Lattices and Codes: A Course Partially Based on Lectures by Friedrich Hirzebruch

Wolfgang Ebeling

doi:10.1007/978-3-658-00360-9

Lattices and Codes: A Course Partially Based on Lectures by Friedrich Hirzebruch

Wolfgang Ebeling

Institute of Algebraic Geometry

Research output: Book/Report › Textbook › Education › peer review

Abstract

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.

Original language	English
Place of Publication	Wiesbaden
Publisher	Springer Fachmedien Wiesbaden
Number of pages	167
Edition	3
ISBN (Electronic)	978-3-658-00360-9
ISBN (Print)	978-3-658-00359-3
DOIs	https://doi.org/10.1007/978-3-658-00360-9
Publication status	Published - 2013

Publication series

Name	Advances Lectures in Mathematics
Publisher	Springer
ISSN (Print)	0932-7134

Access to Document

10.1007/978-3-658-00360-9

https://www.springer.com/de/book/9783658003593

Cite this

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abstract = "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.",

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