An Alternate Construction of the Berlekamp Subalgebra

Greg Stein
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Greg Stein: City University of New York

A chapter in Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, 2002, pp 299-305 from Springer

Abstract: Abstract We give an alternate construction of the Berlekamp subalgebra for cyclotomic polynomials over finite fields. This gives a new, deterministic, polynomial time reduction of factoring these polynomials to knowing the trace of an appropriate root of unity.

Keywords: Finite Field; Zero Divisor; Coset Representative; Alternate Construction; Cyclotomic Polynomial (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59435-9_24

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DOI: 10.1007/978-3-642-59435-9_24

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