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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Isogenies are mentioned in a footnote to the discussion on distortion maps, since the latter are isogenies.

Protocols, Algorithms and Source Code in C. Try the Kindle edition and experience these great reading features: Amazon Renewed Refurbished products with a warranty. May sure you get it before starting to work through text examples and end-of-chapter exercises.

ComiXology Thousands of Digital Comics. The authors give an elementary overview of elliptic curves silcerman the complex numbers, and most importantly over finite fields whose characteristic is greater than 3. Read more Read less.

This reviewer has not studied Hasse’s proof, but a contemporary proof relies on the Frobenius map and its separability, two notions that the authors do not apparently want to introduce at this level of book however they do introduce the Frobenius map when discussing elliptic curves over F2. The systems are described and important attacks on the mathematical underpinnings are given in detail.


Shopbop Designer Fashion Brands. Withoutabox Submit to Film Festivals. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required.

Amazon Advertising Find, attract, and engage customers. Some more pipehr the highlights of this part of the book: A Practical Introduction to Modern Encryption.

An Introduction to Mathematical Cryptography

One good example would be cryptography based on the mathematical theory of knots and braids the braid group is non-Abelianeven though this approach is in its infancy at the present time, and in almost all cases shown to be highly vulnerable to attacks. 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.

To me, this book sivlerman still the first-choice introduction to public-key cryptography. This is discussed very briefly in the last chapter, but the subject is mature hfofstein to be silvermam at the undergraduate level. 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 hofdstein.

Buy the selected items together This item: The case where the characteristic is equal to 2 is delegated to its own section. Write a customer review. See and discover other items: Many homework problems on which the reader can practice are another strength. It is for undergrads, but useful at grad level to any student who didn’t take the courses as an undergrad i. Amazon Drive Cloud storage from Amazon.


An Introduction to Mathematical Cryptography

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I used this book to teach a class of math and computer science majors. Separability is viewed in some texts in elliptic curves as more of a technical issue, which can be ignored at an elementary level.

I hope that a revised version is issued that corrects these errata. The Hasse formula is viewed in some texts as a “Riemann Hypothesis” for elliptic curves over finite fields, and was proven by Hasse in In discussing the arithmetic of elliptic curves over finite fields, the authors give a good motivation for Hasse’s formula, which gives a bound for the number of points of the elliptic curve over a finite fieldbut they do not go into the details of the proof.