MinT - Information on Result #572956

Information on Result #572956

There is no linear OOA(4⁸⁵, 92, F₄, 3, 64) (dual of [(92, 3), 191, 65]-NRT-code), because 2 times depth reduction would yield linear OA(4⁸⁵, 92, F₄, 64) (dual of [92, 7, 65]-code), but

constructionÂ Y1 [i] would yield
1. linear OA(4⁸⁴, 88, F₄, 64) (dual of [88, 4, 65]-code), but
  - Griesmer bound [i]
2. OA(4⁷, 92, S₄, 4), but
  - discarding factors would yield OA(4⁷, 61, S₄, 4), but
    - the Rao or (dual) Hamming bound shows that MÂ â‰¥ 16654 > 4⁷ [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.