MacWilliams identities of linear codes over Mn×s(Rk)  with respect to RT metric

doi:10.3969/j.issn.0253-2778.2015.01.006

Journal of University of Science and Technology of China ›› 2015, Vol. 45 ›› Issue (1): 34-39.DOI: 10.3969/j.issn.0253-2778.2015.01.006

• Original Paper • Previous Articles

MacWilliams identities of linear codes over Mn×s(Rk) with respect to RT metric

YAO Ting, SHI Minjia, LIU Yan

School of Mathematical Sciences of Anhui University. Hefei 230601, China

Received:2014-06-05 Revised:2014-07-29 Accepted:2014-07-29 Online:2014-07-29 Published:2014-07-29
Contact: SHI Minjia
About author:YAO Ting, female, born in 1989, master candidate. Research field: Algebraic codingtheory. E-mail: yaoting_1649@163.com
Supported by:
Supported by NNSF of China (61202068), Talents youth Fund of Anhui Province Universities (2012SQRL020ZD).

Abstract

Abstract: The definitions of the Lee complete ρ weight enumerator and the exact complete ρ weight enumerator over Mn×s(Rk)(u2i=0,uiuj=ujui) were given, and the MacWilliams identities with respect to the RT metric for these two weight enumerators of linear codes over Mn×s(Rk) were obtained, respectively. Finally, two examples were presented to illustrate our obtained results.

Key words: RT metric, weight enumerator, MacWilliams identity, dual code

CLC Number:

TN911.22

YAO Ting, SHI Minjia, LIU Yan. MacWilliams identities of linear codes over Mn×s(Rk) with respect to RT metric[J]. Journal of University of Science and Technology of China, 2015, 45(1): 34-39.

References

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MacWilliams identities of linear codes over Mn×s(Rk) with respect to RT metric

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