Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Class of Optimal Frequency-Hopping Sequences by Polynomial Residue
  Class Rings   In this paper, using the theory of polynomial residue class rings, a new
construction is proposed for frequency hopping patterns having optimal Hamming
autocorrelation with respect to the well-known $Lempel$-$Greenberger$ bound.
Based on the proposed construction, many new $Peng$-$Fan$ optimal families of
frequency hopping sequences are obtained. The parameters of these sets of
frequency hopping sequences are new and flexible.

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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph