DocumentCode
3039159
Title
Metrics generated by a projective point set
Author
Gabidulin, Ernst M. ; Simonis, Juriaan
Author_Institution
Inst. of Phys. & Technol., Moscow, Russia
fYear
1997
fDate
29 Jun-4 Jul 1997
Firstpage
248
Abstract
A new family of metrics is introduced. Each of these is defined by means of a spanning set F of 1-dimensional subspaces. The norm of a vector is defined as the size of a minimal subset of F whose span contains this vector. Some examples and applications are presented. A class of Varshamov-Gilbert bound based F-metrics (for binary linear codes) is established
Keywords
binary sequences; linear codes; set theory; 1D subspaces; F-metrics; Varshamov-Gilbert bound; binary linear codes; metrics generation; projective point set; vector norm; Additive noise; Galois fields; Informatics; Kernel; Lead; Mathematics; Physics; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location
Ulm
Print_ISBN
0-7803-3956-8
Type
conf
DOI
10.1109/ISIT.1997.613163
Filename
613163
Link To Document