Information on Result #662514
Linear OA(4114, 65546, F4, 18) (dual of [65546, 65432, 19]-code), using (u, u+v)-construction based on
- linear OA(49, 10, F4, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,4)), using
- dual of repetition code with length 10 [i]
- linear OA(4105, 65536, F4, 18) (dual of [65536, 65431, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, 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 OOA(4114, 40489, F4, 2, 18) (dual of [(40489, 2), 80864, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4114, 40489, F4, 3, 18) (dual of [(40489, 3), 121353, 19]-NRT-code) | [i] | ||
| 3 | Digital (96, 114, 40489)-net over F4 | [i] | ||