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Further Connections Between Codes and Lattices

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Sphere Packings, Lattices and Groups

Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 290))

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Abstract

This chapter contains further investigations of the connections between codes and sphere packings. Constructions A and B of Chapter 5 are analyzed in greater detail and are generalized to complex lattices. We also study self-dual codes and lattices and their weight enumerators and theta series.

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© 1993 Springer Science+Business Media New York

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Sloane, N.J.A. (1993). Further Connections Between Codes and Lattices. In: Sphere Packings, Lattices and Groups. Grundlehren der mathematischen Wissenschaften, vol 290. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2249-9_7

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  • DOI: https://doi.org/10.1007/978-1-4757-2249-9_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-2251-2

  • Online ISBN: 978-1-4757-2249-9

  • eBook Packages: Springer Book Archive

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