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CHAPTER 10 - Applications of Primitive Roots and the Order of an Integer
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10.1 Pseudorandom Numbers


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A useful exposition about random number generators can be found in the RSA Laboratories Cryptography FAQ at
http://www.rsasecurity.com/rsalabs/faq/2-5-2.html (What is random number generation?)
A useful resource for the study of the generation of random numbers is the pLab Server on the Theory and Practice of Random Number Generation at
http://random.mat.sbg.ac.at/ (Random Number Generators: The pLab Project Home Page)

 

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Biographical information about John von Neumann can be found at the MacTutor History of Mathematics Archive at
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Von_Neumann.html (Von Neumann)

 

10.2 The ElGamal Cryptosystem


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You can find the Federal Information Processing Standard (FIPS) 186 on the NIST Web site at http://csrc.nist.gov/publications/fips/fips186-2/fips186-2-change1.pdf

 

An implementation of the ElGamal cryptosystem can be found at http://www.cl.cam.ac.uk/~gd216/ElGamal.html

 


A C++ implementation of the ElGamal cryptosystem is included in the Crypto++ Library at
http://www.eskimo.com/~weidai/crytlib.html (Crypto++ 5.2.1-a C++ Class Library of Cryptographic Schemes)

 

10.3 An Application to the Splicing of Telephone Cables


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To learn about coaxial cable, go to http://en.wikipedia.org/wiki/Coaxial_cable

 


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