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

fYear

2013

fDate

Oct. 27 2013-Nov. 1 2013

Firstpage

36

Lastpage

39

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Design and Its Applications in Communications, The Sixth International Workshop on

Conference_Location

Tokyo

Print_ISBN

978-1-4799-6028-6

Type

conf

DOI

10.1109/IWSDA.2013.6849056

Filename

6849056