Information on Result #692548
Linear OA(16101, 257, F16, 55) (dual of [257, 156, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound)
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(16112, 268, F16, 59) (dual of [268, 156, 60]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(16104, 268, F16, 55) (dual of [268, 164, 56]-code) | [i] | ✔ | |
| 3 | Linear OA(16127, 281, F16, 69) (dual of [281, 154, 70]-code) | [i] | ✔ | |
| 4 | Linear OA(16128, 284, F16, 69) (dual of [284, 156, 70]-code) | [i] | ✔ | |
| 5 | Linear OA(16126, 281, F16, 68) (dual of [281, 155, 69]-code) | [i] | ✔ | |
| 6 | Linear OA(16125, 281, F16, 67) (dual of [281, 156, 68]-code) | [i] | ✔ | |
| 7 | Linear OA(16121, 274, F16, 64) (dual of [274, 153, 65]-code) | [i] | ✔ | |
| 8 | Linear OA(16120, 274, F16, 63) (dual of [274, 154, 64]-code) | [i] | ✔ | |
| 9 | Linear OA(16119, 274, F16, 62) (dual of [274, 155, 63]-code) | [i] | ✔ | |
| 10 | Linear OA(16118, 274, F16, 61) (dual of [274, 156, 62]-code) | [i] | ✔ | |
| 11 | Linear OA(16106, 274, F16, 55) (dual of [274, 168, 56]-code) | [i] | ✔ | |
| 12 | Linear OA(16109, 281, F16, 55) (dual of [281, 172, 56]-code) | [i] | ✔ | |
| 13 | Linear OA(16123, 276, F16, 66) (dual of [276, 153, 67]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 14 | Linear OA(16126, 283, F16, 66) (dual of [283, 157, 67]-code) | [i] | ✔ | |
| 15 | Linear OA(16119, 276, F16, 60) (dual of [276, 157, 61]-code) | [i] | ✔ | |
| 16 | Linear OA(16107, 276, F16, 54) (dual of [276, 169, 55]-code) | [i] | ✔ | |