MinT - Information on Result #576765

Information on Result #576765

There is no linear OOA(7⁵⁷, 52, F₇, 3, 51) (dual of [(52, 3), 99, 52]-NRT-code), because 1 times depth reduction would yield linear OOA(7⁵⁷, 52, F₇, 2, 51) (dual of [(52, 2), 47, 52]-NRT-code), but

9 step m-reduction [i] would yield linear OA(7⁴⁸, 52, F₇, 42) (dual of [52, 4, 43]-code), but
- residual code [i] would yield linear OA(7⁶, 9, F₇, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,7)), but
  - bound for MDS codes [i]

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.

Other Results with Identical Parameters

None.

Depending Results

None.