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On differential spectra of involutions with low differential uniformity over finite fields with even characteristic

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Abstract

In this paper, we determine the differential spectra of two known classes of involutions with low differential uniformity over finite fields with even characteristic completely. The key point of our method is that we propose several new definitions called special and ordinary points. In addition, it is interesting that one of our differential spectra is relative to the well-known Kloosterman sum.

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Acknowledgements

The authors deeply thank the anonymous reviewers for their valuable comments and suggestions which have highly improved the manuscript.

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Correspondence to Kangquan Li.

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Liu, G., Jiang, S. & Li, K. On differential spectra of involutions with low differential uniformity over finite fields with even characteristic. AAECC (2024). https://doi.org/10.1007/s00200-024-00646-6

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  • DOI: https://doi.org/10.1007/s00200-024-00646-6

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