Abstract
The relation between a cyclic relative difference set and a cyclic difference set is considered. Both the sets are with Singer parameters and can be constructed from a difference-balanced d-form function. Although neither of the inversions of Klapper A.′s and No J. S.′s main theorems is true, we prove that a difference-balanced d-form function can be obtained by the cyclic relative difference set and the cyclic difference set introduced by these two main theorems respectively.
Project supported by the National Natural Science Foundations of China (No.60473028) and (No.60503009).
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Yan, T., Du, X., Bai, E., Xiao, G. (2007). Some Notes on d-Form Functions with Difference-Balanced Property. In: Carlet, C., Sunar, B. (eds) Arithmetic of Finite Fields. WAIFI 2007. Lecture Notes in Computer Science, vol 4547. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73074-3_2
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DOI: https://doi.org/10.1007/978-3-540-73074-3_2
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