Properties of Finite Fields

  • Alko R. Meijer
Part of the Springer Undergraduate Texts in Mathematics and Technology book series (SUMAT)


In this chapter we shall use the construction of the previous chapter, and discuss some of the most important properties of finite fields. While we shall generally discuss our results in terms of fields of characteristic p, in our examples we shall concentrate on the case p = 2, which is, for many applications, and especially those in secret key cryptography, the most important case. For example, in the case of Rijndael, the Advanced Encryption Standard, most of the computations take place in the field GF(28).

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Alko R. Meijer
    • 1
  1. 1.Tokai, Cape TownSouth Africa

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