Information on Result #547797

There is no linear OA(3161, 168, F3, 108) (dual of [168, 7, 109]-code), because construction Y1 would yield
  1. linear OA(3160, 165, F3, 108) (dual of [165, 5, 109]-code), but
  2. linear OA(37, 168, F3, 3) (dual of [168, 161, 4]-code or 168-cap in PG(6,3)), but

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(3162, 172, F3, 108) (dual of [172, 10, 109]-code) [i]Construction Y1 (Bound)