Title :
An application of the relative network Generalized Hamming weight to erroneous wiretap networks
Author :
Zhang, Zhixue ; Zhuang, Bojin
Author_Institution :
Sch. of Inf. & Commun. Eng., Beijing Univ. of Posts & Telecommun., Beijing, China
Abstract :
This paper demonstrates that the relative network generalized Hamming weight (RNGHW) of a nested code fully characterizes the security performance of the corresponding nested coset coding scheme for erroneous wiretap networks with a given linear network code. Specifically, when the nested coset coding specified by a nested code (C1, C2) is applied at the source node, the RNGHW of the nested code (C2 ¿, C1 ¿) characterizes the equivocation of the wiretapper about the secure message, where C2 is a subcode of linear code C1, and C1 ¿ (C2 ¿) is the dual code of C1 (C2).
Keywords :
Hamming codes; linear codes; network coding; erroneous wiretap networks; linear network code; nested coset coding scheme; relative network generalized Hamming weight; Conferences; Encoding; Error correction; Error correction codes; Hamming weight; Information security; Information theory; Kernel; Linear code; Network coding;
Conference_Titel :
Information Theory Workshop, 2009. ITW 2009. IEEE
Conference_Location :
Taormina
Print_ISBN :
978-1-4244-4982-8
Electronic_ISBN :
978-1-4244-4983-5
DOI :
10.1109/ITW.2009.5351183
