Boolean Functions

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


Following from our previous chapter in which we noted some properties that we require in Boolean functions which are to be used as combining functions and filter functions, we now look at Boolean functions more closely. We start with an efficient way of determining the Algebraic Normal Form of a Boolean function, given its outputs for all possible inputs (and conversely) and then proceed with the Walsh–Hadamard transform and its applications to the kind of problems that we have identified. We end the chapter with a brief introduction to the Discrete Fourier Transform, where our knowledge of finite fields is required once again.


Boolean Function Discrete Fourier Transform Linear Structure Block Cipher Stream Cipher 
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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

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

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