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Research On Some Classes Of Constacyclic Codes

Posted on:2014-10-03Degree:MasterType:Thesis
Country:ChinaCandidate:D C CaoFull Text:PDF
GTID:2250330401989050Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
The class of constacyclic codes, especially for cyclic codes, plays a very significant role in both the theory of error-correcting codes and application in communication and storage systems due to their efficient encoding and decoding algorithms. Constacyclic codes over finite fields and finite rings have been studied for decades and a lot of progress has been made, and also they have been a focus of the study of the theory of error-correcting codes.In this paper, we investigate the structure and properties of constacyclic codes over the finite field Fq and polynomial residue rings F2[V]/...
Keywords/Search Tags:Cyclic codes, Constacyclic codes, Generator polynomial, The minimumdistance, Weight distribution, Weight enumerators, Gray image
PDF Full Text Request
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