Information on Result #616582
Linear OA(1681, 257, F16, 45) (dual of [257, 176, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (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(4162, 514, F4, 45) (dual of [514, 352, 46]-code) | [i] | Trace Code | |
| 2 | Linear OA(16102, 279, F16, 45) (dual of [279, 177, 46]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(1686, 262, F16, 47) (dual of [262, 176, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(1682, 262, F16, 45) (dual of [262, 180, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(1692, 268, F16, 49) (dual of [268, 176, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(1684, 268, F16, 45) (dual of [268, 184, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(1698, 274, F16, 51) (dual of [274, 176, 52]-code) | [i] | ✔ | |
| 8 | Linear OA(1686, 274, F16, 45) (dual of [274, 188, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(16105, 281, F16, 53) (dual of [281, 176, 54]-code) | [i] | ✔ | |
| 10 | Linear OA(1689, 281, F16, 45) (dual of [281, 192, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(16103, 276, F16, 52) (dual of [276, 173, 53]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 12 | Linear OA(1699, 276, F16, 50) (dual of [276, 177, 51]-code) | [i] | ✔ | |
| 13 | Linear OA(1687, 276, F16, 44) (dual of [276, 189, 45]-code) | [i] | ✔ | |