Hoffstein, Pipher, and Silverman provide a thorough treatment of the topics while keeping the material accessible. The book uses examples throughout the. Jeffrey Hoffstein (Author), Jill Pipher (Contributor), . Mathematical Cryptography (Undergraduate Texts in Mathematics) by Jeffrey Hoffstein Paperback $ An Introduction to Mathematical Cryptography. Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman. Springer-Verlag – Undergraduate Texts in Mathematics.

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I hope that a revised version is issued that corrects these errata. Protocols, Algorithms and Source Code in C.

Topics are well motivated, and there are a good number of examples and nicely chosen exercises. It really interferes with the reading process. A Textbook for Students and Practitioners. Herstein LC to fully grasp all the related Math fundamentals.

The authors give an elementary overview of elliptic curves over the complex silvreman, and most importantly over finite fields whose characteristic is greater than 3. This failure is used to explain the workings of the Lenstra elliptic curve factorization algorithm in a way that it is better appreciated by the reader. Amazon Restaurants Hfofstein delivery from local restaurants. Pages with related products. Amazon Rapids Fun stories for kids on the go.

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The Hasse formula is viewed in some texts as a “Riemann Hypothesis” for elliptic curves over finite fields, and was proven by Hasse in This approach has been shown to be problematic for Koblitz curves, the latter of which are discussed in the book.


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An Introduction to Mathematical Cryptography

The authors correctly don’t want to elaborate on Weil descent in any more detail, since it requires a solid knowledge of field extensions and theory of algebraic varieties at a level that one obtains in a graduate course in algebraic geometry. Separability is viewed in some texts in elliptic curves as more of a technical issue, which can be ignored at an elementary level.

Add both to Cart Add both to List. This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. This is discussed very briefly in the last chapter, but the subject is mature enough to be presented at the undergraduate level.

An Introduction to Mathematical Cryptography

The necessary mathematics is developed. Write a customer review. Suffice it to say that the strategy of Weil descent involves finding a cover silveman the elliptic curve by a hyperelliptic curve that is defined over the extension of the ground field. Elliptic Curves, Lattice Based Cryptography. Customers who bought this item also bought.

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Showing of 18 reviews. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography.


Principles and Practice 7th Edition. Some more of the highlights of this part of the book: The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling. Good introduction to intermediate level coverage of math-based crypto, however, I found the text hard to follow because the cross references were hard to look up.

Including a page number would help greatly. Amazon Music Stream millions of songs. AmazonGlobal Ship Orders Internationally. Would you like to tell us about a lower price? To me, this book is still the first-choice introduction to public-key cryptography. Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption.

Topics are well-motivated, and there are a good number of examples and nicely chosen exercises.