Title :
Metrics generated by a projective point set
Author :
Gabidulin, Ernst M. ; Simonis, Juriaan
Author_Institution :
Inst. of Phys. & Technol., Moscow, Russia
fDate :
29 Jun-4 Jul 1997
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;
Conference_Titel :
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location :
Ulm
Print_ISBN :
0-7803-3956-8
DOI :
10.1109/ISIT.1997.613163
