A Novel Family of Complex Hadamard Matrices with Cyclically Distinct Rows and Large Linear Span

Author

Zeng, Fanxin

Author_Institution

Dept. of Inf. Eng., Chongqing Commun. Inst., Chongqing, China

Volume

1

fYear

2009

fDate

March 31 2009-April 2 2009

Firstpage

203

Lastpage

207

Abstract

Hadamard matrices are widely applied to communications. A novel family of complex Hadamard matrices, whose rows are cyclically distinct and have large linear span, is presented. As a consequence,the security of the system employing the proposed complex Hadamard matrices is greatly improved, which means that these new complex Hadamard matrices are good candidates in engineering applications.In addition, the proposed method in this paper can also produce binary Hadamard matrices, which is carried out by setting simply the parameter p = 2.

Keywords

Hadamard matrices; telecommunication; binary Hadamard matrices; communications; complex Hadamard matrices; engineering applications; linear span; system security; Communication system security; Computer science; Cryptography; Decoding; Error correction; Error correction codes; Galois fields; Information security; Multiaccess communication; Multiple access interference; Hadamard matrices; complex; cyclically distinct; span;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science and Information Engineering, 2009 WRI World Congress on

Conference_Location

Los Angeles, CA

Print_ISBN

978-0-7695-3507-4

Type

conf

DOI

10.1109/CSIE.2009.109

Filename

5171162