Secondary constructions on generalized bent functions

Brajesh Kumar Singh

Paper 2012/017

Secondary constructions on generalized bent functions

Brajesh Kumar Singh

Abstract

In this paper, we construct generalized bent Boolean functions in $n+ 2$ variables from $4$ generalized Boolean functions in $n$ variables. We also show that the direct sum of two generalized bent Boolean functions is generalized bent. Finally, we identify a set of affine functions in which every function is generalized bent.

Note: Section 4 is updated and Section 5 is new one.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: Generalized Boolean functions generalized bent functions Walsh--Hadamard transform.
Contact author(s): bksingh0584 @ gmail com
History: 2012-02-03: revised; 2012-01-14: received; See all versions
Short URL: https://ia.cr/2012/017
License: CC BY

BibTeX

@misc{cryptoeprint:2012/017,
      author = {Brajesh Kumar Singh},
      title = {Secondary constructions on generalized bent functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2012/017},
      year = {2012},
      url = {https://eprint.iacr.org/2012/017}
}