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Sequences and Functions Derived from Projective Planes and Their Difference Sets

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7369)

Abstract

Many interesting features of sequences and functions defined on finite fields are related to the interplay between the additive and the multiplicative structure of the finite field. In this paper, we survey some of these objects which are related to difference set representations of projective planes.

Keywords

  • projective plane
  • semifield
  • difference set
  • sequence
  • isomorphism of incidence structures

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Pott, A., Wang, Q., Zhou, Y. (2012). Sequences and Functions Derived from Projective Planes and Their Difference Sets. In: Özbudak, F., Rodríguez-Henríquez, F. (eds) Arithmetic of Finite Fields. WAIFI 2012. Lecture Notes in Computer Science, vol 7369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31662-3_5

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  • DOI: https://doi.org/10.1007/978-3-642-31662-3_5

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