Cryptography: An Introduction by V. V. Yashchenko PDF

By V. V. Yashchenko

ISBN-10: 0821829866

ISBN-13: 9780821829868

Studying approximately cryptography calls for reading basic matters approximately details protection. Questions abound, starting from 'From whom are we retaining ourselves?' and 'How will we degree degrees of security?' to 'What are our opponent's capabilities?' and 'What are their goals?' Answering those questions calls for an realizing of simple cryptography. This publication, written via Russian cryptographers, explains these basics.Chapters are self sustaining and will be learn in any order. The creation offers a basic description of all of the major notions of contemporary cryptography: a cipher, a key, defense, an digital electronic signature, a cryptographic protocol, and so on. different chapters delve extra deeply into this fabric. the ultimate bankruptcy offers difficulties and chosen options from ""Cryptography Olympiads for (Russian) highschool Students"". this can be an English translation of a Russian textbook. it truly is appropriate for complex highschool scholars and undergraduates learning details protection. it's also applicable for a normal mathematical viewers attracted to cryptography. additionally on cryptography and to be had from the AMS is ""Codebreakers: Ame Beurling and the Swedish Crypto application in the course of international warfare II"".

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The goal of the theoretical cryptography consists precisely in the study of the security of cryptographic schemes against all possible (efficient) attacks. If, in Schnorr's scheme, Alice is the adversary, then she can choose r in an arbitrary (but efficient) way. In other words, Alice uses a polynomial time probabilistic algorithm that computes for each specific value of r the probability of choosing this r. Let r be a value sent by Alice to Bob in the first round. Suppose we managed to find two queries ei,e2 G { 0 , .

Authentication and electronic signature 45 the values of other parameters. Therefore, from the practical point of view, Schnorr's algorithm is much more efficient. The first requirement to the authentication protocol security, the soundness, means that an adversary knowing only the public key can pass the authentication only with negligible probability. A simple analysis shows that the soundness of Schnorr's protocol depends on the chosen value of t. Indeed, if t is small, then the adversary can simply guess the query e that he will receive from Bob in the second round.

Here are a few examples. " An owner of a smart bank card addressing the bank through a terminal starts with the card authentication. Users of the Internet surely know about discussions concerning the adoption of the digital signature standard for pages containing crucial information (legal information, price lists, and so on). Recently network users started including not only the now familiar e-mail address, but also the less common "Public key imprint . . ". The number of examples increases daily.

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Cryptography: An Introduction by V. V. Yashchenko

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