MinT - Information on Result #576098

Information on Result #576098

There is no linear OOA(5⁴⁹, 39, F₅, 3, 43) (dual of [(39, 3), 68, 44]-NRT-code), because 1 times depth reduction would yield linear OOA(5⁴⁹, 39, F₅, 2, 43) (dual of [(39, 2), 29, 44]-NRT-code), but

18 step m-reduction [i] would yield linear OA(5³¹, 39, F₅, 25) (dual of [39, 8, 26]-code), but
- constructionÂ Y1 [i] would yield
  1. linear OA(5³⁰, 33, F₅, 25) (dual of [33, 3, 26]-code), but
    - Griesmer bound [i]
  2. OA(5⁸, 39, S₅, 6), but
    - discarding factors would yield OA(5⁸, 34, S₅, 6), but
      - the Rao or (dual) Hamming bound shows that MÂ â‰¥ 392089 > 5⁸ [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.