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Titlebook: Arithmetic of Finite Fields; Third International M. Anwar Hasan,Tor Helleseth Conference proceedings 2010 Springer-Verlag Berlin Heidelber

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On Rationality of the Intersection Points of a Line with a Plane Quarticf a line such that the intersection points with . are all rational. Using another approach, we further prove the existence of a tangent line with the same property as soon as char. and . ≥ 66. + 1. Finally, we study the probability of the existence of a rational flex on . and exhibit a curious behav
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Efficient Time-Area Scalable ECC Processor Using ,-Coding Techniquestandards curves for application in resource constrained environments. A new architecture based on the microcoding technique and targeted to FPGAs is presented for the implementation of a low resource ECC processor design that is scalable to support the 131, 163, 283, 571 bits suite of recommended c
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Delaying Mismatched Field Multiplications in Pairing Computationswe show that our technique can be easily integrated into traditional pairing algorithms; implementers can exploit the computational savings herein by applying only minor changes to existing pairing code.
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https://doi.org/10.1007/978-1-4302-1842-5aded. Regenerating codes are a new class of codes which minimize the repair bandwidth while retaining the reconstruction property. This paper provides an overview of regenerating codes including a discussion on the explicit construction of optimum codes.
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Regenerating Codes for Distributed Storage Networksaded. Regenerating codes are a new class of codes which minimize the repair bandwidth while retaining the reconstruction property. This paper provides an overview of regenerating codes including a discussion on the explicit construction of optimum codes.
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Efficient Time-Area Scalable ECC Processor Using ,-Coding Techniquent multiplication compared to a full hardware implementation; this makes such approach attractive for numerous applications, where the hardware resources are scarce, as in security in wireless sensor nodes, mobile handsets, and smart cards.
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Testing Variables and Assigning Defaultscryptosystems. We propose a hardware architecture for the modular multiplier that is based on our method. The results show that, concerning the speed, our proposed architecture outperforms the modular multiplier based on standard bipartite modular multiplication. Additionally, our design consumes less area compared to the standard solutions.
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