Information on Result #662294
Linear OA(4218, 65554, F4, 34) (dual of [65554, 65336, 35]-code), using (u, u+v)-construction based on
- linear OA(417, 18, F4, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,4)), using
- dual of repetition code with length 18 [i]
- linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(4218, 51554, F4, 2, 34) (dual of [(51554, 2), 102890, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4218, 51554, F4, 3, 34) (dual of [(51554, 3), 154444, 35]-NRT-code) | [i] | ||
| 3 | Digital (184, 218, 51554)-net over F4 | [i] | ||