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dc.contributor.convenorMuriel Médard and Lizhong Zheng
dc.contributor.authorLiu, Z
dc.contributor.authorWu, XW
dc.contributor.editorPramod Viswanath
dc.date.accessioned2017-05-03T15:50:40Z
dc.date.available2017-05-03T15:50:40Z
dc.date.issued2012
dc.date.modified2013-07-08T04:47:21Z
dc.identifier.isbn9781467325790
dc.identifier.refurihttp://isit12.org/default.asp
dc.identifier.doi10.1109/ISIT.2012.6283978
dc.identifier.urihttp://hdl.handle.net/10072/52312
dc.description.abstractLinear codes with good algebraic structures have been used in a number of cryptographic or information-security applications, such as wire-tap channels of type II and secret sharing schemes. For a code-based secret sharing scheme, the problem of determining the minimal access sets is reduced to finding the minimal codewords of the dual code. It is well known that the latter problem is a hard problem for an arbitrary linear code. Constant weight codes and two-weight codes have been studied in the literature, for their applications to secret sharing schemes. In this paper, we study a class of three-weight codes. Making use of the finite projective geometry, we will give a sufficient and necessary condition for a linear code to be a three-weight code. The geometric approach that we will establish also provides a convenient method to construct three-weight codes. More importantly, we will determine the minimal codewords of a three-weight code, making use of the geometric approach.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.languageEnglish
dc.publisherIEEE
dc.publisher.placeUnited States
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofconferencename2012 IEEE International Symposium on Information Theory
dc.relation.ispartofconferencetitleIEEE International Symposium on Information Theory - Proceedings
dc.relation.ispartofdatefrom2012-07-01
dc.relation.ispartofdateto2012-07-06
dc.relation.ispartoflocationCambridge, United States
dc.relation.ispartofpagefrom2551
dc.relation.ispartofpageto2555
dc.rights.retentionY
dc.subject.fieldofresearchData engineering and data science
dc.subject.fieldofresearchcode460501
dc.titleOn a Class of Three-Weight Codes with Cryptographic Applications
dc.typeConference output
dc.type.descriptionE1 - Conferences
dc.type.codeE - Conference Publications
gro.date.issued2012
gro.hasfulltextNo Full Text
gro.griffith.authorWu, Xin-Wen


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    Contains papers delivered by Griffith authors at national and international conferences.

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