DocumentCode
2470266
Title
Splittings of cyclic groups, tilings of Euclidean space, and perfect shift codes
Author
Tamm, Ulrich
Author_Institution
Dept. of Math., Bielefeld Univ., Germany
fYear
1998
fDate
16-21 Aug 1998
Firstpage
245
Abstract
Often in mathematics there is a deep interplay between algebra and geometry. So, splittings of groups correspond to lattice tilings of the Euclidean space by certain star bodies. This links two code concepts, which at first glance do not seem to be closely related: shift codes and codes in the Lee metric and error measures defined by similar spheres (“Stein sphere” and “Stein corner”) around a codeword
Keywords
cyclic codes; error correction codes; group codes; lattice theory; Euclidean space tilings; Lee metric; Stein corner; Stein sphere; algebra; code concepts; codeword; cyclic groups splittings; error measures; geometry; lattice tilings; perfect shift codes; shift codes; star bodies; Algebra; Error correction codes; Geometry; Lattices; Mathematics;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
Conference_Location
Cambridge, MA
Print_ISBN
0-7803-5000-6
Type
conf
DOI
10.1109/ISIT.1998.708850
Filename
708850
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