Quartics over $\textrm {GF}(2^{n})$
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- by Philip A. Leonard and Kenneth S. Williams PDF
- Proc. Amer. Math. Soc. 36 (1972), 347-350 Request permission
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.References
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E. R. Berlekamp, H. Rumsey and G. Solomon, Solutions of algebraic equations in fields of characteristic 2, Jet Propulsion Lab. Space Programs Summary 4 (1966), 37-39.
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- Philip A. Leonard, On factoring quartics $(\textrm {mod}\ p)$, J. Number Theory 1 (1969), 113β115. MR 237469, DOI 10.1016/0022-314X(69)90029-8
- Th. Skolem, The general congruence of the 4th degree modulo $p$, $p$ prime, Norsk Mat. Tidsskr. 34 (1952), 73β80. MR 50603
Additional Information
- © Copyright 1972 American Mathematical Society
- 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