MinT - Information on Result #576708

Information on Result #576708

There is no linear OOA(7⁴², 66, F₇, 3, 36) (dual of [(66, 3), 156, 37]-NRT-code), because 1 times depth reduction would yield linear OOA(7⁴², 66, F₇, 2, 36) (dual of [(66, 2), 90, 37]-NRT-code), but

1 step m-reduction [i] would yield linear OA(7⁴¹, 66, F₇, 35) (dual of [66, 25, 36]-code), but
- residual code [i] would yield OA(7⁶, 30, S₇, 5), but
  - 1 times truncation [i] would yield OA(7⁵, 29, S₇, 4), but
    - the linear programming bound shows that MÂ â‰¥ 3 384381 / 197 > 7⁵ [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.