MinT - Information on Result #599915

Information on Result #599915

There is no digital (1, 24, 114)-net over F₂₅, because extracting embedded orthogonal array would yield linear OA(25²⁴, 114, F₂₅, 23) (dual of [114, 90, 24]-code), but

constructionÂ Y1 [i] would yield
1. linear OA(25²³, 27, F₂₅, 23) (dual of [27, 4, 24]-code or 27-arc in PG(22,25)), but
  - bound for MDS codes [i]
2. OA(25⁹⁰, 114, S₂₅, 87), but
  - discarding factors would yield OA(25⁹⁰, 96, S₂₅, 87), but
    - the linear programming bound shows that MÂ â‰¥ 13 668865 221078 739256 015071 809629 879850 936124 576679 322503 501034 318504 064092 312472 780759 593604 486823 448240 784273 366443 812847 137451 171875 / 20 559539 > 25⁹⁰ [i]

Mode: Bound (linear).

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.