Hadamard matrices, designs and their secret-sharing schemes

Koukouvinos, C; Simos, DE; Varbanov, Z

dc.contributor.author	Koukouvinos, C	en
dc.contributor.author	Simos, DE	en
dc.contributor.author	Varbanov, Z	en
dc.date.accessioned	2014-03-01T02:53:18Z
dc.date.available	2014-03-01T02:53:18Z
dc.date.issued	2011	en
dc.identifier.issn	03029743	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/36223
dc.subject	construction	en
dc.subject	Hadamard designs	en
dc.subject	Hadamard matrices	en
dc.subject	secret-sharing schemes	en
dc.subject.other	Access structure	en
dc.subject.other	Combinatorial design theory	en
dc.subject.other	Construction method	en
dc.subject.other	Hadamard	en
dc.subject.other	Hadamard matrices	en
dc.subject.other	secret-sharing schemes	en
dc.subject.other	Algebra	en
dc.subject.other	Information science	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Design	en
dc.title	Hadamard matrices, designs and their secret-sharing schemes	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1007/978-3-642-21493-6_14	en
heal.identifier.secondary	http://dx.doi.org/10.1007/978-3-642-21493-6_14	en
heal.publicationDate	2011	en
heal.abstract	In this paper, we give some methods to generate new secret-sharing schemes from Hadamard matrices derived through orthogonal 3-designs. A close connection of Hadamard designs and secret-sharing schemes is shown. In addition, we survey some of the most prolific construction methods for Hadamard matrices thus providing the necessary structures to describe a two-part secret-sharing scheme based on Hadamard designs. Furthermore, we exhibit how some algebraic aspects of secret-sharing cryptography are interpreted in terms of combinatorial design theory, such as the access structure and the security of the secret-sharing schemes. © 2011 Springer-Verlag.	en
heal.journalName	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)	en
dc.identifier.doi	10.1007/978-3-642-21493-6_14	en
dc.identifier.volume	6742 LNCS	en
dc.identifier.spage	216	en
dc.identifier.epage	229	en