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
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;
Conference_Titel :
Advances in Computing, Communications and Informatics (ICACCI), 2013 International Conference on
Conference_Location :
Mysore
Print_ISBN :
978-1-4799-2432-5
DOI :
10.1109/ICACCI.2013.6637143
