Information on Result #662267
Linear OA(4235, 65555, F4, 37) (dual of [65555, 65320, 38]-code), using (u, u+v)-construction based on
- linear OA(418, 19, F4, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,4)), using
- dual of repetition code with length 19 [i]
- linear OA(4217, 65536, F4, 37) (dual of [65536, 65319, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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 OOA(4235, 49102, F4, 2, 37) (dual of [(49102, 2), 97969, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4235, 49102, F4, 3, 37) (dual of [(49102, 3), 147071, 38]-NRT-code) | [i] | ||
| 3 | Digital (198, 235, 49102)-net over F4 | [i] | ||