Information on Result #629191
Linear OA(1646, 131072, F16, 12) (dual of [131072, 131026, 13]-code), using trace code based on linear OA(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(1652, 131089, F16, 12) (dual of [131089, 131037, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1653, 131096, F16, 12) (dual of [131096, 131043, 13]-code) | [i] | ||
| 3 | Linear OA(1654, 131105, F16, 12) (dual of [131105, 131051, 13]-code) | [i] | ||
| 4 | Linear OA(1655, 131110, F16, 12) (dual of [131110, 131055, 13]-code) | [i] | ||
| 5 | Linear OOA(1646, 79141, F16, 2, 12) (dual of [(79141, 2), 158236, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (34, 46, 79141)-net over F16 | [i] | ||
| 7 | Linear OA(1655, 131082, F16, 12) (dual of [131082, 131027, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |