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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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. There was a problem filtering reviews right now. This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes.

This is because the text was wrong. Principles and Practice 7th Edition. Many homework problems on which the reader can practice are another strength. A Practical Introduction to Modern Encryption. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The students have expressed how much they get from the book. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems.

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An Introduction to Mathematical Cryptography

This approach has been shown to be problematic for Koblitz piphef, the latter of which are discussed in the book. 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 in cryptography at a level that can be approached by an undergraduate senior in mathematics.


This review is based on a reading of chapters 5 and 8 of the book. See all 18 reviews. Separability is viewed in some texts in elliptic curves as more of a technical issue, which can be ignored at an elementary level. Explore the Home Gift Guide. Get fast, free shipping with Amazon Prime.

The Frobenius map is not separable, and this fact allows one to show that its degree is strictly greater than the number of points in its kernel. The distortion maps are used to define a modified Weyl pairing, which is proved to be non-degenerate.

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It arises when studying endomorphisms of elliptic curves of fields of non-zero characteristic, and involves defining rational functions. I highly recommend it. Cryptography and Network Security: Amazon Restaurants Food delivery from local restaurants. The book covers a variety of topics that are considered central to mathematical cryptography.


Some more of the highlights of this part of the book: Share your thoughts with other customers. Alexa Actionable Analytics for the Web. Isogenies are mentioned in a footnote to the discussion on distortion maps, since the latter are isogenies. Learn more about Amazon Prime.

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An Introduction to Mathematical Cryptography

The book includes an extensive bibliography and index; supplementary materials are available online. Please try again later.

Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. Amazon Music Stream millions of songs. Suffice it to say that the strategy of Weil descent involves finding a cover of the elliptic curve by a hyperelliptic curve that is defined over the extension of the ground field. Including a page number would help greatly.

To me, this book is still the first-choice introduction to public-key cryptography.

If you are a seller for this product, would you like to suggest updates through seller support? I used this book to hotfstein a class of math and computer science majors. Amazon Advertising Find, attract, and engage customers. Withoutabox Submit to Film Festivals.

Last modified: December 29, 2019