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Advances and Applications in Discrete Mathematics
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Abstract: We extend a result of [4] to codes over the commutative ring ![](/admin/Images/ilm135we_ext3.gif)
�where ![](/admin/Images/ilm136we_ext4.gif)
�and ![](/admin/Images/ilm137we_ext5.gif)
�A Gray map between codes over ![](/admin/Images/ilm138we_ext6.gif)
�and ![](/admin/Images/ilm139we_ext7.gif)
�is defined. It is proved that the Gray image of the linear ![](/admin/Images/ilm140we_ext8.gif)
-cyclic code over the commutative ring ![](/admin/Images/ilm138we_ext6.gif)
�of length n is a distance-invariant quasi-cyclic code of index ![](/admin/Images/ilm141we_ext9.gif)
�and the length ![](/admin/Images/ilm142we_ext10.gif)
�over ![](/admin/Images/ilm143we_ext11.gif)
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Keywords and phrases: gray map, cyclic codes. |
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P-ISSN: 0974-1658 |
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Journal Stats
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Publication count: 599 |
Citation count (Google Scholar): 1004 |
h10-index (Google Scholar): 24 |
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