Abstract
The perfect nonlinear mappings and their implementations studied in [4] where based on the Maiorana-McFarland construction of bent functions. Recently Carlet [1] presented two modifications of the Maiorana-McFarland construction and obtained two new classes of bent functions.The purpose of the present work is to give nontrivial examples of Carlet'sbent functions and construct new perfect nonlinear mappings admittingfast implementation.
Supported by the grant 41/Mdd 292/93, Matine Board, Finland
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C. Carlet, Two New Classes of Bent Functions, Eurocrypt'93, Bergen, Norway, May 1993
J. F. Dillon, Elementary Hadamard Difference Sets, Proceedings of the Sixth Southeastern Conference on Combinatorics, Graph Theory and Computing, Boca Raton, Florida, Congressus Numerantium No. XIV, Utilitas Math., Winnipeg, Manitoba, 1975, pp. 237–249
R. L. McFarland, A Family of Difference Sets in Non-Cyclic Groups, J. Combinatorial Theory, Ser. A, 15, 1973, pp. 1–10
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© 1994 Springer-Verlag Berlin Heidelberg
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Nyberg, K. (1994). New bent mappings suitable for fast implementation. In: Anderson, R. (eds) Fast Software Encryption. FSE 1993. Lecture Notes in Computer Science, vol 809. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58108-1_22
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DOI: https://doi.org/10.1007/3-540-58108-1_22
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