Information on Result #629229
Linear OA(1694, 131072, F16, 24) (dual of [131072, 130978, 25]-code), using trace code based on linear OA(25647, 65536, F256, 24) (dual of [65536, 65489, 25]-code), using
- an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(16106, 131089, F16, 24) (dual of [131089, 130983, 25]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(16107, 131096, F16, 24) (dual of [131096, 130989, 25]-code) | [i] | ||
| 3 | Linear OA(16108, 131105, F16, 24) (dual of [131105, 130997, 25]-code) | [i] | ||
| 4 | Linear OA(16109, 131110, F16, 24) (dual of [131110, 131001, 25]-code) | [i] | ||
| 5 | Linear OA(16110, 131117, F16, 24) (dual of [131117, 131007, 25]-code) | [i] | ||
| 6 | Linear OOA(1694, 74274, F16, 2, 24) (dual of [(74274, 2), 148454, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Digital (70, 94, 74274)-net over F16 | [i] | ||