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On s-sum-sets and projective codes

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Algebraic Algorithms and Error-Correcting Codes (AAECC 1985)

Abstract

We introduce and characterize s-sum-sets which are a natural extension of partial-difference-sets and triple-sum-sets. We show that if Ω is the set of coordinate forms of C(n,k) and if X=F*Ω is an s-sum-set then C(n,k) has not more than three non-zero distinct weights.

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References

  1. CAMION P. “Difference sets in Elementary Abelian Groups”. Les Presses de l'Université de Montréal, Montréal (1979).

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  2. COURTEAU B. and WOLFMANN J. “On triple-sum-sets and two or three weights codes”. Discrete Math. 50 (1984).

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  3. GRIERA M. “Esquemes d'Associació: aplicació a Teoria de codis”. These: Universitat Autònoma de Barcelona (1984).

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  4. SZEGO G. “Orthogonal Polynomials”. Amer. Math. Soc. New York. Colloquium Publications, vol XXIII. (1959).

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Jacques Calmet

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© 1986 Springer-Verlag Berlin Heidelberg

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Griera, M., Rifà, J., Huguet, L. (1986). On s-sum-sets and projective codes. In: Calmet, J. (eds) Algebraic Algorithms and Error-Correcting Codes. AAECC 1985. Lecture Notes in Computer Science, vol 229. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-16776-5_716

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  • DOI: https://doi.org/10.1007/3-540-16776-5_716

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16776-1

  • Online ISBN: 978-3-540-39855-4

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