Cryptology ePrint Archive: Report 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.

Category / Keywords: secret-key cryptography / Generalized Boolean functions; generalized bent functions; Walsh--Hadamard transform.

Date: received 10 Jan 2012, last revised 3 Feb 2012

Contact author: bksingh0584 at gmail com

Available format(s): PDF | BibTeX Citation

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

Version: 20120203:193252 (All versions of this report)

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