Information on Result #662058
Linear OA(348, 735, F3, 11) (dual of [735, 687, 12]-code), using (u, u+v)-construction based on
- linear OA(35, 6, F3, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,3)), using
- dual of repetition code with length 6 [i]
- linear OA(343, 729, F3, 11) (dual of [729, 686, 12]-code), using
- an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(348, 635, F3, 2, 11) (dual of [(635, 2), 1222, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(348, 635, F3, 3, 11) (dual of [(635, 3), 1857, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(348, 635, F3, 4, 11) (dual of [(635, 4), 2492, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(348, 635, F3, 5, 11) (dual of [(635, 5), 3127, 12]-NRT-code) | [i] | ||
| 5 | Digital (37, 48, 635)-net over F3 | [i] | ||