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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Parameter determination for complex number-theoretic transforms using cyclotomic polynomials


Authors: R. Creutzburg and M. Tasche
Journal: Math. Comp. 52 (1989), 189-200
MSC: Primary 11T06; Secondary 11A07, 11Y40, 65E05, 94A11
MathSciNet review: 946602
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Abstract: Some new results for finding all convenient moduli m for a complex number-theoretic transform with given transform length n and given primitive nth root of unity modulo m are presented. The main result is based on the prime factorization for values of cyclotomic polynomials in the ring of Gaussian integers.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1989-0946602-9
PII: S 0025-5718(1989)0946602-9
Keywords: Complex number-theoretic transform, complex pseudo Fermat number transform, complex pseudo Mersenne number transform, primitive root of unity modulo m, cyclotomic polynomial
Article copyright: © Copyright 1989 American Mathematical Society