Information on Result #629198
Linear OA(1654, 131072, F16, 14) (dual of [131072, 131018, 15]-code), using trace code based on linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
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(1661, 131089, F16, 14) (dual of [131089, 131028, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1662, 131096, F16, 14) (dual of [131096, 131034, 15]-code) | [i] | ||
| 3 | Linear OA(1663, 131105, F16, 14) (dual of [131105, 131042, 15]-code) | [i] | ||
| 4 | Linear OA(1664, 131110, F16, 14) (dual of [131110, 131046, 15]-code) | [i] | ||
| 5 | Linear OA(1665, 131123, F16, 14) (dual of [131123, 131058, 15]-code) | [i] | ||
| 6 | Linear OA(1665, 131084, F16, 14) (dual of [131084, 131019, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 7 | Linear OOA(1654, 73355, F16, 2, 14) (dual of [(73355, 2), 146656, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Digital (40, 54, 73355)-net over F16 | [i] | ||
| 9 | Linear OA(1663, 131082, F16, 14) (dual of [131082, 131019, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(1664, 131084, F16, 14) (dual of [131084, 131020, 15]-code) | [i] | ||
| 11 | Linear OA(1665, 131106, F16, 14) (dual of [131106, 131041, 15]-code) | [i] | ||