Construction of New Completely Regular Z2Z4-linear Codes from Old
نویسنده
چکیده
A code C is said to be Z2Z4-additive if its coordinates can be partitioned into two subsets X and Y , in such a way that the punctured code of C obtained by removing the coordinates outside X (or, respectively, Y ) is a binary linear code (respectively, a quaternary linear code). The binary image of a Z2Z4-additive code, through the Gray map, is a Z2Z4-linear code, which is not always linear. Given a perfect Z2Z4-linear code, which is known to be completely regular, some constructions yielding new Z2Z4-linear codes are computed, and the completely regularity of the obtained codes is studied.
منابع مشابه
Z2Z4linear codes: rank and kernel
A code C is Z2Z4-additive if the set of coordinates can be partitioned into two subsets X and Y such that the punctured code of C by deleting the coordinates outside X (respectively, Y ) is a binary linear code (respectively, a quaternary linear code). In this paper, the rank and dimension of the kernel for Z2Z4-linear codes, which are the corresponding binary codes of Z2Z4-additive codes, are ...
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تاریخ انتشار 2011