Title :
Codes and lattices
Author_Institution :
AT&T, Florham Park, NJ, USA
Abstract :
Summary form only given. The author reports on the progress on Shannon´s old problem of finding the best way to pack billiard balls in n=2WT dimensions. Thanks to the efforts of a number of people, we now have reasonably good packings in perhaps the first 64 dimensions. Many-but not all-of the new constructions make use of codes, although we now have to allow codes over rings as well as fields
Keywords :
codes; Shannon´s problem; billiard balls packing; codes; dimensions; fields; lattices; rings; Bibliographies; Books; Lattices;
Conference_Titel :
Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
0-7803-5000-6
DOI :
10.1109/ISIT.1998.708577
