Information on Result #661991
Linear OA(3102, 2198, F3, 20) (dual of [2198, 2096, 21]-code), using (u, u+v)-construction based on
- linear OA(310, 11, F3, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,3)), using
- dual of repetition code with length 11 [i]
- linear OA(392, 2187, F3, 20) (dual of [2187, 2095, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(3102, 1779, F3, 2, 20) (dual of [(1779, 2), 3456, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3102, 1779, F3, 3, 20) (dual of [(1779, 3), 5235, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(3102, 1779, F3, 4, 20) (dual of [(1779, 4), 7014, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(3102, 1779, F3, 5, 20) (dual of [(1779, 5), 8793, 21]-NRT-code) | [i] | ||
| 5 | Digital (82, 102, 1779)-net over F3 | [i] | ||