MinT - Information on Result #576066

Information on Result #576066

There is no linear OOA(5⁴², 52, F₅, 3, 34) (dual of [(52, 3), 114, 35]-NRT-code), because 1 times depth reduction would yield linear OOA(5⁴², 52, F₅, 2, 34) (dual of [(52, 2), 62, 35]-NRT-code), but

1 step m-reduction [i] would yield linear OA(5⁴¹, 52, F₅, 33) (dual of [52, 11, 34]-code), but
- constructionÂ Y1 [i] would yield
  1. linear OA(5⁴⁰, 44, F₅, 33) (dual of [44, 4, 34]-code), but
    - a result by Boukliev, Kapralov, Maruta, and Fukui [i]
  2. OA(5¹¹, 52, S₅, 8), but
    - discarding factors would yield OA(5¹¹, 48, S₅, 8), but
      - the Rao or (dual) Hamming bound shows that MÂ â‰¥ 50 937665 > 5¹¹ [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.