Information on Result #548669

There is no linear OA(353, 69, F3, 35) (dual of [69, 16, 36]-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(353, 69, F3, 2, 35) (dual of [(69, 2), 85, 36]-NRT-code) [i]Depth Reduction
2No linear OOA(353, 69, F3, 3, 35) (dual of [(69, 3), 154, 36]-NRT-code) [i]
3No linear OOA(353, 69, F3, 4, 35) (dual of [(69, 4), 223, 36]-NRT-code) [i]
4No linear OOA(353, 69, F3, 5, 35) (dual of [(69, 5), 292, 36]-NRT-code) [i]
5No digital (18, 53, 69)-net over F3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3158, 175, F3, 105) (dual of [175, 17, 106]-code) [i]Residual Code