Cryptography and Computational Number Theory

By Rahul Patil

Computational Number Theory.- On the Dimension and the Number of Parameters of a Unirational Variety.- On Elements of High Order in Finite Fields.- Counting the Number of Points on Affine Diagonal Curves.- Small Values of the Carmichael Function and Cryptographic Applications.- Density Estimates Related to Gauss Periods.- Distribution of the Coefficients of Primitive Polynomials over Finite Fields.- The Distribution of the Quadratic Symbol in Function Fields and a Faster Mathematical Stream Cipher.- Rational Groups of Elliptic Curves Suitable for Cryptography.- Effective Determination of the Proportion of Split Primes in Number Fields.- Algorithms for Generating, Testing and Proving Primes: A Survey.- Elliptic Curve Factorization Using a "Partially Oblivious" Function.- The Hermite-Serret Algorithm and 122 + 332.- Applications of Algebraic Curves to Constructions of Sequences.- Cryptography.- Designated 2-Verifier Proofs and their Application to Electronic Commerce.- Divide and Conquer Attacks on Certain Irregularly Clocked Stream Ciphers.- New Results on the Randomness of Visual Cryptography Schemes.- Authentication - Myths and Misconceptions.- A Survey of Bit-security and Hard Core Functions.- On the Security of Diffie-Hellman Bits.- Polynomial Rings and Efficient Public Key Authentication II.- Security of Biased Sources for Cryptographic Keys.- Achieving Optimal Fairness from Biased Coinflips.- The Dark Side of the Hidden Number Problem: Lattice Attacks on DSA.- Distribution of Modular Sums and the Security of the Server Aided Exponentiation.- A General Construction for Fail-Stop Signatures using Authentication Codes.- Robust Additive Secret Sharing Schemes over Zm.- RSA Public Key Validation.

• Format: Hardcover
• Language: English
• ISBN: 3764365102
• ISBN13: 9783764365103
• Release Date: March 2001
• Publisher: Birkhauser
• Length: 392 Pages
• Weight: 1.59 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"

Customer Reviews

Engaging presentation of valuable techniques

One of the best programming books I have read - short, pithy and useful.The error coding technique proposed is clearly explained, and is proving practical and robust. Far from being cumbersome, as some reviewers suggest, it is easy to implement and helps avoid code bloat.There is a clearly specified framework for the technique, and useful guidelines about how the standards can be introduced, certified and sustained in a development...

Offers a real-world approach that is hard to argue with

Visual Basic is not my first choice of programming languages, precisely because it encourages very sloppy behavior and gives amateurs with only a little knowledge a dangerous sense of accomplishment :-). If you must use VB (and you must, for its exceedingly high productivity in writing Windows apps), this book offers a well-thought-out strategy for structuring your code. Primarily focused on error handling and prevention (because...

Layering - very interesting architectural approach

I can't say a lot (I'm not a coder but involved with software architecture) about the specific VB error-coding tehniques recommended in the book, but there are plenty of them. The book is focused on error coding concepts and only uses VB to present some examples.Imho the code layering concept alone it's worth enough to buy and read the book. We are testing it now on a project and it looks as good in practice as it sound in...

A MUST for your collection

If you are the least bit interested in writing GREAT VB code then YOU MUST READ THIS BOOK. I have read it twice without putting it down and plan to read it again soon. I have over 100 technical manuals in my library and this is the first that I have read cover to cover twice. I have also gone on a rampage at work to make it mandatory reading for our staff. Since 1,000 words is not nearly enough space to cover all of the...

VB6 Error Handling, and so much more....

Every page I read made me wish for two more! Gill has managed to demonstrate in easily understandable words and examples a fully developed framework for creating solid, extensible, easily maintainable software systems. This book hits home across all boundaries of software development. Not just a must read, but a must do, for coders and management alike.