Computational aspects of retrieving a representation of an algebraic geometry code

Computational aspects of retrieving a representation of an algebraic geometry code

Code-based cryptography is an interesting alternative to classic number-theoretic public key cryptosystem since it is conjectured to be secure against quantum computer attacks. Many families of codes have been proposed for these cryptosystems such as algebraic geometry codes. In [62] for so called very strong algebraic geometry codes C = CL(X ,P, E), where X is an algebraic curve over Fq, P is ...

Computational algebraic geometry

Algebraic geometry is a powerful combination of algebra and geometry, with a rich history and many applications, both theoretical and practical. It also has an intimidating reputation. Hence it is important to have a variety of introductory texts at different levels of sophistication. We will see that Schenck's book offers an interesting path into this wonderful subject. 1. What is algebraic ge...

Computational Algebraic Geometry

Algebraic Matching of Vulnerabilities in a Low-Level Code

This paper explores the algebraic matching approach for detection of vulnerabilities in binary codes. The algebraic programming system is used for implementing this method. It is anticipated that models of vulnerabilities and programs to be verified are presented as behavior algebra and action language specifications. The methods of algebraic matching are based on rewriting rules and techniques...

Voxels as a Computational Representation of Geometry

This paper is a survey of volume visualization, volume graphics, and volume rendering techniques. It focuses specifically on the use of the voxel representation and volumetric techniques for geometric applications.