Quotient Subcode Set and Inverse Relative Dimension/Length Profile

Author

Peisheng Wang ; Yuan Luo ; Vinck, A. J. Han

Author_Institution

Shanghai Jiao Tong Univ., Shanghai

fYear

2007

fDate

23-27 Sept. 2007

Firstpage

128

Lastpage

132

Abstract

The generalized hamming weight played an important role in coding theory. In the study of the wiretap channel of type II, the generalized hamming weight was extended to a two-code format. Two equivalent concepts of the generalized hamming weight hierarchy and its two-code format, are the inverse dimension/length profile (IDLP) and the inverse relative dimension/length profile (IRDLP), respectively. In this paper, the relations between the IDLP and the IRDLP are investigated. By using a quotient subcode set, the singleton bound on the IRDLP is improved by different methods. The new bounds are useful for the study of a coordinated two-party wiretap channel of type II.

Keywords

Hamming codes; channel coding; Hamming weight; coding theory; inverse relative dimension-length profile; quotient subcode set; two-code format; type II wiretap channel; Computer science; Dictionaries; Electronic mail; Hamming weight; Linear code; Security; Upper bound; generalized Hamming weight; inverse relative dimension/length profile; quotient subcode set; wiretap channel of type II;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Design and Its Applications in Communications, 2007. IWSDA 2007. 3rd International Workshop on

Conference_Location

Chengdu

Print_ISBN

978-1-4244-1074-3

Electronic_ISBN

978-1-4244-1074-3

Type

conf

DOI

10.1109/IWSDA.2007.4408340

Filename

4408340