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Titlebook: A Course in Number Theory and Cryptography; Neal Koblitz Textbook 1994Latest edition The Editor(s) (if applicable) and The Author(s), unde

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期刊全称A Course in Number Theory and Cryptography
影响因子2023Neal Koblitz
视频video
学科分类Graduate Texts in Mathematics
图书封面Titlebook: A Course in Number Theory and Cryptography;  Neal Koblitz Textbook 1994Latest edition The Editor(s) (if applicable) and The Author(s), unde
影响因子. . . both Gauss and lesser mathematicians may be justified in rejoic­ ing that there is one science [number theory] at any rate, and that their own, whose very remoteness from ordinary human activities should keep it gentle and clean. - G. H. Hardy, A Mathematician‘s Apology, 1940 G. H. Hardy would have been surprised and probably displeased with the increasing interest in number theory for application to "ordinary human activities" such as information transmission (error-correcting codes) and cryptography (secret codes). Less than a half-century after Hardy wrote the words quoted above, it is no longer inconceivable (though it hasn‘t happened yet) that the N. S. A. (the agency for U. S. government work on cryptography) will demand prior review and clearance before publication of theoretical research papers on certain types of number theory. In part it is the dramatic increase in computer power and sophistica­ tion that has influenced some of the questions being studied by number theorists, giving rise to a new branch of the subject, called "computational number theory. " This book presumes almost no background in algebra or number the­ ory. Its purpose is to introduce the reader
Pindex Textbook 1994Latest edition
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Elliptic Curves,ed in public and private schools, and in 1952 entered the University of London, where I majored in historical geography. I completed a master’s degree in cultural and urban geography at the University of Nebraska in 1958 under the direction of James E. Vance, Jr., and Leslie Hewes. After teaching ca
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Astrid Mattes,Sieglinde Rosenbergerssible ciphertext message units. Actually, the term “cryptosystem” is more often used to refer to a whole family of such transformations, each corresponding to a choice of . (the sets . and ., as well as the map ., may depend upon the values of the parameters).
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Marian Burchardt,Ines Michalowskiields) — has found application in cryptography. The basic reason for this is that elliptic curves over finite fields provide an inexhaustible supply of finite abelian groups which, even when large, are amenable to computation because of their rich structure. Before (§ IV.3) we worked with the multip
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Conclusion: A Choice of Futures,In this chapter we shall assume familiarity with the basic definitions and properties of a field. We now briefly recall what we need.
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