03705nam 22007455 450 991029897110332120220415222640.03-319-12991-010.1007/978-3-319-12991-4(CKB)3710000000332360(EBL)1965308(OCoLC)899738954(SSID)ssj0001424435(PQKBManifestationID)11832252(PQKBTitleCode)TC0001424435(PQKBWorkID)11368091(PQKB)10302227(MiAaPQ)EBC1965308(DE-He213)978-3-319-12991-4(PPN)183517520(EXLCZ)99371000000033236020150106d2014 u| 0engur|n|---|||||txtccrConstruction and analysis of cryptographic functions /by Lilya Budaghyan1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (172 p.)Description based upon print version of record.3-319-12990-2 Includes bibliographical references.Introduction -- Generalities -- Equivalence relations of functions -- Bent functions -- New classes of APN and AB polynomials -- Construction of planar functions.This book covers novel research on construction and analysis of optimal cryptographic functions such as almost perfect nonlinear (APN), almost bent (AB), planar and bent functions. These functions have optimal resistance to linear and/or differential attacks, which are the two most powerful attacks on symmetric cryptosystems. Besides cryptographic applications, these functions are significant in many branches of mathematics and information theory including coding theory, combinatorics, commutative algebra, finite geometry, sequence design and quantum information theory. The author analyzes equivalence relations for these functions and develops several new methods for construction of their infinite families. In addition, the book offers solutions to two longstanding open problems, including the problem on characterization of APN and AB functions via Boolean, and the problem on the relation between two classes of bent functions.Coding theoryInformation theoryData encryption (Computer science)Difference equationsFunctional equationsCombinatorial analysisCoding and Information Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/I15041Cryptologyhttps://scigraph.springernature.com/ontologies/product-market-codes/I28020Difference and Functional Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12031Combinatoricshttps://scigraph.springernature.com/ontologies/product-market-codes/M29010Coding theory.Information theory.Data encryption (Computer science)Difference equations.Functional equations.Combinatorial analysis.Coding and Information Theory.Cryptology.Difference and Functional Equations.Combinatorics.003.54004005.82511.6Budaghyan Lilyaauthttp://id.loc.gov/vocabulary/relators/aut918913BOOK9910298971103321Construction and Analysis of Cryptographic Functions2060907UNINA