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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Quartics over $ {\rm GF}(2\sp{n})$


Authors: Philip A. Leonard and Kenneth S. Williams
Journal: Proc. Amer. Math. Soc. 36 (1972), 347-350
MSC: Primary 12C05
DOI: https://doi.org/10.1090/S0002-9939-1972-0308088-6
MathSciNet review: 0308088
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Abstract: A description of the factorization of a quartic polynomial over the field $ {\text{GF}}({2^n})$ is given in terms of the roots of a related cubic.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0308088-6
Keywords: Quartic polynomial, cubic polynomial, factorization, $ {\text{GF}}({2^n})$
Article copyright: © Copyright 1972 American Mathematical Society