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On Polynomial Functions over Finite Commutative Rings

✍ Scribed by Jian Jun Jiang; Guo Hua Peng; Qi Sun; Qi Fan Zhang

Publisher: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2006
Tongue: English
Weight: 119 KB
Volume: 22
Category: Article
ISSN: 1439-7617
DOI: 10.1007/s10114-005-0655-9

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Convolution algorithms for polynomial multiplication are well known, as is the use of Residue Number Systems and the Chinese Remainder Theorem. This paper discusses how these techniques may be used to perform polynomial arithmetic over very large rings or finite fields. The algorithm is practical an