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On Generalized Nega–Hadamard Transform

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Book cover Quality, Reliability, Security and Robustness in Heterogeneous Networks (QShine 2013)

Abstract

In this paper, we consider generalized Boolean functions from \({\mathbb Z}_2^n ~{\rm to}~ {\mathbb Z}_q\) (q ≥ 2, a positive integer). Here, we present some of the properties of generalized nega–Hadamard transform which are analogous to nega–Hadamard transform. Further, it is shown that if we represent a generalized Boolean function in terms of Boolean functions then there is a relation between their nega–Hadamard transforms.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    Ankita Chaturvedi & Aditi Kar Gangopadhyay

Authors
  1. Ankita Chaturvedi
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  2. Aditi Kar Gangopadhyay
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Editors and Affiliations

  1. Gautam Buddha University, Greater Noida, 201310, India

    Karan Singh  & Amit K. Awasthi  & 

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© 2013 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering

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Chaturvedi, A., Gangopadhyay, A.K. (2013). On Generalized Nega–Hadamard Transform. In: Singh, K., Awasthi, A.K. (eds) Quality, Reliability, Security and Robustness in Heterogeneous Networks. QShine 2013. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37949-9_67

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  • DOI: https://doi.org/10.1007/978-3-642-37949-9_67

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37948-2

  • Online ISBN: 978-3-642-37949-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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