Construction and Analysis of Cryptographic 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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Budaghyan, Lilya (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Temas:
Coding theory.
Information theory.
Cryptography.
Data encryption (Computer science).
Difference equations.
Functional equations.
Discrete mathematics.
Coding and Information Theory.
Cryptology.
Difference and Functional Equations.
Discrete Mathematics.
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Construction and Analysis of Cryptographic Functions  |h [electronic resource] /  |c by Lilya Budaghyan. 
250 |a 1st ed. 2014. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a VIII, 168 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a Introduction -- Generalities -- Equivalence relations of functions -- Bent functions -- New classes of APN and AB polynomials -- Construction of planar functions. 
520 |a 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. 
650 0 |a Coding theory. 
650 0 |a Information theory. 
650 0 |a Cryptography. 
650 0 |a Data encryption (Computer science). 
650 0 |a Difference equations. 
650 0 |a Functional equations. 
650 0 |a Discrete mathematics. 
650 1 4 |a Coding and Information Theory. 
650 2 4 |a Cryptology. 
650 2 4 |a Difference and Functional Equations. 
650 2 4 |a Discrete Mathematics. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319129921 
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776 0 8 |i Printed edition:  |z 9783319363585 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-12991-4  |z Texto Completo 
912 |a ZDB-2-SCS 
912 |a ZDB-2-SXCS 
950 |a Computer Science (SpringerNature-11645) 
950 |a Computer Science (R0) (SpringerNature-43710) 

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