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A proof for the nonexistence of some homogeneous bent functions

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Wuhan University Journal of Natural Sciences

Abstract

By the relationship between the first linear spectra of a function at partial points and the Hamming weights of the sub-functions, and by the Hamming weight of homogenous Boolean function, it is proved that there exist no homogeneous bent functions of degreem inn=2m variables form>3.

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Authors and Affiliations

  1. School of Computer, Wuhan University, 430072, Wuhan Hubei, China

    Meng Qing-shu, Zhang Huan-guo & Wang Zhang-yi

  2. School of Software, Huazhong University of Science and Technology, 430074, Wuhan Hubei, China

    Qin Zhong-ping

Authors
  1. Meng Qing-shu
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  2. Zhang Huan-guo
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  3. Qin Zhong-ping
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  4. Wang Zhang-yi
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Corresponding author

Correspondence to Zhang Huan-guo.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (60373087, 60473023, 66973034), the National High-Technology Research and Development Plan of China (2002AA41051), the Ph. D Programs Foundation of Ministry of Education of China (20020486046)

Biography: MENG Qing-shu (1972-), male, Ph.D candidate, research direction: code and information security.

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Qing-shu, M., Huan-guo, Z., Zhong-ping, Q. et al. A proof for the nonexistence of some homogeneous bent functions. Wuhan Univ. J. Nat. Sci. 10, 504–506 (2005). https://doi.org/10.1007/BF02831133

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  • DOI: https://doi.org/10.1007/BF02831133

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