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International Conference on Sequences and Their Applications

SETA 2012: Sequences and Their Applications – SETA 2012 pp 13–24Cite as

Nonexistence of Certain Almost p-ary Perfect Sequences

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7280))

Abstract

We prove nonexistence of almost p-ary perfect sequences of period n + 1, where n ∈ {50, 76, 94, 99, 100} and p is an odd prime dividing n − 1. This answers a question of Chee, Tan and Zhou.

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References

  1. Beth, T., Jungnickel, D., Lenz, H.: Design Theory, 2nd edn. Cambridge University Press, New York (1999)

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  2. Chee, Y.M., Tan, Y., Zhou, Y.: Almost p-Ary Perfect Sequences. In: Carlet, C., Pott, A. (eds.) SETA 2010. LNCS, vol. 6338, pp. 399–415. Springer, Heidelberg (2010)

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  3. Jungnickel, D., Pott, A.: Perfect and almost perfect sequences. Discrete Applied Mathematics 95(1-3), 331–359 (1999)

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  4. Ma, S.L., Ng, W.S.: On nonexistence of perfect and nearly perfect sequences. Int. J. Inf. Coding Theory 1(1), 14–38 (2009)

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  5. Pott, A.: Finite Geometry and Character Theory. LNM, vol. 1601. Springer, Heidelberg (1995)

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Author information

Authors and Affiliations

  1. Institute of Applied Mathematics, Middle East Technical University, Dumlupınar Bul., No:1, 06800, Ankara, Turkey

    Ferruh Özbudak, Oğuz Yayla & C. Cengiz Yıldırım

  2. Department of Mathematics, Middle East Technical University, Dumlupınar Bul., No:1, 06800, Ankara, Turkey

    Ferruh Özbudak

Authors
  1. Ferruh Özbudak
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  2. Oğuz Yayla
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  3. C. Cengiz Yıldırım
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Editor information

Editors and Affiliations

  1. Department of Informatics, University of Bergen, P.O. Box 7803, 5020, Bergen, Norway

    Tor Helleseth

  2. Department of Mathematics, Simon Fraser University, 8888 University Drive, V5A 1S6, Burnaby, BC, Canada

    Jonathan Jedwab

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© 2012 Springer-Verlag Berlin Heidelberg

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Özbudak, F., Yayla, O., Yıldırım, C.C. (2012). Nonexistence of Certain Almost p-ary Perfect Sequences. In: Helleseth, T., Jedwab, J. (eds) Sequences and Their Applications – SETA 2012. SETA 2012. Lecture Notes in Computer Science, vol 7280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30615-0_2

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  • DOI: https://doi.org/10.1007/978-3-642-30615-0_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30614-3

  • Online ISBN: 978-3-642-30615-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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