MinT - Information on Result #572782

Information on Result #572782

There is no linear OOA(4⁶⁴, 40, F₄, 3, 56) (dual of [(40, 3), 56, 57]-NRT-code), because 1 times depth reduction would yield linear OOA(4⁶⁴, 40, F₄, 2, 56) (dual of [(40, 2), 16, 57]-NRT-code), but

28 step m-reduction [i] would yield linear OA(4³⁶, 40, F₄, 28) (dual of [40, 4, 29]-code), but
- residual code [i] would yield linear OA(4⁸, 11, F₄, 7) (dual of [11, 3, 8]-code), but
  - improvement by Maruta on the Griesmer bound [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.