Information on Result #661910
Linear OA(3194, 6579, F3, 34) (dual of [6579, 6385, 35]-code), using (u, u+v)-construction based on
- linear OA(317, 18, F3, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,3)), using
- dual of repetition code with length 18 [i]
- linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(3194, 4794, F3, 2, 34) (dual of [(4794, 2), 9394, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3194, 4794, F3, 3, 34) (dual of [(4794, 3), 14188, 35]-NRT-code) | [i] | ||
| 3 | Linear OOA(3194, 4794, F3, 4, 34) (dual of [(4794, 4), 18982, 35]-NRT-code) | [i] | ||
| 4 | Linear OOA(3194, 4794, F3, 5, 34) (dual of [(4794, 5), 23776, 35]-NRT-code) | [i] | ||
| 5 | Digital (160, 194, 4794)-net over F3 | [i] | ||