書(shū)目名稱 | Lattices and Codes |
副標(biāo)題 | A Course Partially B |
編輯 | Wolfgang Ebeling |
視頻video | http://file.papertrans.cn/582/581954/581954.mp4 |
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 |
叢書(shū)名稱 | Advanced Lectures in Mathematics |
圖書(shū)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 |
關(guān)鍵詞 | 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 |