MacWilliams Identities of Linear Codes with Respect to RT Metric over Mn×s(F2[u,v]/<uk,v2,uv-vu>)

Minjia SHI; Jie TANG; Maorong GE

doi:10.1587/transfun.E100.A.2522

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Regular Section

MacWilliams Identities of Linear Codes with Respect to RT Metric over M_n×s(F₂[u,v]/<u^k,v²,uv-vu>)

Minjia SHI, Jie TANG, Maorong GE

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Keywords: RT metric, weight enumerator, MacWilliams identities, dual code

JOURNAL RESTRICTED ACCESS

2017 Volume E100.A Issue 11 Pages 2522-2527

DOI https://doi.org/10.1587/transfun.E100.A.2522

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Abstract

The definitions of the Lee complete ρ weight enumerator and the exact complete ρ weight enumerator over M_n×s(F₂[u,v]/<u^k,v²,uv-vu>) are introduced, and the MacWilliams identities with respect to the RT metric for these two weight enumerators of linear codes over M_n×s(F₂[u,v]/<u^k,v²,uv-vu>) are obtained. Finally, we give two examples to illustrate the results we obtained.

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