Information on Result #629201
Linear OA(1658, 131074, F16, 15) (dual of [131074, 131016, 16]-code), using trace code based on linear OA(25629, 65537, F256, 15) (dual of [65537, 65508, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(1665, 131091, F16, 15) (dual of [131091, 131026, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1666, 131098, F16, 15) (dual of [131098, 131032, 16]-code) | [i] | ||
| 3 | Linear OA(1667, 131107, F16, 15) (dual of [131107, 131040, 16]-code) | [i] | ||
| 4 | Linear OA(1668, 131112, F16, 15) (dual of [131112, 131044, 16]-code) | [i] | ||
| 5 | Linear OA(1669, 131125, F16, 15) (dual of [131125, 131056, 16]-code) | [i] | ||
| 6 | Linear OA(1670, 131159, F16, 15) (dual of [131159, 131089, 16]-code) | [i] | ||
| 7 | Linear OA(1669, 131086, F16, 15) (dual of [131086, 131017, 16]-code) | [i] | Generalized (u, u+v)-Construction | |
| 8 | Linear OOA(1658, 71925, F16, 2, 15) (dual of [(71925, 2), 143792, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 9 | Digital (43, 58, 71925)-net over F16 | [i] | ||
| 10 | Linear OA(1670, 131108, F16, 15) (dual of [131108, 131038, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |