Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Smith normal form of a skew-symmetric D-optimal design of order
  $n\equiv 2\pmod{4}$   We show that the Smith normal form of a skew-symmetric D-optimal design of
order $n\equiv 2\pmod{4}$ is determined by its order. Furthermore, we show that
the Smith normal form of such a design can be written explicitly in terms of
the order $n$, thereby proving a recent conjecture of Armario. We apply our
result to show that certain D-optimal designs of order $n\equiv 2\pmod{4}$ are
not equivalent to any skew-symmetric D-optimal design. We also provide a
correction to a result in the literature on the Smith normal form of D-optimal
designs.

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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci