Abstract
In succeeding chapters we shall make extensive use of the algebraic structure known as a finite field. The reader already familiar with the elementary properties of finite fields may wish to proceed directly to Chapter 3. As the material regarding minimal polynomials (§2.4) and Zech’s log tables (§2.6) is not referenced until §5.8, other readers may wish to bypass these sec tions until that time. For a more complete introduction to finite fields, the reader is invited to consult [McEliece 87], and for further details, the definitive reference [Lidl 84].
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
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer Science+Business Media New York
About this chapter
Cite this chapter
Vanstone, S.A., van Oorschot, P.C. (1989). Finite Fields. In: An Introduction to Error Correcting Codes with Applications. The Springer International Series in Engineering and Computer Science, vol 71. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2032-7_2
Download citation
DOI: https://doi.org/10.1007/978-1-4757-2032-7_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-5117-5
Online ISBN: 978-1-4757-2032-7
eBook Packages: Springer Book Archive