Information on Result #661981
Linear OA(3110, 2199, F3, 22) (dual of [2199, 2089, 23]-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(399, 2187, F3, 22) (dual of [2187, 2088, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(3110, 1636, F3, 2, 22) (dual of [(1636, 2), 3162, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3110, 1636, F3, 3, 22) (dual of [(1636, 3), 4798, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(3110, 1636, F3, 4, 22) (dual of [(1636, 4), 6434, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(3110, 1636, F3, 5, 22) (dual of [(1636, 5), 8070, 23]-NRT-code) | [i] | ||
| 5 | Digital (88, 110, 1636)-net over F3 | [i] | ||