Information on Result #629185
Linear OA(1638, 131072, F16, 10) (dual of [131072, 131034, 11]-code), using trace code based on linear OA(25619, 65536, F256, 10) (dual of [65536, 65517, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(1643, 131089, F16, 10) (dual of [131089, 131046, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1644, 131096, F16, 10) (dual of [131096, 131052, 11]-code) | [i] | ||
| 3 | Linear OA(1645, 131313, F16, 10) (dual of [131313, 131268, 11]-code) | [i] | ||
| 4 | Linear OOA(1638, 93033, F16, 2, 10) (dual of [(93033, 2), 186028, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (28, 38, 93033)-net over F16 | [i] | ||
| 6 | Linear OA(1645, 131080, F16, 10) (dual of [131080, 131035, 11]-code) | [i] | (u, u−v, u+v+w)-Construction | |