Clemson University

Algebraic and Discrete Math Seminar Presents Anthony Várilly-Alvarado

Title: Rational surfaces and locally recoverable codes

Abstract:  Motivated by large-scale storage problems around data loss, a budding branch of coding theory has surfaced in the last decade or so, centered around locally recoverable codes.  These codes have the property that individual symbols in a codeword are functions of other symbols in the same word.  If a symbol is lost (as opposed to corrupted), it can be recomputed, and hence a code word can be repaired.  Algebraic geometry has a role to play in the design of codes with locality properties. In this talk I will explain how to use algebraic surfaces to both reinterpret constructions of optimal codes already found in the literature, and to find new locally recoverable codes, many of which are optimal (in a suitable sense).  This is joint work with Cecília Salgado and Felipe Voloch.

Wednesday, December 1 at 11:15am

Virtual Event
Event Type

Lectures / Seminars / Speakers

Departments

College of Science, Mathematical Sciences

Website

https://www.math.clemson.edu/adm-semi...

Contact Name:

Ryann Cartor

Contact Phone:

864-656-5239

Contact Email:

rcartor@clemson.edu

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