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

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期刊全称Arithmetic of Finite Fields
期刊简称Second International
影响因子2023Joachim Gathen,José Luis Imaña,Çetin Kaya Koç
视频video
学科分类Lecture Notes in Computer Science
图书封面Titlebook: Arithmetic of Finite Fields; Second International Joachim Gathen,José Luis Imaña,Çetin Kaya Koç Conference proceedings 2008 Springer-Verlag
影响因子This book constitutes the refereed proceedings of the Second International Workshop on the Arithmetic of Finite Fields, WAIFI 2008, held in 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 construction of mappings over finite fields, and codes and cryptography.
Pindex Conference proceedings 2008
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Optimal Extension Field Inversion in the Frequency Domains the first time a frequency domain finite field inversion algorithm is proposed for elliptic curve cryptography. We believe the proposed algorithm would be well suited especially for efficient low-power hardware implementation of elliptic curve cryptography using affine coordinates in constrained s
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Efficient Finite Fields in the Maxima Computer Algebra Systemwe focused our efforts on efficient computation of primitive elements and modular roots. Our optimizations involve some heuristic methods that use “modular composition” and the generalized Tonelli-Shanks algorithm. Other open and free systems such as GP/Pari do not include in their standard packages
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Digit-Serial Structures for the Shifted Polynomial Basis Multiplication over Binary Extension Fieldsch is known as the shifted polynomial basis, has been introduced. Current research shows that this new basis provides better performance in designing bit-parallel and subquadratic space complexity multipliers over binary extension fields. In this paper, we study digit-serial multiplication algorithm
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Some Theorems on Planar Mappingso planar functions are CCZ-equivalent exactly when they are EA-equivalent. We give a sharp lower bound on the size of the image set of a planar function. Further we observe that all currently known main examples of planar functions have image sets of that minimal size.
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EA and CCZ Equivalence of Functions over ,(2,)functions. We show that they can be related to subsets .[.] and .[.] of equivalence classes [.] of transversals, respectively, thus clarifying their relationship and providing a new approach to their study. We derive a formula which characterises when two CCZ-equivalent functions are EA-inequivalent
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On the Number of Two-Weight Cyclic Codes with Composite Parity-Check Polynomialsted in [4]. On the other hand, an explicit formula for the number of one-weight cyclic codes, when the length and dimension are given, was proved in [3]. By imposing some conditions on the finite field, we now combine both results in order to give a lower bound for the number of two-weight cyclic co
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