Skip to main content
Log in

Distribution of 0 and 1 in the highest level of primitive sequences overZ/(2e) (II)

  • Bulletin
  • Published:
Chinese Science Bulletin

Abstract

The distribution of 0 and 1 is studied in the highest level ar− 1 of primitive sequences over Z/(2e). It is proved that the proportion of 0 (or 1) in one period of ae 1 is between 40% and 60% for e≥8.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ward, M., The arithmetical theory of linear recurring sequences,Trans. Amr. Math. Soc., 1933. 35(6): 600.

    Article  Google Scholar 

  2. Dai Zongduo, Huang Minqiang. A criterion for primitivenew of polynomials overZ mod2 d Chinese Science Bulletin. 1991. 36(11): 892.

    Google Scholar 

  3. Huang Minqiang, Dai Zongduo. Projective mps of linear recurring sequences with maxim1p-adic periods,Fibonacci Quart., 1992. 30(2): 139.

    Google Scholar 

  4. Dai Zongduo, Binary sequences derived from ML-sequences over rings I: periods and minimal polynomials,Journal of Cryptology. 1990. 5(2): 193.

    Google Scholar 

  5. Qi Wenfeng. Zhou Jinjun. Distribution of 0 and 1 in the highest level of primitive sequences over Z/(2e).Science in China, Ser. A. 1997, 40(6): 606.

    Article  Google Scholar 

  6. Kuzmin, A. S., The distribution of elements on cycles of linear recurrents over rings of residues.Russian Mathmatical Survey, 1992, 47(6): 219.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Qi, W., Zhou, J. Distribution of 0 and 1 in the highest level of primitive sequences overZ/(2e) (II). Chin. Sci. Bull. 43, 633–635 (1998). https://doi.org/10.1007/BF02883561

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02883561

Keywords

Navigation