Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Ramp Schemes and Related Combinatorial Objects   In 1996, Jackson and Martin proved that a strong ideal ramp scheme is
equivalent to an orthogonal array. However, there was no good characterization
of ideal ramp schemes that are not strong. Here we show the equivalence of
ideal ramp schemes to a new variant of orthogonal arrays that we term augmented
orthogonal arrays. We give some constructions for these new kinds of arrays,
and, as a consequence, we also provide parameter situations where ideal ramp
schemes exist but strong ideal ramp schemes do not exist.

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The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
37
The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org