COURSE WEB PAGE: http://www.ma.utexas.edu/users/voloch/mathinfo5.html.
CLASS HOURS: Tue, Thu 9:30 -- 11:00 RLM 6.104
UNIQUE NUMBER: 55605
OFFICE HOURS: Wed 9:00 -- 11:00 or by appointment.
COURSE DESCRIPTION:The purpose of this course is to introduce students to applications of algebra and number theory to error-correcting codes. The theory of error-correcting codes addresses the problem of preserving data integrity during transmission or storage against interference due to noise. This is essential in many aspects of modern technology: the Internet (TCP/IP), wireless communications and cellphones, CDs and DVDs, to mention a few. We hope to discuss some of the applications along with the theory.
Topics to be covered:
Introduction to finite fields, Error Correcting Codes, Vector spaces over finite fields, Hamming norm, coding, decoding. Examples of codes. Hamming, Golay, cyclic, BCH,Reed-Muller, Reed-Solomon, etc.
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