Titlebook: Arithmetic of Finite Fields; Second International Joachim Gathen,José Luis Imaña,Çetin Kaya Koç Conference proceedings 2008 Springer-Verlag

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Montgomery Ladder for All Genus 2 Curves in Characteristic 2this method was known for elliptic curves and for genus 2 curves in odd characteristic. We obtain an algorithm that is competitive compared to usual methods of scalar multiplication and that has additional properties such as resistance to simple side-channel attacks. Moreover it provides a significa

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On Cryptographically Significant Mappings over GF(2,) that takes . binary inputs whose image is a binary .-tuple; therefore it is represented as .. One of the most important cryptographic applications is the case . = ., thus the S-box may be viewed as a function over .. We show that certain classes of functions over . do not possess a cryptographic pr

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Conference proceedings 2008ections on structures in finite fields, efficient finite field arithmetic, efficient implementation and architectures, classification and construction of mappings over finite fields, and codes and cryptography.

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0302-9743 topical sections on structures in finite fields, efficient finite field arithmetic, efficient implementation and architectures, classification and construction of mappings over finite fields, and codes and cryptography.978-3-540-69498-4978-3-540-69499-1Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Basics of Expert System Technology, any support for finite fields. The computation of the primitive element in Maxima is now faster than in Axiom. Our package provides a more user-friendly interface for teaching than other comparable systems.

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K. P. Valavanis,S. G. Tzafestasnt speed-up of scalar multiplication in many cases. This new algorithm has very important applications in cryptography using hyperelliptic curves and more particularly for people interested in cryptography on embedded systems (such as smart cards).

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Efficient Finite Fields in the Maxima Computer Algebra System any support for finite fields. The computation of the primitive element in Maxima is now faster than in Axiom. Our package provides a more user-friendly interface for teaching than other comparable systems.

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0302-9743 Siena, Italy, in July 2008. The 16 revised full papers presented were carefully reviewed and selected from 34 submissions. The papers are organized in topical sections on structures in finite fields, efficient finite field arithmetic, efficient implementation and architectures, classification and co