MinT - Information on Result #576670

Information on Result #576670

There is no linear OOA(7²⁸, 29, F₇, 3, 25) (dual of [(29, 3), 59, 26]-NRT-code), because 1 times depth reduction would yield linear OOA(7²⁸, 29, F₇, 2, 25) (dual of [(29, 2), 30, 26]-NRT-code), but

4 step m-reduction [i] would yield linear OA(7²⁴, 29, F₇, 21) (dual of [29, 5, 22]-code), but
- constructionÂ Y1 [i] would yield
  1. OA(7²³, 25, S₇, 21), but
    - the (dual) Plotkin bound shows that MÂ â‰¥ 383 162462 761132 828802 / 11 > 7²³ [i]
  2. OA(7⁵, 29, S₇, 4), but
    - the linear programming bound shows that MÂ â‰¥ 3 384381 / 197 > 7⁵ [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.