Information on Result #616561
Linear OA(1677, 257, F16, 43) (dual of [257, 180, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (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(4154, 514, F4, 43) (dual of [514, 360, 44]-code) | [i] | Trace Code | |
| 2 | Linear OA(1697, 278, F16, 43) (dual of [278, 181, 44]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(1682, 262, F16, 45) (dual of [262, 180, 46]-code) | [i] | ✔ | |
| 4 | Linear OA(1678, 262, F16, 43) (dual of [262, 184, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(1688, 268, F16, 47) (dual of [268, 180, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(1680, 268, F16, 43) (dual of [268, 188, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(1694, 274, F16, 49) (dual of [274, 180, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(1682, 274, F16, 43) (dual of [274, 192, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(16101, 281, F16, 51) (dual of [281, 180, 52]-code) | [i] | ✔ | |
| 10 | Linear OA(1685, 281, F16, 43) (dual of [281, 196, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(1699, 276, F16, 50) (dual of [276, 177, 51]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 12 | Linear OA(1695, 276, F16, 48) (dual of [276, 181, 49]-code) | [i] | ✔ | |
| 13 | Linear OA(1683, 276, F16, 42) (dual of [276, 193, 43]-code) | [i] | ✔ | |