A note about the traceability properties of linear codes

Fernández Muñoz, Marcel; Cotrina Navau, Josep; Soriano Ibáñez, Miguel; Domingo, Neus

doi:10.1007/978-3-540-76788-6_20

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Fernández Muñoz, Marcel

Cotrina Navau, Josep

Soriano Ibáñez, Miguel

Domingo, Neus

Document typeConference report

Defense date2007

PublisherSpringer

Rights accessRestricted access - publisher's policy

Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain

Abstract

We characterize the traceability properties of linear codes. It is well known that any code of length n and minimum distance d is a c-TA code if c 2¿<¿n/(n¿-¿d). In this paper, we show that a less restrictive condition can be derived. In other words, there exists a value Z C , with n¿-¿d¿=¿Z C ¿=¿c(n¿-¿d), such that any linear code is c-TA if c¿<¿n/Z C . We also prove that in many cases this condition is also necessary. These results are applied to cyclic and Reed-Solomon codes.

CitationFernandez, M. [et al.]. A note about the traceability properties of linear codes. A: International Conference on Information Security and Cryptology. "Information Security and Cryptology: ICISC 2007: 10th International Conference: Seoul, Korea, November 29-30, 2007: proceedings". Seoul: Springer, 2007, p. 251-258.

URIhttp://hdl.handle.net/2117/23108

DOI10.1007/978-3-540-76788-6_20

ISBN978-3-540-76787-9

Publisher versionhttp://link.springer.com/chapter/10.1007/978-3-540-76788-6_20

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