Nega-Hadamard Transform, Bent and Negabent Functions

Abstract

In this paper we start developing a detailed theory of nega-Hadamard transforms. Consequently, we derive several results on negabentness 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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2010
Accession Number
ADA548970

Entities

People

  • Aditi K. Gangopadhyay
  • Ankita Chaturvedi
  • Pantelimon Stanica
  • Subhamoy Maitra
  • Sugata Gangopadhyay

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Autocorrelation
  • Coding
  • Complex Numbers
  • Discrete Fourier Transforms
  • Equations
  • Identities
  • Information Operations
  • Mathematics
  • Notation
  • Numbers
  • Permutations
  • Real Numbers
  • Spectra
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Mathematical Modeling and Probability Theory.