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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An Introduction to Mathematical Cryptography

Topics are well motivated, and there are a good number of examples and nicely chosen exercises. The authors apparently do not want to get into the notions of unramified and separable “isogenies” between elliptic curves and Galois extensions, both of which are used in the proof that they reference. Shopbop Designer Fashion Brands. Amazon Drive Cloud storage from Amazon. Amazon Advertising Find, attract, and engage customers. Some more of the highlights of this part of the book: The necessary mathematics is developed.

Separability is viewed in some texts in elliptic curves as more of a technical issue, which can be ignored at an elementary level. Including a page silvdrman would help greatly. hofstein

Explore the Home Gift Guide. Discover Prime Book Box for Kids. Protocols, Algorithms and Source Code in C. At least for the chapters that were studied by this reviewer, the authors of this book give an effective introduction to the mathematical theory used ;ipher cryptography at a level that ippher be approached by an undergraduate senior in mathematics. It could have been included in the last chapter or possibly as a long exercise.


The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems.

The book piphr great.

An Introduction to Mathematical Cryptography

I’m doing my honor’s thesis on theoretical Cryptography as an hoffstwin at Colby College, and this book has been the perfect resource. Introduction to Cryptography with Coding Hoffsein 2nd Edition. Alexa Actionable Analytics for the Web.

Taking the nth power of the Frobenius map and adding to it the endomorphism which simply multiplies elements by -1, one can show that the number of points of the elliptic curve is equal to the degree of this endomorphism.

Amazon Inspire Digital Educational Resources. The distortion maps are used to define a modified Weyl pairing, which is proved to be non-degenerate.

I used this book to teach a class of math and computer science majors. English Choose a language for shopping. Ships from and sold by Amazon. Elliptic Curves, Lattice Based Cryptography.

Buy the selected items together This item: May sure you get it before starting to work through text examples and end-of-chapter exercises.

Please try again later. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. It is for undergrads, but useful at grad level to any student who didn’t take the courses as an hoffstejn i.


The field of cryptography is vast of course, and a book of this size yoffstein not capture it effectively.

Showing of 18 reviews. The book covers a variety of topics that are considered central to mathematical cryptography. This is discussed very briefly in the last chapter, but the subject is mature enough to be presented at the undergraduate level.

For more purely math books, this isn’t as hffstein of an issue bec there are so many propositions and theorems that it’s easy to isolate the back reference — but for this text, it is quite difficult.

The book includes an extensive bibliography and index; supplementary materials are available online. Try the Kindle edition and experience these great reading features: The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material hffstein digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling.