Information on Result #547942

There is no linear OA(599, 104, F5, 80) (dual of [104, 5, 81]-code), because construction Y1 would yield
  1. linear OA(598, 101, F5, 80) (dual of [101, 3, 81]-code), but
  2. linear OA(55, 104, F5, 3) (dual of [104, 99, 4]-code or 104-cap in PG(4,5)), 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(5100, 105, F5, 81) (dual of [105, 5, 82]-code) [i]Truncation
2No linear OA(5101, 106, F5, 82) (dual of [106, 5, 83]-code) [i]