Algebraic Geometry for Coding Theory and Cryptography

22nd February 2016   -   26th February 2016
Institute for Pure and Applied Mathematics (IPAM),, United States
http://www.mathprograms.org/db/programs/369 URL: www.ipam.ucla.edu/agc2016

Abstract

Coding theory and cryptography are important in everyday life, because they form some of the building blocks of e-commerce. Error-correction via coding theory protects information as it is stored or sent, and efficient error-correction may provide significant benefits and cost-savings for enterprise. Cryptographic systems are necessary to secure information in storage, transmission, and interaction, and provide both confidentiality and authenticity guarantees. While there has always been significant and fruitful interaction between algebraic geometry and both coding theory and cryptography, new directions in coding theory-such as locally decodable codes, codes for distributed storage systems, and network coding-suggest the possibility of new connections with algebraic geometry. Participants will spend one week working together in small groups on one of six projects related to the theme of the workshop.

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