Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Hadamard full propelinear codes   Codes from generalized Hadamard matrices have already been introduced. Here
we deal with these codes when the generalized Hadamard matrices are cocyclic.
As a consequence, a new class of codes that we call generalized Hadamard full
propelinear codes turns out. We prove that their existence is equivalent to the
existence of central relative $(v,w,v,v/w)$-difference sets. Moreover, some
structural properties of these codes are studied and examples are provided.

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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: quant-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
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th