MinT - Information on Result #574520

Information on Result #574520

There is no linear OOA(4²¹⁷, 217, F₄, 3, 165) (dual of [(217, 3), 434, 166]-NRT-code), because 1 times depth reduction would yield linear OOA(4²¹⁷, 217, F₄, 2, 165) (dual of [(217, 2), 217, 166]-NRT-code), but

5 step m-reduction [i] would yield linear OA(4²¹², 217, F₄, 160) (dual of [217, 5, 161]-code), but
- residual code [i] would yield linear OA(4⁵², 56, F₄, 40) (dual of [56, 4, 41]-code), but
  - a result by Hill and Landjev [i]
  - 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.