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dc.contributor.advisorEin, Lawrenceen_US
dc.contributor.authorChan, Kin Hangen_US
dc.date.accessioned2012-12-10T16:51:34Z
dc.date.available2012-12-10T16:51:34Z
dc.date.created2012-05en_US
dc.date.issued2012-12-10
dc.date.submitted2012-05en_US
dc.identifier.urihttp://hdl.handle.net/10027/9202
dc.description.abstractThree new methods for construction of extremal Type II Z4-codes are discussed. The first method, the doubling method, is developed by the author. The other two methods are generalizations of the building-up method and another construction method developed by Masaaki Harada. Type II codes of length 32 and 40 are discussed. A total of 779 and 1065 extremal Type II codes of length 32 and 40 are found with the three methods. All three methods can help find new extremal Type II codes with a known Type II code. The three methods can be applied on other lengths as well.en_US
dc.language.isoenen_US
dc.rightsCopyright 2012 Kin Hang Chanen
dc.subjectAlgebraic Coding Theoryen_US
dc.subjectError-correcting Codeen_US
dc.subjectExtremal Codeen_US
dc.subjectDoubling Methoden_US
dc.subjectType II Codeen_US
dc.subjectSelf Dual Codeen_US
dc.subjectBuilding-up Methoden_US
dc.subjectHarada's Methoden_US
dc.titleThree New Methods For Construction Of Extremal Type II Z4-Codesen_US
thesis.degree.departmentDepartment of Mathematics, Statistics and Computer Scienceen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Illinois at Chicagoen_US
thesis.degree.levelDoctoralen_US
thesis.degree.namePhD, Doctor of Philosophyen_US
dc.type.genrethesisen_US
dc.contributor.committeeMemberPless, Veraen_US
dc.contributor.committeeMemberBessinger, Janeten_US
dc.contributor.committeeMemberSloan, Roberten_US
dc.contributor.committeeMemberHuffman, William C.en_US
dc.type.materialtexten_US


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