书目名称 | Lattices and Codes |
副标题 | A Course Partially B |
编辑 | Wolfgang Ebeling |
视频video | |
概述 | Master course on the relationship between coding theory and the.theory of integral lattices.Linking classical mathematics to modern aspects in the design of codes.With many examples and connections to |
丛书名称 | Advanced Lectures in Mathematics |
图书封面 |  |
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. In this book, examples of such connections are presented. The relation between lattices studied in number theory and geometry and error-correcting codes is discussed. The book provides at the same time an introduction to the theory of integral lattices and modular forms and to coding theory..In the 3rd edition, again numerous corrections and improvements have been made and the text has been updated. |
出版日期 | Textbook 2013Latest edition |
关键词 | Leech lattice; modular forms; self-dual codes; theta functions; unimodular lattices; weight enumerators |
版次 | 3 |
doi | https://doi.org/10.1007/978-3-658-00360-9 |
isbn_softcover | 978-3-658-00359-3 |
isbn_ebook | 978-3-658-00360-9Series ISSN 0932-7134 Series E-ISSN 2512-7039 |
issn_series | 0932-7134 |
copyright | Springer Fachmedien Wiesbaden 2013 |