Algebraic Number Fields and Codes

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dc.contributor.advisorO'Shea, Donen_US
dc.contributor.authorSwanson, Colleenen_US
dc.date.accessioned2011-02-16T13:47:14Z
dc.date.available2011-02-16T13:47:14Z
dc.date.gradyear2006en_US
dc.date.issued2011-02-16
dc.date.submitted2006-06-05 10:36:52en_US
dc.description.abstractWe explore error-correcting codes based on algebraic number fields using a particular code construction given by Guruswami in ``Constructions of Codes from Number Fields". After reviewing the necessary mathematical background, we analyze the rate and relative distance of the given code, and give an example of an asymptotically good code over an alphabet of size 31.en_US
dc.description.sponsorshipMathematicsen_US
dc.identifier.urihttp://hdl.handle.net/10166/698
dc.language.isoen_USen_US
dc.rights.restrictedpublic
dc.subjectnumbersen_US
dc.subjectfieldsen_US
dc.subjectcodingen_US
dc.subjecttheoryen_US
dc.titleAlgebraic Number Fields and Codesen_US
dc.typeThesisen_US
mhc.degreeUndergraduateen_US
mhc.institutionMount Holyoke Collegeen_US

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