Download An Introduction to Mathematical Cryptography by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman PDF

By Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman

An advent to Mathematical Cryptography presents an creation to public key cryptography and underlying arithmetic that's required for the topic. all the 8 chapters expands on a particular zone of mathematical cryptography and offers an intensive record of exercises.

It is an acceptable textual content for complicated scholars in natural and utilized arithmetic and laptop technology, or the e-book can be used as a self-study. This booklet additionally offers a self-contained therapy of mathematical cryptography for the reader with restricted mathematical background.

Show description

Read Online or Download An Introduction to Mathematical Cryptography PDF

Similar information theory books

Quantum communications and cryptography

All present tools of safe conversation resembling public-key cryptography can ultimately be damaged by way of swifter computing. on the interface of physics and machine technology lies a strong resolution for safe communications: quantum cryptography. simply because eavesdropping alterations the actual nature of the data, clients in a quantum alternate can simply become aware of eavesdroppers.

Philosophy of Physics,

The instruction manual of Philosophy of Physics is a part of the multi-volume sequence instruction manual of Philosophy of technology lower than the final editorship of Dov Gabbay, Paul Thagard, and John Woods. As mirrored within the titles of volumes within the sequence, the philosophy of technology has turn into more and more really expert right into a variety of sub-fields (philosophy of biology, philosophy of psychology and the cognitive sciences, philosophy of economics, and so forth.

Komplexitätstheorie. Grenzen der Effizienz von Algorithmen

Die Komplexitätstheorie ist inzwischen eine ausgefeilte Theorie. Viele wichtige und nützliche Ergebnisse sind schwer vermittelbar, da der Weg zu Ergebnissen für konkrete Probleme lang und beschwerlich ist. Während die NP-Vollständigkeitstheorie die gesamte Informatik beeinflußt hat, werden die neueren Ergebnisse in der Ausbildung an den Rand gedrängt.

Additional resources for An Introduction to Mathematical Cryptography

Sample text

These books describe not only simple substitution and transposition ciphers, but also the first recorded instance of a homophonic substitution cipher, which is a cipher in which a single plaintext letter may be represented by any one of several possible ciphertext letters. More importantly, they contain the first description of serious methods of cryptanalysis, including the use of letter frequency counts and the likelihood that certain pairs of letters will appear adjacent to one another. Unfortunately, most of this knowledge seems to have disappeared by the 17th century.

More importantly, the next to last column gives the values of −v and u (in that order). Thus in this example we find that 73 · 12 − 25 · 35 = 1. 3. 3. Modular arithmetic 19 In general, if a and b are relatively prime and if q1 , q2 , . . 2 on page 13, then the box has the form 0 1 q1 1 P1 0 Q1 q2 P2 Q2 ... ... qt−1 Pt−1 Qt−1 qt a b The entries in the box are calculated using the initial values P 1 = q1 , P2 = q2 · P1 + 1, Q1 = 1, Q2 = q2 · Q1 , and then, for i ≥ 3, using the formulas Pi = qi · Pi−1 + Pi−2 and Qi = qi · Qi−1 + Qi−2 .

16 There are in fact many primes in the interval 2159 < p < 2160 . The prime number theorem implies that almost 1% of the numbers in this interval are prime. Of course, there is also the question of identifying a number as prime or composite. There are efficient tests that do this, even for very large numbers. 4. 42 1. An Introduction to Cryptography It is clear that Eve has a hard time guessing k, since there are approximately 2160 possibilities from which to choose. Is it also difficult for Eve to recover k if she knows the ciphertext c?

Download PDF sample

Rated 4.34 of 5 – based on 3 votes