Information on Result #547804

There is no linear OA(3174, 181, F3, 117) (dual of [181, 7, 118]-code), because construction Y1 would yield
  1. linear OA(3173, 178, F3, 117) (dual of [178, 5, 118]-code), but
  2. linear OA(37, 181, F3, 3) (dual of [181, 174, 4]-code or 181-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(3175, 185, F3, 117) (dual of [185, 10, 118]-code) [i]Construction Y1 (Bound)