Title :
Gilbert-Varshamov bound for Euclidean space codes over distance-uniform signal sets
Author :
Rajan, B. Sundar ; Subramaniam, L. Venkata ; Bahl, Rajendar
Author_Institution :
Dept. of Electr. Commun. Eng., Indian Inst. of Sci., Bangalore, India
fDate :
2/1/2002 12:00:00 AM
Abstract :
In this correspondence, in an extension of Piret´s bound for codes over phase-shift keying (PSK) signal sets, we investigate the application of the Gilbert-Varshamov (GV) bound to a variety of distance-uniform (DU) signal sets in Euclidean space. It is shown that four-dimensional signal sets matched to binary tetrahedral, binary octahedral, and binary icosahedral groups lead to better bounds compared to the bounds for signal sets matched to dicyclic groups with the same number of signal points and comparable symmetric PSK signal sets
Keywords :
modulation coding; phase shift keying; DU signal sets; Euclidean space codes; GV bound; Gilbert-Varshamov bound; PSK signal sets; Piret bound; binary icosahedral groups; binary octahedral groups; binary tetrahedral groups; dicyclic groups; distance-uniform signal sets; four-dimensional signal sets; phase-shift keying; signal points; Galois fields; Geometry; Hamming distance; Lead compounds; Mathematics; Notice of Violation; Phase shift keying;
Journal_Title :
Information Theory, IEEE Transactions on
