Information on Result #548288

There is no linear OA(935, 38, F9, 32) (dual of [38, 3, 33]-code), because “Mas” 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(936, 39, F9, 33) (dual of [39, 3, 34]-code) [i]Truncation
2No linear OA(937, 40, F9, 34) (dual of [40, 3, 35]-code) [i]
3No linear OA(938, 41, F9, 35) (dual of [41, 3, 36]-code) [i]
4No linear OOA(970, 38, F9, 2, 67) (dual of [(38, 2), 6, 68]-NRT-code) [i]m-Reduction for OOAs
5No linear OOA(971, 38, F9, 2, 68) (dual of [(38, 2), 5, 69]-NRT-code) [i]
6No linear OOA(972, 38, F9, 2, 69) (dual of [(38, 2), 4, 70]-NRT-code) [i]
7No linear OOA(973, 38, F9, 2, 70) (dual of [(38, 2), 3, 71]-NRT-code) [i]
8No linear OOA(9108, 38, F9, 3, 105) (dual of [(38, 3), 6, 106]-NRT-code) [i]
9No linear OOA(9109, 38, F9, 3, 106) (dual of [(38, 3), 5, 107]-NRT-code) [i]
10No linear OOA(9110, 38, F9, 3, 107) (dual of [(38, 3), 4, 108]-NRT-code) [i]
11No linear OOA(9111, 38, F9, 3, 108) (dual of [(38, 3), 3, 109]-NRT-code) [i]
12No linear OOA(935, 38, F9, 2, 32) (dual of [(38, 2), 41, 33]-NRT-code) [i]Depth Reduction
13No linear OA(936, 50, F9, 32) (dual of [50, 14, 33]-code) [i]Construction Y1 (Bound)