内容简介
Thistextbookprovidesanintroductiontothemathematicsonwhichmoderncryptologyisbased.Itcoversnotonlypublickeycryptography,theglamorouscomponentofmoderncryptology,butalsopaysconsiderableattentiontosecretkeycryptography,itsworkhorseinpractice.Moderncryptologyhasbeendescribedasthescienceoftheintegrityofinformation,coveringallaspectslikeconfidentiality,authenticityandnon-repudiationandalsoincludingtheprotocolsrequiredforachievingtheseaims.Inboththeoryandpracticeitrequiresnotionsandconstructionsfromthreemajordisciplines:computerscience,electronicengineeringandmathematics.Withinmathematics,grouptheory,thetheoryoffinitefields,andelementarynumbertheoryaswellassometopicsnotnormallycoveredincoursesinalgebra,suchasthetheoryofBooleanfunctionsandShannontheoryareinvolved.Althoughessentiallyself-contained,adegreeofmathematicalmaturityonthepartofthereaderisassumed,correspondingtohisorherbackgroundincomputerscienceorengineering.AlgebraforCryptologistsisatextbookforanintroductorycourseincryptographyoranupperundergraduatecourseinalgebra,orforself-studyinpreparationforpostgraduatestudyincryptology.