Secret sharing schemes and noncommutative polynomial interpolation

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dc.contributor.authorJohnson, Daniel
dc.contributor.examiningcommitteeCooper, Susan (Mathematics) Wang, Liqun (Statistics)en_US
dc.contributor.supervisorZhang, Yang (Mathematics)en_US
dc.date.accessioned2018-09-14T15:00:59Z
dc.date.available2018-09-14T15:00:59Z
dc.date.issued2018en_US
dc.date.submitted2018-08-27T16:08:48Zen
dc.degree.disciplineMathematicsen_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.abstractSecret sharing schemes and polynomial interpolation - their link is by now historic. This thesis uses and develops noncommutative models of interpolation and subsequently extends the original Shamir scheme of 1979 in several instances. Using first left-oriented quaternion polynomials, also present are two novel schemes which use free quaternion polynomials. The schemes exhibited, though making no use of the numerous advancements of secret sharing schemes, may be themselves conceivably advanced in much the same way that the Shamir scheme has. Thus the groundwork for schemes with noncommutative polynomials is founded.en_US
dc.description.noteOctober 2018en_US
dc.identifier.urihttp://hdl.handle.net/1993/33370
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjectMathematicsen_US
dc.titleSecret sharing schemes and noncommutative polynomial interpolationen_US
dc.typemaster thesisen_US
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