Information on Result #629211
Linear OA(1670, 131072, F16, 18) (dual of [131072, 131002, 19]-code), using trace code based on linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(1679, 131089, F16, 18) (dual of [131089, 131010, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1680, 131096, F16, 18) (dual of [131096, 131016, 19]-code) | [i] | ||
| 3 | Linear OOA(1670, 70659, F16, 2, 18) (dual of [(70659, 2), 141248, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (52, 70, 70659)-net over F16 | [i] | ||