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Titlebook: Lattices and Codes; A Course Partially B Wolfgang Ebeling Textbook 19941st edition Springer Fachmedien Wiesbaden 1994 Dimension.algebra.cla

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書目名稱Lattices and Codes
副標(biāo)題A Course Partially B
編輯Wolfgang Ebeling
視頻videohttp://file.papertrans.cn/582/581956/581956.mp4
叢書名稱Advanced Lectures in Mathematics
圖書封面Titlebook: Lattices and Codes; A Course Partially B Wolfgang Ebeling Textbook 19941st edition Springer Fachmedien Wiesbaden 1994 Dimension.algebra.cla
描述The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in pure mathematics. This book is about an example of such a connection: the relation between codes and lattices. Lattices are studied in number theory and in the geometry of numbers. Many problems about codes have their counterpart in problems about lattices and sphere packings. We give a detailed introduction to these relations including recent results of G. van der Geer and F. Hirzebruch. Let us explain the history of this book. In [LPS82] J. S. Leon, V. Pless, and N. J. A. Sloane considered the Lee weight enumerators of self-dual codes over the prime field of characteristic 5. They wrote in the introduction to their paper: "The weight enumerator of anyone of the codes . . . is strongly constrained: it must be invariant under a three-dimensional representation of the icosahedral group. These invariants were already known to Felix Klein, and
出版日期Textbook 19941st edition
關(guān)鍵詞Dimension; algebra; classification; code; coding; coding theory; design; error-correcting code; history; info
版次1
doihttps://doi.org/10.1007/978-3-322-96879-1
isbn_ebook978-3-322-96879-1Series ISSN 0932-7134 Series E-ISSN 2512-7039
issn_series 0932-7134
copyrightSpringer Fachmedien Wiesbaden 1994
The information of publication is updating

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anti-LGBT congregants, the struggles of a kid seeking gender transition, and the ongoing battle between progress and tradition in the American south. Homecoming Queens can be read purely for pleasure or used as978-94-6351-209-1
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Wolfgang Ebelinganti-LGBT congregants, the struggles of a kid seeking gender transition, and the ongoing battle between progress and tradition in the American south. Homecoming Queens can be read purely for pleasure or used as978-94-6351-209-1
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anti-LGBT congregants, the struggles of a kid seeking gender transition, and the ongoing battle between progress and tradition in the American south. Homecoming Queens can be read purely for pleasure or used as978-94-6351-209-1
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Wolfgang Ebelingstory and ghosts of the town, the tension between an LGBT friendly pastor and some of his anti-LGBT congregants, the struggles of a kid seeking gender transition, and the ongoing battle between progress and tradition in the American south. Homecoming Queens can be read purely for pleasure or used as
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0932-7134 tain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in pure mathematics. This book is about an example of such a connection: the relation between co
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