Information on Result #812708
Linear OOA(342, 1093, F3, 2, 9) (dual of [(1093, 2), 2144, 10]-NRT-code), using OOA 2-folding based on linear OA(342, 2186, F3, 9) (dual of [2186, 2144, 10]-code), using
- 1 times truncation [i] based on linear OA(343, 2187, F3, 10) (dual of [2187, 2144, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(3222, 4195394, F3, 2, 18) (dual of [(4195394, 2), 8390566, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3223, 4195394, F3, 2, 19) (dual of [(4195394, 2), 8390565, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(342, 1093, F3, 3, 9) (dual of [(1093, 3), 3237, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(342, 1093, F3, 4, 9) (dual of [(1093, 4), 4330, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(342, 1093, F3, 5, 9) (dual of [(1093, 5), 5423, 10]-NRT-code) | [i] | ||
| 6 | Digital (33, 42, 1093)-net over F3 | [i] | ||