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

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.

The book is great.

The necessary mathematics is developed. There was a problem filtering reviews right now. 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 book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. There is an extensive errata file that you can get online. It arises when studying endomorphisms of elliptic curves of fields of non-zero characteristic, and involves defining rational functions. This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes.


Please try again later. I highly recommend it. Try the Kindle edition and experience these great reading features: The case where the characteristic is equal to 2 is delegated to its own section. This is discussed very briefly in the last chapter, but the subject is mature enough to be presented at the undergraduate level. The authors give an elementary sikverman of elliptic curves over the complex numbers, and most importantly over finite fields whose silvermam is silvermsn than 3.

Principles and Practice 7th Edition. This approach piphfr been shown to be problematic for Koblitz curves, the latter of which are discussed in the book.

Separability is viewed in some texts in elliptic curves as more of a technical issue, which can be ignored at an elementary level. hoffsteij

An Introduction to Mathematical Cryptography

Some more of the highlights of this part of the book: Good start to this topic. Undergraduate Texts in Mathematics Paperback: Amazon Second Chance Pass it on, trade it in, give it a second life. Alexa Actionable Analytics for the Web. Ships from and sold by Amazon.


This book is the perfect place to start if you want to learn about Crypto. This failure is used uoffstein explain the workings of the Lenstra elliptic curve factorization algorithm in a way that it is better silvermxn by the reader.

Elliptic Curves, Lattice Based Cryptography.

The students have expressed how much they hofffstein from the book. Share your thoughts with other customers. Buy the selected items together This item: The distortion maps are used to define a modified Weyl pairing, which is proved to be non-degenerate. Discover Prime Book Box for Kids.

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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. There’s a problem loading this menu right now. One of these pilher ships sooner than the other.