A new message authentication code based on the non-associativity of quasigroups

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dc.contributor.advisor Clifford Bergman
dc.contributor.author Meyer, Kristen
dc.contributor.department Mathematics
dc.date 2018-08-25T04:44:35.000
dc.date.accessioned 2020-06-30T07:39:30Z
dc.date.available 2020-06-30T07:39:30Z
dc.date.copyright Sun Jan 01 00:00:00 UTC 2006
dc.date.issued 2006-01-01
dc.description.abstract <p>A quasigroup is a set of elements with one binary operation whose multiplication table forms a Latin square. Because quasigroups are not required to be associative, multiplying a string of elements together in different orders can produce different results. A message authentication code, or a MAC, is a cryptographical tool used to verify the authenticity of a message. In this dissertation, we create a new message authentication code called QMAC whose security is based on this non-associativity. In order to obtain security against forgeries, a highly non-associative quasigroup of large order must be used. Methods for efficiently creating and representing such quasigroups are also discussed.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/rtd/1480/
dc.identifier.articleid 2479
dc.identifier.contextkey 6094913
dc.identifier.doi https://doi.org/10.31274/rtd-180813-58
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/1480
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/68366
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/rtd/1480/3218982.PDF|||Fri Jan 14 20:26:54 UTC 2022
dc.subject.disciplines Mathematics
dc.subject.keywords Mathematics
dc.title A new message authentication code based on the non-associativity of quasigroups
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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