Title :
On correlation properties of 4-phase with zero points from constant-weight sequences over GF(5)
Author :
Kaida, Takahiro ; Junru Zheng
Author_Institution :
Dept. of Inf. & Comput. Sci., Kinki Univ., Iizuka, Japan
fDate :
Oct. 27 2013-Nov. 1 2013
Abstract :
We proposed a method for constructing constant-weight and multi-valued sequences from the cyclic difference sets by generalization of the method in binary case proposed by N.Li, X.Zeng and L.Hu in 2008. In this paper we give some properties about a set of such sequences by constant-weight sequences over GF(5) with length 21 from the (21, 5, 1)-cyclic difference set. It has almost highest linear complexities and good profiles of all sequences´ linear complexities. Moreover we investigate new correlations method as the 4-phase with zero points for a set of sequences over GF(5) with length 21 and an example is given.
Keywords :
Galois fields; binary codes; binary sequences; correlation theory; cyclic codes; linear codes; set theory; GF; binary sequences; constant weight sequence; correlation method; cyclic difference set; linear complexity; multivalued sequence; zero point; Complexity theory; Correlation; Educational institutions; Hamming distance; Hamming weight; Transmission line matrix methods; Vectors;
Conference_Titel :
Signal Design and Its Applications in Communications, The Sixth International Workshop on
Conference_Location :
Tokyo
Print_ISBN :
978-1-4799-6028-6
DOI :
10.1109/IWSDA.2013.6849056
