Brent, RichardGaudry, PierrickZimmermann, Paul2015-12-07May 17-22http://hdl.handle.net/1885/22722In this paper, we discuss an implementation of various algorithms for multiplying polynomials in : variants of the window methods, Karatsuba's, Toom-Cook's, Schönhage's and Cantor's algorithms. For most of them, we propose improvements that lead to practKeywords: Algorithms; Polynomials; Cantor's algorithms; Window methods; Number theory200810.1007/978-3-540-79456-1_102015-12-07