Information on Result #662241
Linear OA(4252, 65556, F4, 39) (dual of [65556, 65304, 40]-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(4233, 65536, F4, 39) (dual of [65536, 65303, 40]-code), using
- an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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(4252, 59268, F4, 2, 39) (dual of [(59268, 2), 118284, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4252, 59268, F4, 3, 39) (dual of [(59268, 3), 177552, 40]-NRT-code) | [i] | ||
| 3 | Digital (213, 252, 59268)-net over F4 | [i] | ||