Information on Result #548223

There is no linear OA(363, 69, F3, 43) (dual of [69, 6, 44]-code), because “Ma” 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 OA(364, 70, F3, 44) (dual of [70, 6, 45]-code) [i]Truncation
2No linear OOA(363, 69, F3, 2, 43) (dual of [(69, 2), 75, 44]-NRT-code) [i]Depth Reduction
3No linear OOA(363, 69, F3, 3, 43) (dual of [(69, 3), 144, 44]-NRT-code) [i]
4No linear OOA(363, 69, F3, 4, 43) (dual of [(69, 4), 213, 44]-NRT-code) [i]
5No linear OOA(363, 69, F3, 5, 43) (dual of [(69, 5), 282, 44]-NRT-code) [i]
6No linear OA(3192, 199, F3, 129) (dual of [199, 7, 130]-code) [i]Residual Code