MacWilliams identities of linear codes with respect to RT metric over Mn×s(F l+v F l+…+vk-1 l)

doi:10.3969/j.issn.0253-2778.2018.02.002

Journal of University of Science and Technology of China ›› 2018, Vol. 48 ›› Issue (2): 97-104.DOI: 10.3969/j.issn.0253-2778.2018.02.002

• Original Paper • Previous Articles Next Articles

MacWilliams identities of linear codes with respect to RT metric over Mn×s(F l+v F l+…+vk-1 l)

WU Rongsheng, SHI Minjia, DING Shuangshuang

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

Received:2017-01-10 Revised:2017-12-13 Online:2018-02-28 Published:2018-02-28
Contact: SHI Minjia
About author:WU Rongsheng, male, born in 1992, master. Research field: Algebraic coding. E-mail: wrs2510@163.com
Supported by:
Supported by National Natural Science Foundation of China (61672036), Technology Foundation for Selected Overseas Chinese Scholar, Ministry of Personnel of China (05015133), the Open Research Fund of National Mobile Communications Research Laboratory, Southeast University (2015D11), Key Projects of Support Program for Outstanding Young Talents in Colleges and Universities (gxyqZD2016008).

Abstract

CLC Number:

TN911.22

WU Rongsheng, SHI Minjia, DING Shuangshuang. MacWilliams identities of linear codes with respect to RT metric over Mn×s(F l+v F l+…+vk-1 l)[J]. Journal of University of Science and Technology of China, 2018, 48(2): 97-104.

References

［1］
ROSENBLOOM M Y, TSFASMAN M A. Codes for the m-metric[J]. Problems of Information Transmission, 1997, 33(33): 55-63.
[2] DU W, XU H Q. MacWilliams identities of linear codes over ring Mn×s(R) with respect to the Rosenbloom-Tsfasman metric[J]. Information Technology Journal, 2012, 11(12): 1770-1775.

[3] WANG D D, SHI M J, LIU Y. MacWilliams identities of linear codes over a matrix ring with respect to Rosenbloom-Tsfasman metric[J]. International Journal of Information and Electronics Engineering, 2015, 5(3): 184-188.

[4] AMIT K S, ANURADHA S. MacWilliams identities for weight enumerators with respect to the RT metric[J]. Discrete Mathematics Algorithms and Applications, 2014, 6(2): 1450030.

[5] SIAP I. A MacWilliams type identity[J]. Turkish Journal of Mathematics, 2002, 26(4): 181-194.

[6] SIAP I. The complete weight enumerator for codes over Mn×s(Fq)[J]. Lecture Notes on Computer Sciences, 2001, 2260(1): 20-26.

[7] SIAP I, OZEN M. The complete weight enumerator for codes over Mn×s(R)[J]. Applied Mathematics Letters, 2004, 17(1): 65-69.

[8] SHI M J, LIU Y, SOL P. MacWilliams identities of linear codes with respect to RT metric over Mn×s(Fl + vFl + v2Fl)[J]. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2014, E97-A(8): 1810-1813.

[9] SHI M J, SOL P, WU B. Cyclic codes and the weight enumerator of linear codes over F2 +vF2 +v2F2[J]. Applied and Computational Mathematics, 2013, 12(2): 247-255.

[10] MACWILLIAMS F J, SLOANE N J A. The Theory of Error Correcting Codes[M]. Amsterdam: North-Holland Publishing Co, 1997.

[11] ZHU S X, XU H Q, SHI M J. MacWilliams identity with respect to RT metric over ring Z4[J]. Acta Electronica Sinica, 2009, 37: 1116-1118.

()
(

[1]	DING Jian, LI Hongju. The Gray image of a class of constacyclic codes over the ring Fpm[u]/ [J]. Journal of University of Science and Technology of China, 2017, 47(7): 610-620.
[2]	GUAN Yue, LIU Yan, SHI Minjia, LU Zhenyu, WU Bo. Skew cyclic codes over F q[u,v]/〈u2-1, v3-v, uv-vu〉 [J]. Journal of University of Science and Technology of China, 2017, 47(10): 862-868.

MacWilliams identities of linear codes with respect to RT metric over Mn×s(F l+v F l+…+vk-1 l)

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 2

Recommended Articles

Metrics

Comments