Information on Result #616624
Linear OA(1690, 256, F16, 53) (dual of [256, 166, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53
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(4180, 512, F4, 53) (dual of [512, 332, 54]-code) | [i] | Trace Code | |
| 2 | Linear OA(1692, 258, F16, 54) (dual of [258, 166, 55]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(1690, 258, F16, 53) (dual of [258, 168, 54]-code) | [i] | ✔ | |
| 4 | Linear OA(1695, 261, F16, 55) (dual of [261, 166, 56]-code) | [i] | ✔ | |
| 5 | Linear OA(1691, 260, F16, 53) (dual of [260, 169, 54]-code) | [i] | ✔ | |
| 6 | Linear OA(1698, 264, F16, 56) (dual of [264, 166, 57]-code) | [i] | ✔ | |
| 7 | Linear OA(1695, 266, F16, 53) (dual of [266, 171, 54]-code) | [i] | ✔ | |
| 8 | Linear OA(16101, 267, F16, 57) (dual of [267, 166, 58]-code) | [i] | ✔ | |
| 9 | Linear OA(1696, 269, F16, 53) (dual of [269, 173, 54]-code) | [i] | ✔ | |
| 10 | Linear OA(16104, 270, F16, 58) (dual of [270, 166, 59]-code) | [i] | ✔ | |
| 11 | Linear OA(1697, 272, F16, 53) (dual of [272, 175, 54]-code) | [i] | ✔ | |
| 12 | Linear OA(16107, 273, F16, 59) (dual of [273, 166, 60]-code) | [i] | ✔ | |
| 13 | Linear OA(1699, 276, F16, 53) (dual of [276, 177, 54]-code) | [i] | ✔ | |
| 14 | Linear OA(16111, 277, F16, 60) (dual of [277, 166, 61]-code) | [i] | ✔ | |
| 15 | Linear OA(16100, 279, F16, 53) (dual of [279, 179, 54]-code) | [i] | ✔ | |
| 16 | Linear OA(16114, 280, F16, 61) (dual of [280, 166, 62]-code) | [i] | ✔ | |
| 17 | Linear OA(16102, 283, F16, 53) (dual of [283, 181, 54]-code) | [i] | ✔ | |
| 18 | Linear OA(16118, 284, F16, 62) (dual of [284, 166, 63]-code) | [i] | ✔ | |
| 19 | Linear OA(16103, 286, F16, 53) (dual of [286, 183, 54]-code) | [i] | ✔ | |
| 20 | Linear OA(16121, 287, F16, 63) (dual of [287, 166, 64]-code) | [i] | ✔ | |
| 21 | Linear OA(16104, 289, F16, 53) (dual of [289, 185, 54]-code) | [i] | ✔ | |
| 22 | Linear OA(16129, 294, F16, 68) (dual of [294, 165, 69]-code) | [i] | ✔ | |
| 23 | Linear OA(16130, 296, F16, 68) (dual of [296, 166, 69]-code) | [i] | ✔ | |
| 24 | Linear OA(16128, 294, F16, 67) (dual of [294, 166, 68]-code) | [i] | ✔ | |
| 25 | Linear OA(16124, 289, F16, 64) (dual of [289, 165, 65]-code) | [i] | ✔ | |
| 26 | Linear OA(1698, 274, F16, 53) (dual of [274, 176, 54]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 27 | Linear OA(16101, 281, F16, 53) (dual of [281, 180, 54]-code) | [i] | ✔ | |