Information on Result #619935
Linear OA(3234, 9841, F3, 40) (dual of [9841, 9607, 41]-code), using the BCH-code C(I) with length 9841 | 39−1, defining interval I = {1,782,1563,…,937}, and designed minimum distance d ≥ |I|+1 = 41
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 OA(3233, 9840, F3, 39) (dual of [9840, 9607, 40]-code) | [i] | Truncation | |
2 | Linear OOA(3234, 6292, F3, 2, 40) (dual of [(6292, 2), 12350, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
3 | Linear OOA(3234, 6292, F3, 3, 40) (dual of [(6292, 3), 18642, 41]-NRT-code) | [i] | ||
4 | Linear OOA(3234, 6292, F3, 4, 40) (dual of [(6292, 4), 24934, 41]-NRT-code) | [i] | ||
5 | Linear OOA(3234, 6292, F3, 5, 40) (dual of [(6292, 5), 31226, 41]-NRT-code) | [i] | ||
6 | Digital (194, 234, 6292)-net over F3 | [i] | ||
7 | Linear OOA(3234, 4920, F3, 2, 40) (dual of [(4920, 2), 9606, 41]-NRT-code) | [i] | OOA Folding | |
8 | Linear OOA(3234, 3280, F3, 3, 40) (dual of [(3280, 3), 9606, 41]-NRT-code) | [i] | ||
9 | Linear OOA(3234, 2460, F3, 4, 40) (dual of [(2460, 4), 9606, 41]-NRT-code) | [i] | ||
10 | Linear OOA(3234, 1968, F3, 5, 40) (dual of [(1968, 5), 9606, 41]-NRT-code) | [i] |