PPT-COS 433: Cryptography

COS 433 Cryptography Princeton University Spring 2010 Boaz Barak Lecture 7 Chosen Plaintext Attack Block Ciphers Short Review of PRF construction 2 G f s x Snapshot after i invocations Short Review of PRF construction. cos eV RF RF RF RF RF RF RF RF RF RF eV eV cos cos cos cos RF RF RF RF RF eV eV eV RF RF RF RF RF RF RF eV eV cos cos cos 66 65 RF RF RF RF RF eV eV cos sin 66 65 5666 566 56 56 566 56 66 65 66 4KEITHCONRADGeometrically,theeectofthesematricesispicturedbelow.Ontheleft,(cossinsincos)isacounterclockwiserotationbyanglearoundtheorigin.Ontheright,(cossinsincos)isare ectionacrosstheline Theabovecalculationalsoallowsustoobtain~J2,~J2=J2z+1 2(J+J+JJ+)=(jhcos)2+1 2q jh(1+cos)(jh(1cos)+h)q jh(1+cos)q jh(1cos)(jh(1+cos)+h)q jh(1cos)=j(j+1)h2:(25)3.3WaveFunctionsWe MCS320IntroductiontoSymbolicComputationSpring2007[diff(cos(t),t);#differentiationoftheformulacos(t)[diff(cos,t);#wrong![D(cos(t));#alsowrong[D(cos);#differentiationofthecosinefunctionThefollowingi 20.sin(+)=sin
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tanDoubleAngl WorksupportedbytheNationalScienceFoundationwhichof3formsatermcantake.Therstformis )sinh()cos( )sinh()sin(.(2)Thesecondformis kysinh(k )sinh()sin( )sin()cos()cos()cos( )sin()sin( Sixth Edition. by William Stallings . Chapter 10. Other Public-Key Cryptosystems. “Amongst the tribes of Central Australia every man, woman, and child has a secret or sacred name which is bestowed by the older men upon him or her soon after birth, and which is known to none but the fully initiated members of the group. This secret name is never mentioned except upon the most solemn occasions; to utter it in the hearing of men of another group would be a most serious breach of tribal custom. When mentioned at all, the name is spoken only in a whisper, and not until the most elaborate precautions have been taken that it shall be heard by no one but members of the group. The native thinks that a stranger knowing his secret name would have special power to work him ill by means of magic.”. *Address correspondence to this author at the Experimental Neurology, Department of Neurology, Philipps University - Marburg, Baldingerstrasse, D-35033 Marburg, Germany; Tel: +49-6421-28-66088; Fax: + @x=sincos@ @x=coscos r@ @x=sin rsin@r @y=sinsin@ @y=cossin r@ @y=cos rsin@r @z=cos@ @z=sin rThepositionvectorR=xi+yj+zkiswrittenR=rer:(sphericalcoordinates)IfR=R(t)isaparameterize Rooney Law Firm. Offices in CO, MD, and VA. 1-866-377-4774. www.irsequalizer.com. Offers in Compromise Update-What are the Changes?. Overview Of Offers in Compromise (OIC). Handling the Case. What is a Non-Processable OIC?. Spring 2010. Boaz Barak. Lecture 7: . Chosen Plaintext Attack. Block . Ciphers. Short Review of PRF construction. 2. G. f. s. (x). Snapshot after . i. invocations.. Short Review of PRF construction. +&,#(4/$O"94[?M434#,$$1/"94[-4R.S"T-,B$Q.#$W44$X'8$ *)&44$9&"(&,83$,#J$.#J4&*,Z4$-"89"34&3`$&4,J'#(3T$a/,-484#*$'#$*)'3$4#348P/4$'3$P,34J$"#$,$-"8P'#,*'"#$"1$3*.J4#*3`$*4-)#'-,/$,#J$3'()*?&4,J'#($,P'/ The . art and science of concealing the messages to introduce secrecy in . information security . is recognized as cryptography. .. The word ‘cryptography’ was coined by combining two Greek words, ‘Krypto’ . 4&+/&!73/!,4&!/&6('&.)J!=*,)4 (.)+-'&!V*6()!,/*(.(.9@!6-==&/!=&'()(.&!,/*(.(.9!/39/*=6@!*.'!73-/,4!J&*/!*F*J!/3,*,(3.6!F(,4(.!=(+(,*/J!4&*+,4)*/&!(.6,*++*,(3.6H!E4&!.-=V&/!37!,3-/6!J3-!*/&!*-,43/(Y&'!