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Mixed covering codes with two binary and four ternary coordinates

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 948))

Abstract

In this note we find the exact value of K 2,3(2, 4)- the minimum number of codewords in a code C with 2 binary and 4 ternary coordinates and covering radius 1. Namely, we prove that K 2,3(2,4)=36.

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References

  1. E.Kolev: Coverings and spectrums of codes over finite fields, Ph.D. thesis, Sofia University, November, 1993.

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  2. E.Kolev and I.Landgev: On some mixed covering codes of small length, Springer-Verlag Lecture Notes in Computer Science, vol.781, 1994, pp. 38–50.

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  3. Heikki Hämäläinen and Seppo Rankinen: Upper bound for football pool problems and mixed covering codes, J. Comb. Theory A, vol.56, No1, 1991, pp.84–95.

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Gérard Cohen Marc Giusti Teo Mora

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© 1995 Springer-Verlag Berlin Heidelberg

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Kolev, E. (1995). Mixed covering codes with two binary and four ternary coordinates. In: Cohen, G., Giusti, M., Mora, T. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 1995. Lecture Notes in Computer Science, vol 948. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60114-7_23

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  • DOI: https://doi.org/10.1007/3-540-60114-7_23

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60114-2

  • Online ISBN: 978-3-540-49440-9

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