• Home
  • Algebraic Coding Theory

Algebraic Coding Theory


An introduction to error correcting codes. Included are: linear codes, cyclic codes, BCH codes, and convolutional codes.


Coding Theory and Cryptography: The Essentials, Hankers, et al., CRC Press, 2nd edition, 2000.

Credit Hours: 
Chapter Topics
1 Introduction to Coding Theory: information, rate, distance, error-detecting and error-correcting
2 Linear Codes: generating and parity-check matrices, syndrome decoding
3 Perfect and Related Codes: Hamming and Golay codes
4 Cyclic Linear Codes: polynomial encoding and decoding
5 BCH Codes: finite fields, minimal polynomials, two-error correcting BCH codes
6 Reed-Solomon Codes
8 Convolutional Codes

(Bayer 2015 )


Events Calendar

Using Math

CTE course transformation grant helps Emily Witt, assistant professor of math, develop active learning with student groups in calculus.  Positive results using modules developed with Justin Lyle and Amanda Wilkens, math graduate students, were attained.  Read more

Math and COVID-19: Sources on how math is being used to track the virus and its spread.  AMS link.

A mathematician-musician's breakthrough melds East, West. Read more.

Researcher's innovative approach to flood mapping support emergency management and water officials. Read more.

Nicole Johnson found a way to express her baton twirling using math. See video.