Information on Result #629223
Linear OA(1686, 131072, F16, 22) (dual of [131072, 130986, 23]-code), using trace code based on linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(1697, 131089, F16, 22) (dual of [131089, 130992, 23]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1698, 131096, F16, 22) (dual of [131096, 130998, 23]-code) | [i] | ||
| 3 | Linear OA(1699, 131105, F16, 22) (dual of [131105, 131006, 23]-code) | [i] | ||
| 4 | Linear OA(16100, 131110, F16, 22) (dual of [131110, 131010, 23]-code) | [i] | ||
| 5 | Linear OOA(1686, 72554, F16, 2, 22) (dual of [(72554, 2), 145022, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (64, 86, 72554)-net over F16 | [i] | ||