Nega-hadamard transform, bent and Negabent functions

  • Authors:
  • Pantelimon Stănică;Sugata Gangopadhyay;Ankita Chaturvedi;Aditi Kar Gangopadhyay;Subhamoy Maitra

  • Affiliations:
  • Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA;Department of Mathematics, Indian Institute of Technology Roorkee, India;Department of Mathematics, Indian Institute of Technology Roorkee, India;Department of Mathematics, Indian Institute of Technology Roorkee, India;Applied Statistics Unit, Indian Statistical Institute, Calcutta, India

  • Venue:
  • SETA'10 Proceedings of the 6th international conference on Sequences and their applications
  • Year:
  • 2010

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Abstract

In this paper we start developing a detailed theory of nega-Hadamard transforms. Consequently, we derive several results on ne-gabentness of concatenations, and partially-symmetric functions. We also obtain a characterization of bent-negabent functions in a subclass of Maiorana-McFarland set. As a by-product of our results we obtain simple proofs of several existing facts.