Classification and Construction of quaternary self-dual bent functions View Full Text


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Article Info

DATE

2017-03-14

AUTHORS

Lin Sok, MinJia Shi, Patrick Solé

ABSTRACT

Quaternary self-dual bent functions are studied from the viewpoints of existence, construction, and symmetry. A search algorithm is described to classify their orbits under the orthogonal group in low dimensions. A connection with self-dual bent Boolean functions shows that they do not exist in odd number of variables.

PAGES

277-289

References to SciGraph publications

  • 2009. The Rayleigh Quotient of Bent Functions in CRYPTOGRAPHY AND CODING
  • 2004. On the Secondary Constructions of Resilient and Bent Functions in CODING, CRYPTOGRAPHY AND COMBINATORICS
  • 2010-12-19. Counting all bent functions in dimension eight 99270589265934370305785861242880 in DESIGNS, CODES AND CRYPTOGRAPHY
  • 2016-10-08. Partial spread and vectorial generalized bent functions in DESIGNS, CODES AND CRYPTOGRAPHY
  • 2012-02-12. Bent and generalized bent Boolean functions in DESIGNS, CODES AND CRYPTOGRAPHY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s12095-017-0216-y

    DOI

    http://dx.doi.org/10.1007/s12095-017-0216-y

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1084034065


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