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  1. Applicable Algebra in Engineering, Communication and Computing
  2. Applicable Algebra in Engineering, Communication and Computing : Volume 27
  3. Applicable Algebra in Engineering, Communication and Computing : Volume 27, Issue 5, November 2016
  4. New secondary constructions of Bent functions
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Applicable Algebra in Engineering, Communication and Computing : Volume 28
Applicable Algebra in Engineering, Communication and Computing : Volume 27
Applicable Algebra in Engineering, Communication and Computing : Volume 27, Issue 6, December 2016
Applicable Algebra in Engineering, Communication and Computing : Volume 27, Issue 5, November 2016
On weak differential uniformity of vectorial Boolean functions as a cryptographic criterion
Trisection for genus 2 curves in odd characteristic
Partial permutation decoding for MacDonald codes
New secondary constructions of Bent functions
Constructions of self-dual codes and formally self-dual codes over rings
Applicable Algebra in Engineering, Communication and Computing : Volume 27, Issue 4, August 2016
Applicable Algebra in Engineering, Communication and Computing : Volume 27, Issue 3, June 2016

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New secondary constructions of Bent functions

Content Provider Springer Nature Link
Author Zhang, Wenzheng Hu, Yupu Zhang, Fengrong Carlet, Claude
Copyright Year 2016
Abstract In this paper, we first present a novel secondary construction of bent functions (building new bent functions from two already defined ones). Furthermore, the algebraic degree and algebraic immunity of the constructed functions are analysed. Finally, we apply the construction using as initial functions some specific bent functions and then specify sufficient conditions for the resulting bent functions not to be contained in the completed Maiorana–McFarland class. In the second part of the paper, we present a corrigendum of “Constructions of bent–negabent functions and their relation to the completed Maiorana–McFarland Class” (IEEE Trans Inf Theory 61(3):1496–1506, 2015).
Ending Page 434
Page Count 22
Starting Page 413
File Format PDF
ISSN 09381279
e-ISSN 14320622
Journal Applicable Algebra in Engineering, Communication and Computing
Issue Number 5
Volume Number 27
Language English
Publisher Springer Berlin Heidelberg
Publisher Date 2016-02-19
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Boolean functions Computer Hardware Bent function Artificial Intelligence (incl. Robotics) Boolean function Theory of Computation Algebraic degree Cryptography Symbolic and Algebraic Manipulation High nonlinearity
Content Type Text
Resource Type Article
Subject Applied Mathematics Algebra and Number Theory
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