Information on Result #812761
Linear OOA(343, 1093, F3, 2, 10) (dual of [(1093, 2), 2143, 11]-NRT-code), using OOA 2-folding based on linear OA(343, 2186, F3, 10) (dual of [2186, 2143, 11]-code), using
- discarding factors / shortening the dual code 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(3239, 4195394, F3, 2, 20) (dual of [(4195394, 2), 8390549, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(343, 1047, F3, 3, 10) (dual of [(1047, 3), 3098, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(343, 1047, F3, 4, 10) (dual of [(1047, 4), 4145, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(343, 1047, F3, 5, 10) (dual of [(1047, 5), 5192, 11]-NRT-code) | [i] | ||
| 5 | Digital (33, 43, 1047)-net over F3 | [i] | ||