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Download e-book for iPad: A Cryptography Primer: Secrets and Promises by Philip N. Klein

By Philip N. Klein

ISBN-10: 1107017882

ISBN-13: 9781107017887

Cryptography has been hired in conflict and international relations from the time of Julius Caesar. In our net age, cryptography's such a lot common program can be for trade, from conserving the protection of digital transfers to guarding conversation from commercial espionage. This obtainable creation for undergraduates explains the cryptographic protocols for reaching privateness of conversation and using electronic signatures for certifying the validity, integrity, and foundation of a message, rfile, or software. instead of supplying a how-to on configuring net browsers and email courses, the writer offers a consultant to the foundations and straightforward arithmetic underlying glossy cryptography, giving readers a glance less than the hood for safeguard ideas and the explanations they're regarded as safe.

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Additional info for A Cryptography Primer: Secrets and Promises

Sample text

How could Alice use the addition cypher to encrypt a plaintext consisting of, say, 50 symbols? The generic name for a scheme is block cypher. The basic encryption method is called block encryption, and the size of the plaintext that block encryption can handle is called the block size, and can be measured by the number of digits. 1 has a block size of 12 digits, and its block encryption method consists in adding the plaintext and the key modulo 1012 . 1 (ECB stands for “Electronic Code Book”). 1.

Thus the diagram does not represent a function. Back to invertible functions and their inverse. 4? 3. The inverse of the inverse of a function is the original function. (Nothing deep there; you turn arrows around once and then turn them around again. ) When we know a rule for an invertible function, we can sometimes use the rule to help make sense of the inverse. 3 is x → x · x. That is, the rule says to square the input in order to get the output. What operation is the reverse (formally, the inverse) of squaring?

One-to-one and onto We have said that a function is invertible if every element of the codomain is the image of precisely one element of the domain. Let’s break down that condition into two conditions, one-to-one and onto: • A function is one-to-one if each element of the codomain is the image of at most one element of the domain. • A function is onto if each element of the codomain is the image of at least one element of the domain. 3 Functions from modular arithmetic 37 These terms are used for explaining why a function is not invertible.

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A Cryptography Primer: Secrets and Promises by Philip N. Klein

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