Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Number-theoretic transforms of prescribed length


Authors: R. Creutzburg and M. Tasche
Journal: Math. Comp. 47 (1986), 693-701
MSC: Primary 94A11; Secondary 11T21, 11Y16
MathSciNet review: 856713
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A new constructive method for finding all convenient moduli m for a number-theoretic transform with given length N and given primitive Nth root of unity modulo m is presented. This method is based on the prime factorization of cyclotomic polynomials with integer-valued argument or on the primitive divisors of integers. Many known results can be obtained as simple corollaries.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 94A11, 11T21, 11Y16

Retrieve articles in all journals with MSC: 94A11, 11T21, 11Y16


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1986-0856713-1
PII: S 0025-5718(1986)0856713-1
Keywords: Number-theoretic transform, primitive root of unity modulo m, primitive divisor, cyclotomic polynomial
Article copyright: © Copyright 1986 American Mathematical Society