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

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 frequent software might be for trade, from holding the safety of digital transfers to guarding conversation from business espionage. This available advent 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 application. instead of delivering a how-to on configuring internet browsers and electronic mail courses, the writer presents a advisor to the foundations and basic arithmetic underlying sleek cryptography, giving readers a glance lower than the hood for defense ideas and the explanations they're considered safe.

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Extra info for A Cryptography Primer: Secrets and Promises

Example text

The rule for the function is f (plain, key) = plain + key rem 26 where we have used the names plain and key instead of, say, x and y, to remind ourselves of the intended purpose of these inputs. 7. Specialization: Turning a two-input function into a one-input function Now suppose two parties, Alice and Bob, have selected a key, say 17, to be used for their encrypted messages. We can define a new function g to carry out the encryption with that key. The function g has {0, 1, 2, 3, . . , 25} as its domain and its codomain.

We can use a diagram to represent a relation; there is an arrow for each pair, going from the first item in the pair to the second. 1, represent two-place relations. If there is an arrow x −→ y in the relation, we say that “x maps to y” and that “y is the image of x” under the relation. 1, the elements 1, 4, and 5 all map to 96, 1 also maps to 94, the element 2 maps to 100, and finally 3 maps to 99. Another way to say the same thing is that 96 is the image of 1 and is also the image of 4 and of 5, and so forth.

The rule for the function is f (plain, key) = plain + key rem 26 where we have used the names plain and key instead of, say, x and y, to remind ourselves of the intended purpose of these inputs. 7. Specialization: Turning a two-input function into a one-input function Now suppose two parties, Alice and Bob, have selected a key, say 17, to be used for their encrypted messages. We can define a new function g to carry out the encryption with that key. The function g has {0, 1, 2, 3, . . , 25} as its domain and its codomain.

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


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