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http://dx.doi.org/10.4134/BKMS.2015.52.3.809

AN IDENTITY BETWEEN THE m-SPOTTY ROSENBLOOM-TSFASMAN WEIGHT ENUMERATORS OVER FINITE COMMUTATIVE FROBENIUS RINGS  

Ozen, Mehmet (Department of Mathematics Sakarya University)
Shi, Minjia (Key Laboratory of Intelligent Computing & Signal Processing Ministry of Education, Anhui University, School of Mathematical Sciences Anhui University)
Siap, Vedat (Department of Mathematical Engineering Yildiz Technical University)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.3, 2015 , pp. 809-823 More about this Journal
Abstract
This paper is devoted to presenting a MacWilliams type identity for m-spotty RT weight enumerators of byte error control codes over finite commutative Frobenius rings, which can be used to determine the error-detecting and error-correcting capabilities of a code. This provides the relation between the m-spotty RT weight enumerator of the code and that of the dual code. We conclude the paper by giving three illustrations of the results.
Keywords
byte error-control codes; m-spotty byte error; MacWilliams identity; weight enumerators;
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