On the dual of monomial quadratic p-ary bent functions

Authors:
Tor Helleseth;Alexander Kholosha
Affiliations:
The Selmer Center, Department of Informatics, University of Bergen, Bergen, Norway;The Selmer Center, Department of Informatics, University of Bergen, Bergen, Norway
Venue:
SSC'07 Proceedings of the 2007 international conference on Sequences, subsequences, and consequences
Year:
2007

Citing 3
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Abstract

Considered are quadratic p-ary bent functions having the form f(x) = Trn(axpj+1). Described is the general Gold-like class of bent functions that covers all the previously known monomial quadratic cases. Obtained is the exact value of the Walsh transform coefficients for a bent function in this class. In particular, presented is an explicit expressions for a dual of a monomial quadratic bent function which is a bent functions on its own. This gives new examples of generalized bent functions not previously reported in the literature. The paper is the follow-up to Helleseth-Kholosha 2006.