Information on Result #547733

There is no linear OA(317, 22, F3, 12) (dual of [22, 5, 13]-code), because construction Y1 would yield
  1. linear OA(316, 19, F3, 12) (dual of [19, 3, 13]-code), but
  2. linear OA(35, 22, F3, 3) (dual of [22, 17, 4]-code or 22-cap in PG(4,3)), 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(318, 31, F3, 12) (dual of [31, 13, 13]-code) [i]Construction Y1 (Bound)