Finite fields and polynomial congruences
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The subjects covered in this chapter, that is to say, finite fields and the law of quadratic reciprocity, are both a natural development of notions seen in the previous chapters and important in their own right. However they are mostly significant in connection with some of their applications, for instance to cryptography and codes, to the problem of factoring integers and to primality tests, as we shall see in the next chapters.
KeywordsPrime Number Multiplicative Group Algebraic Closure Irreducible Polynomial Chinese Remainder Theorem
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