MacWilliams identity for m-spotty Lee weight enumerators

Applied Mathematics Letters ◽

10.1016/j.aml.2009.07.019 ◽

2010 ◽

Vol 23 (1) ◽

pp. 13-16 ◽

Author(s):

Irfan Siap

Keyword(s):

Weight Enumerators ◽

Macwilliams Identity

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Lee weight enumerators of self-dual codes and theta functions

Advances in Mathematics of Communications ◽

10.3934/amc.2008.2.393 ◽

2008 ◽

Vol 2 (4) ◽

pp. 393-402 ◽

Author(s):

Bram van Asch ◽

◽

Frans Martens

Keyword(s):

Theta Functions ◽

Weight Enumerators ◽

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The MacWilliams identity for m-spotty weight enumerators of linear codes over finite fields

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.12.048 ◽

2011 ◽

Vol 61 (4) ◽

pp. 1000-1004 ◽

Author(s):

Mehmet Özen ◽

Vedat Şiap

Keyword(s):

Finite Fields ◽

Linear Codes ◽

Weight Enumerators ◽

Macwilliams Identity

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On weight enumerators and MacWilliams identity for convolutional codes

2010 Information Theory and Applications Workshop (ITA) ◽

10.1109/ita.2010.5454120 ◽

2010 ◽

Author(s):

Irina E. Bocharova ◽

Florian Hug ◽

Rolf Johannesson ◽

Boris D. Kudryashov

Keyword(s):

Convolutional Codes ◽

Weight Enumerators ◽

Macwilliams Identity

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On some new m-spotty Lee weight enumerators

Designs Codes and Cryptography ◽

10.1007/s10623-012-9725-z ◽

2012 ◽

Vol 71 (1) ◽

pp. 119-152 ◽

Author(s):

Anuradha Sharma ◽

Amit K. Sharma

Keyword(s):

Weight Enumerators ◽

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Linear, cyclic and constacyclic codes over S4 = F2 + uF2 + u2F2 + u3F2

Filomat ◽

10.2298/fil1405897o ◽

2014 ◽

Vol 28 (5) ◽

pp. 897-906

Author(s):

Ödemiş Özger ◽

Ümmü Kara ◽

Bahattin Yıldız

Keyword(s):

Linear Codes ◽

Gray Map ◽

Binary Codes ◽

Constacyclic Codes ◽

Weight Enumerators ◽

Macwilliams Identities

In this work, linear codes over the ring S4 = F2 + uF2 + u2F2 + u3F2 are considered. The Lee weight and gray map for codes over S4 are defined and MacWilliams identities for the complete, the symmetrized and the Lee weight enumerators are obtained. Cyclic and (1 + u2)-constacyclic codes over S4 are studied, as a result of which a substantial number of optimal binary codes of different lengths are obtained as the Gray images of cyclic and constacyclic codes over S4.

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Construction of two-Lee weight codes over

International Journal of Computer Mathematics ◽

10.1080/00207160.2014.989709 ◽

2014 ◽

Vol 93 (3) ◽

pp. 415-424 ◽

Author(s):

Minjia Shi ◽

Lou Chen

Keyword(s):

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Hamming weight enumerators of multi-twisted codes with at most two non-zero constituents

Finite Fields and Their Applications ◽

10.1016/j.ffa.2021.101910 ◽

2021 ◽

Vol 76 ◽

pp. 101910

Author(s):

Varsha Chauhan ◽

Anuradha Sharma

Keyword(s):

Hamming Weight ◽

Weight Enumerators

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Explicit Formulas for the Weight Enumerators of Some Classes of Deletion Correcting Codes

IEEE Transactions on Communications ◽

10.1109/tcomm.2018.2886354 ◽

2019 ◽

Vol 67 (3) ◽

pp. 1809-1816 ◽

Author(s):

Khodakhast Bibak ◽

Olgica Milenkovic

Keyword(s):

Weight Enumerators ◽

Explicit Formulas

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A class of three-weight linear codes and their complete weight enumerators

Cryptography and Communications ◽

10.1007/s12095-016-0187-4 ◽

2016 ◽

Vol 9 (1) ◽

pp. 133-149 ◽

Author(s):

Shudi Yang ◽

Zheng-An Yao ◽

Chang-An Zhao

Keyword(s):

Linear Codes ◽

Weight Enumerators

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Complete weight enumerators of some linear codes and their applications

Designs Codes and Cryptography ◽

10.1007/s10623-015-0136-9 ◽

2015 ◽

Vol 81 (1) ◽

pp. 153-168 ◽

Author(s):

Chengju Li ◽

Sunghan Bae ◽

Jaehyun Ahn ◽

Shudi Yang ◽

Zheng-An Yao

Keyword(s):

Linear Codes ◽

Weight Enumerators

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