Skip to main content

Power Permutations in Dimension 32

  • Conference paper
Sequences and Their Applications – SETA 2010 (SETA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6338))

Included in the following conference series:

Abstract

In this note, we analyze power permutations having a three valued spectrum. We give new results and new proofs of results previously obtained by coding theory. We apply them to prove that Hellesth’s conjecture is true for dimension 32.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Calderbank, A.R., Blokhuis, A.: (unpublished)

    Google Scholar 

  2. Calderbank, A.R., McGuire, G., Poonen, B., Rubinstein, M.: On a conjecture of Helleseth regarding pairs of binary m-sequences. IEEE Trans. Inform. Theory 42(3), 988–990 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  3. Helleseth, T.: Some results about the cross-correlation function between two maximal linear sequences. Discrete Math. 16(3), 209–232 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  4. Katz, N., Livné, R.: Sommes de Kloosterman et courbes elliptiques universelles en caractéristiques 2 et 3. C. R. Acad. Sci. Paris Sér. I. Math. 309(11), 723–726 (1989)

    MATH  Google Scholar 

  5. Langevin, P.: Numerical projects page (2007), http://langevin.univ-tln.fr/project/spectrum

  6. Langevin, P., Véron, P.: Non-linearity of power functions. Designs Codes and Cryptography 37(1) (2005)

    Google Scholar 

  7. McGuire, G.M., Calderbank, A.R.: Proof of a conjecture of Sarwate and Pursley regarding pairs of binary m-sequences. IEEE Trans. Inform. Theory 41(4), 1153–1155 (1995)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

ÇakÇak, E., Langevin, P. (2010). Power Permutations in Dimension 32. In: Carlet, C., Pott, A. (eds) Sequences and Their Applications – SETA 2010. SETA 2010. Lecture Notes in Computer Science, vol 6338. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15874-2_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-15874-2_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15873-5

  • Online ISBN: 978-3-642-15874-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics