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Two new upper bounds for codes of distance 3

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Algebraic Coding (Algebraic Coding 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 781))

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Abstract

We prove that the (10,40,4) code found by Best is unique. We then employ this fact to show that A(10,3)= A(11,4)≤78 and A(11,3)=A(12,4)≤156.

The paper is a part of [9] submitted to IEEE Transactions on Information Theory.

Research supported by a grant from the Israeli Ministry of Science and Technology and the Guastallo Fellowship.

Research supported in part by the Rothschild Fellowship.

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References

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G. Cohen S. Litsyn A. Lobstein G. Zémor

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© 1994 Springer-Verlag Berlin Heidelberg

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Litsyn, S., Vardy, A. (1994). Two new upper bounds for codes of distance 3. In: Cohen, G., Litsyn, S., Lobstein, A., Zémor, G. (eds) Algebraic Coding. Algebraic Coding 1993. Lecture Notes in Computer Science, vol 781. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57843-9_26

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  • DOI: https://doi.org/10.1007/3-540-57843-9_26

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57843-7

  • Online ISBN: 978-3-540-48357-1

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