MinT - Information on Result #549792

Information on Result #549792

There is no linear OOA(4³⁷, 46, F₄, 2, 28) (dual of [(46, 2), 55, 29]-NRT-code), because 1 times depth reduction would yield linear OA(4³⁷, 46, F₄, 28) (dual of [46, 9, 29]-code), but

constructionÂ Y1 [i] would yield
1. 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]
2. OA(4⁹, 46, S₄, 6), but
  - discarding factors would yield OA(4⁹, 40, S₄, 6), but
    - the Rao or (dual) Hamming bound shows that MÂ â‰¥ 273901 > 4⁹ [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.