Information on Result #547800

There is no linear OA(3165, 172, F3, 111) (dual of [172, 7, 112]-code), because construction Y1 would yield
  1. linear OA(3164, 169, F3, 111) (dual of [169, 5, 112]-code), but
  2. linear OA(37, 172, F3, 3) (dual of [172, 165, 4]-code or 172-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(3166, 176, F3, 111) (dual of [176, 10, 112]-code) [i]Construction Y1 (Bound)