Information on Result #661965
Linear OA(3117, 2199, F3, 23) (dual of [2199, 2082, 24]-code), using (u, u+v)-construction based on
- linear OA(311, 12, F3, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,3)), using
- dual of repetition code with length 12 [i]
- linear OA(3106, 2187, F3, 23) (dual of [2187, 2081, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(3117, 1855, F3, 2, 23) (dual of [(1855, 2), 3593, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3117, 1855, F3, 3, 23) (dual of [(1855, 3), 5448, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(3117, 1855, F3, 4, 23) (dual of [(1855, 4), 7303, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(3117, 1855, F3, 5, 23) (dual of [(1855, 5), 9158, 24]-NRT-code) | [i] | ||
| 5 | Digital (94, 117, 1855)-net over F3 | [i] | ||