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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.
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The Equivalence of APN and AB Functions and Their Generalizations
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Condizione: 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. Codice articolo 385941315
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The Equivalence of APN and AB Functions and Their Generalizations
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Scholars' Press Mai 2018, 2018
ISBN 10: 6202311495
ISBN 13: 9786202311496
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Taschenbuch. Condizione: 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. Codice articolo 9786202311496
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The Equivalence of APN and AB Functions and Their Generalizations
Editore:
Scholars' Press Mai 2018, 2018
ISBN 10: 6202311495
ISBN 13: 9786202311496
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: 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. Codice articolo 9786202311496
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The Equivalence of APN and AB Functions and Their Generalizations
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Taschenbuch. Condizione: 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. Codice articolo 9786202311496
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The Equivalence of APN and AB Functions and Their Generalizations
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