Information on Result #547781

There is no linear OA(3134, 141, F3, 90) (dual of [141, 7, 91]-code), because construction Y1 would yield
  1. linear OA(3133, 138, F3, 90) (dual of [138, 5, 91]-code), but
  2. linear OA(37, 141, F3, 3) (dual of [141, 134, 4]-code or 141-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(3135, 142, F3, 91) (dual of [142, 7, 92]-code) [i]Truncation
2No linear OA(3136, 143, F3, 92) (dual of [143, 7, 93]-code) [i]