) (dual of [264, 160, 60]-code) | [i] | ✔ | |
| 8 | Linear OA(16113, 267, F16, 63) (dual of [267, 154, 64]-code) | [i] | ✔ | |
| 9 | Linear OA(16105, 267, F16, 59) (dual of [267, 162, 60]-code) | [i] | ✔ | |
| 10 | Linear OA(16120, 273, F16, 68) (dual of [273, 153, 69]-code) | [i] | ✔ | |
| 11 | Linear OA(16121, 275, F16, 68) (dual of [275, 154, 69]-code) | [i] | ✔ | |
| 12 | Linear OA(16119, 273, F16, 67) (dual of [273, 154, 68]-code) | [i] | ✔ | |
| 13 | Linear OA(16106, 270, F16, 59) (dual of [270, 164, 60]-code) | [i] | ✔ | |
| 14 | Linear OA(16123, 277, F16, 69) (dual of [277, 154, 70]-code) | [i] | ✔ | |
| 15 | Linear OA(16107, 273, F16, 59) (dual of [273, 166, 60]-code) | [i] | ✔ | |
| 16 | Linear OA(16126, 280, F16, 70) (dual of [280, 154, 71]-code) | [i] | ✔ | |
| 17 | Linear OA(16109, 277, F16, 59) (dual of [277, 168, 60]-code) | [i] | ✔ | |
| 18 | Linear OA(16130, 284, F16, 71) (dual of [284, 154, 72]-code) | [i] | ✔ | |
| 19 | Linear OA(16110, 279, F16, 59) (dual of [279, 169, 60]-code) | [i] | ✔ | |
| 20 | Linear OA(16115, 286, F16, 59) (dual of [286, 171, 60]-code) | [i] | ✔ | |
| 21 | Linear OA(16116, 289, F16, 59) (dual of [289, 173, 60]-code) | [i] | ✔ | |
| 22 | Linear OA(16119, 274, F16, 66) (dual of [274, 155, 67]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(16114, 284, F16, 59) (dual of [284, 170, 60]-code) | [i] | ✔ | |