Information on Result #629188
Linear OA(1642, 131074, F16, 11) (dual of [131074, 131032, 12]-code), using trace code based on linear OA(25621, 65537, F256, 11) (dual of [65537, 65516, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [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(1647, 131091, F16, 11) (dual of [131091, 131044, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1648, 131098, F16, 11) (dual of [131098, 131050, 12]-code) | [i] | ||
| 3 | Linear OA(1649, 131315, F16, 11) (dual of [131315, 131266, 12]-code) | [i] | ||
| 4 | Linear OOA(1642, 84542, F16, 2, 11) (dual of [(84542, 2), 169042, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (31, 42, 84542)-net over F16 | [i] | ||
| 6 | Linear OA(1649, 131082, F16, 11) (dual of [131082, 131033, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(1650, 131108, F16, 11) (dual of [131108, 131058, 12]-code) | [i] | ||