Western Illinois University: Macomb Campus
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Department of Mathematics
Undergraduate Research-Math 444
Name: Tom Blackford
Areas of Interest: Algebraic coding theory, algebra, combinatorics
Description: Coding theory involves the transmission of encoded information across a noisy communications channel. It has been used in telegraphs, computers, CD-players and cash registers. It provides mathematical algorithms to correct errors in transmission. Often information is transmitted as blocks of binary digits, and an algebraic structure is put on these blocks. This leads for formation of special types of codes including cyclic, negacyclic, and quasi-cyclic codes. Techniques in linear and abstract algebra are used in decoding and error-correcting.
I am looking for a student who is interested in studying algebraic coding theory and in particular cyclic codes and their generalizations. I will provide any abstract algebra that is needed.