CMU-CS-97-136
Computer Science Department
School of Computer Science, Carnegie Mellon University
CMU-CS-97-136
Factoring Polynomials Modulo Composites
Adam R. Klivans
May 1997
Submitted in partial fulfillment of the requirements for the degree of
Master of Science (Honors Degree Program)
Department of Mathematics, Carnegie Mellon University.
CMU-CS-97-136.ps
CMU-CS-97-136title2.ps
Keywords: Computational algebra, circuit complexity theory, factoring
polynomials
Motivated by questions in circuit complexity, this paper characterizes
all the factorizations of a polynomial with coefficients in the ring
Zn where n is a composite number. We give
algorithms to compute such factorizations along with the algebraic
classifications.
38 pages
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