Lattices and Codes

The purpose of coding theory is the design of efficient systems forthe transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisinglyproblems which are interesting for the design of codes turn out to beclosely related to problems studied partly earlier and independentlyin pure mathematics. In this book, examples of such connections arepresented. The relation between lattices studied in number theory and geometry and error-correcting codes is discussed. The book providesat the same time an introduction to the theory of integral latticesand modular forms and to coding theory. In the 3rd edition, again numerous corrections and improvements havebeen made and the text has been updated.