Skip to main content
SpringerLink
Log in

New results on non-existence of generalized bent functions (II)

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

Several new results on non-existence of generalized bent functions are presented by using the class group of related imaginary abelian number fields.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Rothaus, O. S., On bent functions, J. of Comb. Theory (A), 1976, 20: 300–305.

    Article  MATH  MathSciNet  Google Scholar 

  2. Kumar, P. V., Scholtz, R. A., Welch, L. R., Generalized bent functions and their properties, J. of Comb. Theory (A), 1985, 40: 90–107.

    Article  MATH  MathSciNet  Google Scholar 

  3. Ikeda, M., A remark on the non-existence of generalized bent functions, in Number Theory and Its Applications (Ankara, 1996), LN in Pure and Appl. Math., Vol. 204, New York: Dekker, 1999, 109–119.

    Google Scholar 

  4. Pei, D., On non-existence of generalized bent functions, LN in Pure and Applied Math., 1993, 141: 165–172.

    MathSciNet  Google Scholar 

  5. Feng, K. Q., Generalized bent functions and class number of imaginary quadratic fields, Science in China, Ser. A, 2001, 44(5): 562–570.

    Article  MATH  Google Scholar 

  6. Moree, P., On primes in arithmetic progression having a prescribed primitive root, Jour. of Number Theory, 1999, 78: 85–98.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. The Graduate School at Beijing, University of Science and Technology of China, State Key Laboratory of Information Security, 100039, Beijing, China

    Fengmei Liu & Zhi Ma

  2. Department of Mathematical Sciences, Tsinghua University, 100084, Beijing, China

    Keqin Feng

Authors
  1. Fengmei Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhi Ma
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Keqin Feng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Keqin Feng.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, F., Ma, Z. & Feng, K. New results on non-existence of generalized bent functions (II). Sci. China Ser. A-Math. 45, 721–730 (2002). https://doi.org/10.1360/02ys9079

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1360/02ys9079

Keywords

Search

Navigation