Information on Result #619936

Linear OA(3243, 9841, F3, 41) (dual of [9841, 9598, 42]-code), using the BCH-code C(I) with length 9841 | 39−1, defining interval I = {1,3,5,…,81}, and designed minimum distance d ≥ |I|+1 = 42

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:

ResultThis
result
only
Method
1Linear OOA(3243, 6993, F3, 2, 41) (dual of [(6993, 2), 13743, 42]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3243, 6993, F3, 3, 41) (dual of [(6993, 3), 20736, 42]-NRT-code) [i]
3Linear OOA(3243, 6993, F3, 4, 41) (dual of [(6993, 4), 27729, 42]-NRT-code) [i]
4Linear OOA(3243, 6993, F3, 5, 41) (dual of [(6993, 5), 34722, 42]-NRT-code) [i]
5Digital (202, 243, 6993)-net over F3 [i]
6Linear OOA(3243, 4920, F3, 2, 41) (dual of [(4920, 2), 9597, 42]-NRT-code) [i]OOA Folding
7Linear OOA(3243, 3280, F3, 3, 41) (dual of [(3280, 3), 9597, 42]-NRT-code) [i]
8Linear OOA(3243, 2460, F3, 4, 41) (dual of [(2460, 4), 9597, 42]-NRT-code) [i]
9Linear OOA(3243, 1968, F3, 5, 41) (dual of [(1968, 5), 9597, 42]-NRT-code) [i]