Abstract
A small portion of linear algebra and combinatorics are used in the development of Hamming codes, the first-generation error control codes. The design of error control codes such as BCH codes and Reed–Solomon codes relies on the structures of Galois fields and polynomials over Galois fields. This chapter presents briefly algebraic tools for understanding of Galois field theory used in error-correcting codes design.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Rao, K.D. (2019). Galois Field Theory. In: Channel Coding Techniques for Wireless Communications. Forum for Interdisciplinary Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-15-0561-4_3
Download citation
DOI: https://doi.org/10.1007/978-981-15-0561-4_3
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-0560-7
Online ISBN: 978-981-15-0561-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)