Information on Result #629232
Linear OA(1698, 131074, F16, 25) (dual of [131074, 130976, 26]-code), using trace code based on linear OA(25649, 65537, F256, 25) (dual of [65537, 65488, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(16110, 131091, F16, 25) (dual of [131091, 130981, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(16111, 131098, F16, 25) (dual of [131098, 130987, 26]-code) | [i] | ||
| 3 | Linear OA(16112, 131107, F16, 25) (dual of [131107, 130995, 26]-code) | [i] | ||
| 4 | Linear OA(16113, 131112, F16, 25) (dual of [131112, 130999, 26]-code) | [i] | ||
| 5 | Linear OA(16114, 131119, F16, 25) (dual of [131119, 131005, 26]-code) | [i] | ||
| 6 | Linear OA(16115, 131123, F16, 25) (dual of [131123, 131008, 26]-code) | [i] | ||
| 7 | Linear OOA(1698, 75256, F16, 2, 25) (dual of [(75256, 2), 150414, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Digital (73, 98, 75256)-net over F16 | [i] | ||
| 9 | Linear OA(16115, 131092, F16, 25) (dual of [131092, 130977, 26]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OOA(1698, 10922, F16, 25, 25) (dual of [(10922, 25), 272952, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |