Information on Result #662253
Linear OA(4244, 65556, F4, 38) (dual of [65556, 65312, 39]-code), using (u, u+v)-construction based on
- linear OA(419, 20, F4, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,4)), using
- dual of repetition code with length 20 [i]
- linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using
- an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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(4244, 55118, F4, 2, 38) (dual of [(55118, 2), 109992, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4244, 55118, F4, 3, 38) (dual of [(55118, 3), 165110, 39]-NRT-code) | [i] | ||
| 3 | Digital (206, 244, 55118)-net over F4 | [i] | ||