Information on Result #548670

There is no linear OA(365, 73, F3, 44) (dual of [73, 8, 45]-code), because “LP” bound on codes from Brouwer’s database

Mode: Bound (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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No linear OOA(365, 73, F3, 2, 44) (dual of [(73, 2), 81, 45]-NRT-code) [i]Depth Reduction
2No linear OOA(365, 73, F3, 3, 44) (dual of [(73, 3), 154, 45]-NRT-code) [i]
3No linear OOA(365, 73, F3, 4, 44) (dual of [(73, 4), 227, 45]-NRT-code) [i]
4No linear OOA(365, 73, F3, 5, 44) (dual of [(73, 5), 300, 45]-NRT-code) [i]
5No digital (21, 65, 73)-net over F3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3197, 206, F3, 132) (dual of [206, 9, 133]-code) [i]Residual Code