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.
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Acknowledgements
The first author is supported by China Postdoctoral Science Foundation funded project (2016M601991), and the second author (corresponding author) is supported by NNSF of China (61672036), Technology Foundation for Selected Overseas Chinese Scholar, Ministry of Personnel of China (05015133), the Open Research Fund of National Mobile Communications Research Laboratory, Southeast University (2015D11) and Key projects of support program for outstanding young talents in Colleges and Universities (gxyqZD2016008). We thank the referees for their helpful remarks and comments.
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This article is part of the Topical Collection on Sequences and Their Applications.
This paper was partly presented in SETA 2016 conference, Chengdu, China, 09-14 October 2016
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Sok, L., Shi, M. & Solé, P. Classification and Construction of quaternary self-dual bent functions. Cryptogr. Commun. 10, 277–289 (2018). https://doi.org/10.1007/s12095-017-0216-y
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DOI: https://doi.org/10.1007/s12095-017-0216-y