Macwilliams identities for Rosenbloom-Tsfasman (RT) weight enumerators
2012
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Advisor: Doç. Dr. Mehmet Özen
Abstract (EN)
This thesis consist of four chapter. The first chapter is a preparation for the followings. Some basic definitions and theorems, structure of linear codes, Hamming metric and MacWilliams identity are given. End of the this chapter, minimum distance, minimum weight and dual of linear codes with respect to non-Hamming metric are investigated.In the second chapter, the structure of R2, linear codes over R2 and the ring?s character are given.In the third chapter, the structure of linear codes over Mnxs(R2) with respect to non-Hamming metric and complete weight enumerator are investigated. Finally, MacWilliams identity for complete weight enumerator of linear codes over Mnxs(R2)with respect to non-Hamming metric is provided and examples are given.In the fourth chapter, split ? weight enumerator for linear codes over Mnxs(F2)is defined and MacWilliams identity is proved and examples are given.
Author
Dr. Nazmiye Tuğba Özzaim
Institution
How to Cite
Nazmiye Tuğba Özzaim (Master Thesis). Macwilliams identities for Rosenbloom-Tsfasman (RT) weight enumerators, 2012, Sakarya University.
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