Finite Fields and Quadratic Residues
Part of the Graduate Texts in Mathematics book series (GTM, volume 114)
In this chapter we shall assume familiarity with the basic definitions and properties of a field. We now briefly recall what we need.
KeywordsNonzero Element Finite Field Irreducible Polynomial Splitting Field Quadratic Residue
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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- 1.L. Adleman, K. Manders, and G. Miller, “On taking roots in finite fields,” Proc. 20th Annual Symposium on the Foundations of Computer Science (1979), 175–178.Google Scholar
- 3.I. Blake, X. Gao, A. Menezes, R. Mullen, S. Vanstone, and T. Yaghoobi-an, Applications of Finite Fields, Kluwer Acad. Publ., 1992.Google Scholar
- 4.C. F. Gauss, Disquisitiones Arithmeticae, Yale Univ. Press, 1966.Google Scholar
- 5.E. Grosswald, Topics from the Theory of Numbers, 2nd ed., Birkhauser, 1984.Google Scholar
- 6.I. N. Herstein, Topics in Algebra, 2nd ed., Wiley, 1975.Google Scholar
- 7.K. Ireland and M. I. Rosen, A Classical Introduction to Modern Number Theory, 2nd ed., Springer-Verlag, 1990.Google Scholar
- 8.S. Lang, Algebra, 2nd ed., Addison-Wesley, 1984.Google Scholar
- 9.R. Lidl and H. Niederreiter, Introduction to Finite Fields and Their Applications, Cambridge Univ. Press, 1986.Google Scholar
- 10.V. Pless, Introduction to the Theory of Error-Correcting Codes, Wiley, 1982.Google Scholar
- 11.D. Shanks, Solved and Unsolved Problems in Number Theory, 3rd ed., Chelsea Publ. Co., 1985.Google Scholar
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