New classes of p-ary bent functions
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Authors
Mandal, Bimal
Stănică, Pantelimon
Gangopadhyay, Sugata
Subjects
Subspace sum
p-ary bent functions
Affine invariance
p-ary bent functions
Affine invariance
Advisors
Date of Issue
2019
Date
2019
Publisher
Springer
Language
Abstract
In this paper, we consider the p-ary functions from Fnp to Fp, where p is an odd prime. We characterize the subspace sum concept (depending upon the derivative) and give many of its properties. In particular, we show that the subspace sum of p-ary functions with respect to a subspace of Fnp is an affine invariant. Further, we construct two new classes of p-ary bent functions, which do not contain one another.
Type
Article
Description
The article of record as published may be found at https://doi.org/10.1007/s12095-018-0290-9
Series/Report No
Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
The first two authors thank the Centre of Excellence in Cryptology (CoEC) and R. C. Bose Centre for Cryptology and Security of Indian Statistical Institute, Kolkata, for supporting their visits at the Indian Statistical Institute, Kolkata, during which period the above work was carried on.
Funding
Format
16 p.
Citation
B. Mandal, P. Stanica, S. Gangopadhyay, New classes of p-ary bent functions, Cryptography and Communications 11 (2019), 77-92.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.