TR#: | CS0418 |
Class: | CS |
Title: | An Algorithm for Polynomial Multiplication which does not Depend on the Ring Constants |
Authors: | Michael Kaminski |
CS0418.pdf | |
Abstract: | We present an algrithm for computing the coefficients of the product of two polynomials of degree n over the ring, of integers in O(nlgn) multiplications. This algorithms relies on the Chinese Remainder Theorem, with cyclotomic polynomial presented as the moduli. The algorithm can be implemented over any ring and its implementation does not depend on the ring constants. |
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