Information on Result #661955
Linear OA(3133, 2201, F3, 26) (dual of [2201, 2068, 27]-code), using (u, u+v)-construction based on
- linear OA(313, 14, F3, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,3)), using
- dual of repetition code with length 14 [i]
- linear OA(3120, 2187, F3, 26) (dual of [2187, 2067, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(3133, 2041, F3, 2, 26) (dual of [(2041, 2), 3949, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3133, 2041, F3, 3, 26) (dual of [(2041, 3), 5990, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(3133, 2041, F3, 4, 26) (dual of [(2041, 4), 8031, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(3133, 2041, F3, 5, 26) (dual of [(2041, 5), 10072, 27]-NRT-code) | [i] | ||
| 5 | Digital (107, 133, 2041)-net over F3 | [i] | ||