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Irreducible m-Term Polynomial and Its Application to Multiplication over GF(2m)
Yuko OZASA Masanori HIROTOMO Masakatu MORII
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E94-A
No.3
pp.1045-1048 Publication Date: 2011/03/01 Online ISSN: 1745-1337
DOI: 10.1587/transfun.E94.A.1045 Print ISSN: 0916-8508 Type of Manuscript: LETTER Category: General Fundamentals and Boundaries Keyword: finite field, multiplication, polynomial ring representation,
Full Text: PDF(85.4KB)>>
Summary:
In this paper, we present a specific type of irreducible polynomial which is an irreducible m-term polynomial of degree m. Designing the parallel multiplier over GF(2m) by the quadrinomial obtained from this irreducible polynomial, its critical delay path is smaller than that of conventional multipliers for some degree m.
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