Articles liés à The Equivalence of APN and AB Functions and Their Generaliza...
Synopsis
Vectorial Boolean functions are used in cryptography, in particular in block ciphers. An important condition on these functions is a high resistance to the differential and linear cryptanalyses, which are the main attacks on block ciphers. The functions which possess the best resistance to the differential attack are called almost perfect nonlinear (APN). Almost bent (AB) functions are those mappings which oppose an optimum resistance to both linear and differential attacks. Up to this work only a few classes of APN and AB functions had been known and all these classes happened to be extended affine equivalent (EA-equivalent) to power functions. In this work we constructed the first classes of APN and AB polynomials EA-inequivalent to power mappings by using the equivalence relation (which we call CCZ-equivalence). Moreover we show that the number of different classes of AB polynomials EA-inequivalent to power functions is infinite. One of the constructed functions serves as a counterexample for a conjecture about nonexistence of AB functions EA-inequivalent to permutations.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
Vectorial Boolean functions are used in cryptography, in particular in block ciphers. An important condition on these functions is a high resistance to the differential and linear cryptanalyses, which are the main attacks on block ciphers. The functions which possess the best resistance to the differential attack are called almost perfect nonlinear (APN). Almost bent (AB) functions are those mappings which oppose an optimum resistance to both linear and differential attacks. Up to this work only a few classes of APN and AB functions had been known and all these classes happened to be extended affine equivalent (EA-equivalent) to power functions. In this work we constructed the first classes of APN and AB polynomials EA-inequivalent to power mappings by using the equivalence relation (which we call CCZ-equivalence). Moreover we show that the number of different classes of AB polynomials EA-inequivalent to power functions is infinite. One of the constructed functions serves as a counterexample for a conjecture about nonexistence of AB functions EA-inequivalent to permutations.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Acheter neuf
Afficher cet article
EUR 37,98
EUR 9,70 expédition depuis Allemagne vers France
Destinations, frais et délais
Résultats de recherche pour The Equivalence of APN and AB Functions and Their Generaliza...
Image fournie par le vendeur
The Equivalence of APN and AB Functions and Their Generalizations
Edité par
Scholars\' Press, 2018
ISBN 10 : 6202311495
ISBN 13 : 9786202311496
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Budaghyan LilyaLilya Budaghyan is a leading specialist in the field of Boolean functions and their applications. She obtained her PhD from the University of Magdeburg and habilitation degree from the University of Paris 8. An author. N° de réf. du vendeur 385941315
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
The Equivalence of APN and AB Functions and Their Generalizations
Edité par
Scholars' Press Mai 2018, 2018
ISBN 10 : 6202311495
ISBN 13 : 9786202311496
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Vectorial Boolean functions are used in cryptography, in particular in block ciphers. An important condition on these functions is a high resistance to the differential and linear cryptanalyses, which are the main attacks on block ciphers. The functions which possess the best resistance to the differential attack are called almost perfect nonlinear (APN). Almost bent (AB) functions are those mappings which oppose an optimum resistance to both linear and differential attacks. Up to this work only a few classes of APN and AB functions had been known and all these classes happened to be extended affine equivalent (EA-equivalent) to power functions. In this work we constructed the first classes of APN and AB polynomials EA-inequivalent to power mappings by using the equivalence relation (which we call CCZ-equivalence). Moreover we show that the number of different classes of AB polynomials EA-inequivalent to power functions is infinite. One of the constructed functions serves as a counterexample for a conjecture about nonexistence of AB functions EA-inequivalent to permutations. 92 pp. Englisch. N° de réf. du vendeur 9786202311496
Quantité disponible : 2 disponible(s)
Image fournie par le vendeur
The Equivalence of APN and AB Functions and Their Generalizations
impression à la demandeVendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Vectorial Boolean functions are used in cryptography, in particular in block ciphers. An important condition on these functions is a high resistance to the differential and linear cryptanalyses, which are the main attacks on block ciphers. The functions which possess the best resistance to the differential attack are called almost perfect nonlinear (APN). Almost bent (AB) functions are those mappings which oppose an optimum resistance to both linear and differential attacks. Up to this work only a few classes of APN and AB functions had been known and all these classes happened to be extended affine equivalent (EA-equivalent) to power functions. In this work we constructed the first classes of APN and AB polynomials EA-inequivalent to power mappings by using the equivalence relation (which we call CCZ-equivalence). Moreover we show that the number of different classes of AB polynomials EA-inequivalent to power functions is infinite. One of the constructed functions serves as a counterexample for a conjecture about nonexistence of AB functions EA-inequivalent to permutations. N° de réf. du vendeur 9786202311496
Quantité disponible : 1 disponible(s)
Image fournie par le vendeur
The Equivalence of APN and AB Functions and Their Generalizations
Edité par
Scholars' Press Mai 2018, 2018
ISBN 10 : 6202311495
ISBN 13 : 9786202311496
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Vectorial Boolean functions are used in cryptography, in particular in block ciphers. An important condition on these functions is a high resistance to the differential and linear cryptanalyses, which are the main attacks on block ciphers. The functions which possess the best resistance to the differential attack are called almost perfect nonlinear (APN). Almost bent (AB) functions are those mappings which oppose an optimum resistance to both linear and differential attacks. Up to this work only a few classes of APN and AB functions had been known and all these classes happened to be extended affine equivalent (EA-equivalent) to power functions. In this work we constructed the first classes of APN and AB polynomials EA-inequivalent to power mappings by using the equivalence relation (which we call CCZ-equivalence). Moreover we show that the number of different classes of AB polynomials EA-inequivalent to power functions is infinite. One of the constructed functions serves as a counterexample for a conjecture about nonexistence of AB functions EA-inequivalent to permutations.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 92 pp. Englisch. N° de réf. du vendeur 9786202311496
Quantité disponible : 1 disponible(s)
Image d'archives
The Equivalence of APN and AB Functions and Their Generalizations
Vendeur : Books Puddle, New York, NY, Etats-Unis
Évaluation du vendeur 4 sur 5 étoiles
Etat : New. N° de réf. du vendeur 26397287768
Quantité disponible : 4 disponible(s)
Image d'archives
The Equivalence of APN and AB Functions and Their Generalizations
impression à la demandeVendeur : Biblios, Frankfurt am main, HESSE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. PRINT ON DEMAND. N° de réf. du vendeur 18397287762
Quantité disponible : 4 disponible(s)
Image d'archives
The Equivalence of APN and AB Functions and Their Generalizations
impression à la demandeVendeur : Majestic Books, Hounslow, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. Print on Demand. N° de réf. du vendeur 400137863
Quantité disponible : 4 disponible(s)
Image d'archives
The Equivalence of APN and AB Functions and Their Generalizations
Vendeur : Revaluation Books, Exeter, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : Brand New. 92 pages. 8.66x5.91x0.21 inches. In Stock. N° de réf. du vendeur zk6202311495
Quantité disponible : 1 disponible(s)
Image d'archives
The Equivalence of APN and AB Functions and Their Generalizations
Vendeur : Mispah books, Redhill, SURRE, Royaume-Uni
Évaluation du vendeur 4 sur 5 étoiles
paperback. Etat : New. New. book. N° de réf. du vendeur ERICA80062023114956
Quantité disponible : 1 disponible(s)