MinT - Information on Result #576055

Information on Result #576055

There is no linear OOA(5³⁹, 61, F₅, 3, 31) (dual of [(61, 3), 144, 32]-NRT-code), because 1 times depth reduction would yield linear OOA(5³⁹, 61, F₅, 2, 31) (dual of [(61, 2), 83, 32]-NRT-code), but

1 step m-reduction [i] would yield linear OA(5³⁸, 61, F₅, 30) (dual of [61, 23, 31]-code), but
- constructionÂ Y1 [i] would yield
  1. linear OA(5³⁷, 43, F₅, 30) (dual of [43, 6, 31]-code), but
    - residual code [i] would yield linear OA(5⁷, 12, F₅, 6) (dual of [12, 5, 7]-code), but
      - a result by Dodunekov and Landjev [i]
  2. OA(5²³, 61, S₅, 18), but
    - the linear programming bound shows that MÂ â‰¥ 6321 833259 448409 889221 191406 250000 / 502952 782605 714137 > 5²³ [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.