Information on Result #616539
Linear OA(1671, 256, F16, 40) (dual of [256, 185, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40
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(4142, 512, F4, 40) (dual of [512, 370, 41]-code) | [i] | Trace Code | |
| 2 | Linear OA(1673, 258, F16, 41) (dual of [258, 185, 42]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(1671, 258, F16, 40) (dual of [258, 187, 41]-code) | [i] | ✔ | |
| 4 | Linear OA(1676, 261, F16, 42) (dual of [261, 185, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(1672, 261, F16, 40) (dual of [261, 189, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(1679, 264, F16, 43) (dual of [264, 185, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(1673, 264, F16, 40) (dual of [264, 191, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(1682, 267, F16, 44) (dual of [267, 185, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(1674, 267, F16, 40) (dual of [267, 193, 41]-code) | [i] | ✔ | |
| 10 | Linear OA(1685, 270, F16, 45) (dual of [270, 185, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(1675, 270, F16, 40) (dual of [270, 195, 41]-code) | [i] | ✔ | |
| 12 | Linear OA(1688, 273, F16, 46) (dual of [273, 185, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(1676, 272, F16, 40) (dual of [272, 196, 41]-code) | [i] | ✔ | |
| 14 | Linear OA(1692, 277, F16, 47) (dual of [277, 185, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(1699, 284, F16, 51) (dual of [284, 185, 52]-code) | [i] | ✔ | |
| 16 | Linear OA(1696, 280, F16, 49) (dual of [280, 184, 50]-code) | [i] | ✔ | |
| 17 | Linear OA(1695, 280, F16, 48) (dual of [280, 185, 49]-code) | [i] | ✔ | |
| 18 | Linear OA(16101, 286, F16, 52) (dual of [286, 185, 53]-code) | [i] | ✔ | |
| 19 | Linear OA(16104, 289, F16, 53) (dual of [289, 185, 54]-code) | [i] | ✔ | |
| 20 | Linear OA(1697, 281, F16, 50) (dual of [281, 184, 51]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(1679, 276, F16, 40) (dual of [276, 197, 41]-code) | [i] | ✔ | |