Information on Result #548634
There is no linear OA(77, 27, F7, 6) (dual of [27, 20, 7]-code), because construction Y1 would yield
- linear OA(76, 9, F7, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,7)), but
- linear OA(720, 27, F7, 18) (dual of [27, 7, 19]-code), but
- discarding factors / shortening the dual code would yield linear OA(720, 23, F7, 18) (dual of [23, 3, 19]-code), but
- “Hi4†bound on codes from Brouwer’s database [i]
- discarding factors / shortening the dual code would yield linear OA(720, 23, F7, 18) (dual of [23, 3, 19]-code), 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
None.