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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Read reviews that mention elliptic curves cryptography text math mathematical level class theory examples mathematics background introduction solid topics.
Amazon Second Chance Pass it on, trade it in, give it a second life. The book covers a variety of topics that are considered central to mathematical cryptography.
Many homework problems on which the reader can practice are another strength. Withoutabox Submit to Film Festivals.
An Introduction to Mathematical Cryptography
Topics are well-motivated, and there are a good number of examples and nicely chosen exercises. 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.
Would you like to tell us about a lower price? This pipber is the perfect place to start if you want to learn about Crypto. Undergraduate Texts in Mathematics Paperback: The systems are described and important attacks on the mathematical underpinnings are given in detail.
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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.
Just a few more arithmetical calculations establishes Hasse’s estimate. ComiXology Thousands of Digital Comics. Customers who bought hoffstin item also bought.
I used this uoffstein to teach a class of math and computer science majors. Amazon Rapids Fun stories for kids on the go. The book includes an extensive bibliography and index; supplementary materials are available online.
The case where the characteristic is equal to 2 is delegated to its own section. It really interferes with the reading process. 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.
Some more of the highlights of this hoffstsin of the book: This is discussed very briefly in the last chapter, but the subject is mature enough to be presented at the undergraduate level.
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. Topics are well motivated, and there are a good number of examples and nicely chosen exercises.
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An Introduction to Mathematical Cryptography
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 Restaurants Food delivery from local restaurants. Ships from and sold by Amazon. 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. East Dane Designer Men’s Fashion. English Choose a language for shopping.
This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. Get fast, free shipping with Amazon Prime. Add both to Cart Add both to List. Amazon Drive Cloud storage from Amazon.
Read more Read less. The only hiccup was that I tried to work through the text example myself and came up with different answers. Amazon Advertising Find, attract, and engage customers. Buy the selected items together This item: It arises when studying endomorphisms of elliptic curves of fields of non-zero characteristic, and involves defining rational functions.
Introduction to Cryptography with Coding Theory 2nd Edition. Principles and Practice 7th Edition. A Practical Introduction to Modern Encryption.
It could have been included in the last chapter or possibly as a long exercise. AmazonGlobal Ship Orders Internationally. 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.
Silerman is viewed in some texts in elliptic curves as more of a technical issue, which can be ignored at an elementary level. The field of cryptography is vast of course, and a book of this size could not capture it effectively. There was a problem filtering reviews right now.
Isogenies are mentioned in a footnote to the discussion on distortion maps, since the latter are isogenies.