DocumentCode
1638511
Title
Codes over ℤ4 +νℤ4 with respect to Rosenbloom-Tsfasman metric
Author
Bandi, Rama Krishna ; Bhaintwal, Maheshanand
Author_Institution
Dept. of Math., Indian Inst. of Technol. Roorkee, Roorkee, India
fYear
2013
Firstpage
37
Lastpage
41
Abstract
Weight enumerator is one of the important parameters of a code. The MacWilliams identity for a code is a remarkable result that describes how the weight distribution of a code and that of its dual are related to each other. In this paper we discuss the MacWilliams identity using Lee complete ρ-weight enumerator of codes over the ring of matrices ℳn×s(R), where R=ℤ4+νℤ4, ν2 =v, with respect to Rosenbloom-Tsfasman metric. We give a transformation to obtain ρ-weight enumerator of a code from its Lee complete ρ-weight enumerator. Some examples are given.
Keywords
codes; statistical distributions; MacWilliams identity; Rosenbloom-Tsfasman metric; codes; weight distribution; weight enumerator; Electronic mail; Informatics; Linear codes; Measurement; Polynomials; Structural rings;
fLanguage
English
Publisher
ieee
Conference_Titel
Advances in Computing, Communications and Informatics (ICACCI), 2013 International Conference on
Conference_Location
Mysore
Print_ISBN
978-1-4799-2432-5
Type
conf
DOI
10.1109/ICACCI.2013.6637143
Filename
6637143
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