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Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications)The purpose of this reviewarticle is to serve as an introduction and at the same time, as an invitation to the theory of towers of function fields over finite fields. More specifically, we treat here the case of explicit towers; i.e., towers where the function fields are given by explicit equations. The asymptotic behaviour of the genus and of the... | | Cryptography and Network Security: Principles and Practice (5th Edition)
In this age of universal electronic connectivity, of viruses and hackers, of electronic eavesdropping
and electronic fraud, there is indeed no time at which security does not matter.Two
trends have come together to make the topic of this book of vital interest. First, the explosive
growth in computer systems and their interconnections... | | Number Theory for ComputingThere are many surprising connections between the theory of numbers, which is one of the oldest branches of mathematics, and computing and information theory. Number theory has important applications in computer organization and security, coding and cryptography, random number generation, hash functions, and graphics. Conversely, number theorists... |
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