Information on Result #661891
Linear OA(3245, 19703, F3, 38) (dual of [19703, 19458, 39]-code), using (u, u+v)-construction based on
- linear OA(319, 20, F3, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,3)), using
- dual of repetition code with length 20 [i]
- linear OA(3226, 19683, F3, 38) (dual of [19683, 19457, 39]-code), using
- an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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(3245, 12198, F3, 2, 38) (dual of [(12198, 2), 24151, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3245, 12198, F3, 3, 38) (dual of [(12198, 3), 36349, 39]-NRT-code) | [i] | ||
| 3 | Linear OOA(3245, 12198, F3, 4, 38) (dual of [(12198, 4), 48547, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(3245, 12198, F3, 5, 38) (dual of [(12198, 5), 60745, 39]-NRT-code) | [i] | ||
| 5 | Digital (207, 245, 12198)-net over F3 | [i] | ||