Information on Result #616608
Linear OA(1689, 257, F16, 49) (dual of [257, 168, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (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, 281, F16, 49) (dual of [281, 169, 50]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(1690, 262, F16, 49) (dual of [262, 172, 50]-code) | [i] | ✔ | |
| 3 | Linear OA(16100, 268, F16, 53) (dual of [268, 168, 54]-code) | [i] | ✔ | |
| 4 | Linear OA(1692, 268, F16, 49) (dual of [268, 176, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(16106, 274, F16, 55) (dual of [274, 168, 56]-code) | [i] | ✔ | |
| 6 | Linear OA(1694, 274, F16, 49) (dual of [274, 180, 50]-code) | [i] | ✔ | |
| 7 | Linear OA(16113, 281, F16, 57) (dual of [281, 168, 58]-code) | [i] | ✔ | |
| 8 | Linear OA(1697, 281, F16, 49) (dual of [281, 184, 50]-code) | [i] | ✔ | |
| 9 | Linear OA(16111, 276, F16, 56) (dual of [276, 165, 57]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 10 | Linear OA(16107, 276, F16, 54) (dual of [276, 169, 55]-code) | [i] | ✔ | |
| 11 | Linear OA(1695, 276, F16, 48) (dual of [276, 181, 49]-code) | [i] | ✔ | |