Results 41 to 50 of about 160 (120)
Euler products, cyclotomy, and coding
Journal of Number Theory, 1972 AbstractWe present a familiar manipulation of Euler products and L-series, and derive a recent theorem of Carlitz and an old theorem of Davenport-Hasse. We then show that the theorem of Davenport-Hasse can be used to shed considerable light on certain questions about “irreducible cyclic codes,” and the cyclotomy of finite fields, including some recent ...
McEliece, Robert J, Rumsey, Howard
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The effects of chronic estradiol treatment on opioid self-administration in intact female rats. [PDF]
Drug Alcohol Depend, 2021 Sharp JL +5 more
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A note on difference families from cyclotomy
Discrete Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cyclotomy Primality Proofs and their Certificates
, 2007 The first efficient general primality proving method was proposed in the year 1980 by Adleman, Pomerance and Rumely and it used Jacobi sums. The method was further developed by H. W. Lenstra Jr. and more of his students and the resulting primality proving algorithms are often referred to under the generic name of Cyclotomy Primality Proving (CPP).
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Cyclotomy ve Şifrelemedeki Bazı Uygulamaları
, 2021 Cyclotomic numbers are quite useful algebraic arguments in cryptology. However calculation of these numbers in terms of the definition is getting harder while parameters are getting larger. Some of the properties of cyclotomic numbers provide to express them in terms of Diophant equations.
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The cyclotomy of Kloosterman sums [PDF]
Acta Arithmetica, 1967 Lehmer, D. H., Lehmer, Emma
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Mixed cyclotomy, prime-power circulants, and cyclotomy modulo p = ef+1 for composite e
Journal of Number Theory, 1969 AbstractAn explicit formula for the cyclotomic numbers modulo prime p ≡ 1 (mod ee′) is given in terms of the cyclotomic numbers for p, e and p, e′, and the mixed cyclotomic numbers p,(e′, e) when g.c.d. (e, e′) = 1. The derivation of this formula depends upon the invertibility of the circulant coefficient matrix of a system of linear equations ...
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ON THE USE OF ABSTRACT ALGEBRA AS A METHOD FOR OBTAINING RESULTS INVOLVING RATIONAL INTEGERS ONLY AND THE REVERSE OF THIS PROCEDURE. [PDF]
Proc Natl Acad Sci U S A, 1960 Vandiver HS.
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A Summary of New Results Concerning the Solutions of Equations in Finite Fields. [PDF]
Proc Natl Acad Sci U S A, 1951 Faircloth OB.
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