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تسجيل مستخدم جديدPropelinear structure of Z_{2k}-linear codes
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نشر من قبل
Cristina Fern\\'andez-C\\'ordoba
تاريخ النشر
2009
مجال البحث
الهندسة المعلوماتية
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English
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Let C be an additive subgroup of $Z_{2k}^n$ for any $kgeq 1$. We define a Gray map $Phi:Z_{2k}^n longrightarrow Z_2^{kn}$ such that $Phi(codi)$ is a binary propelinear code and, hence, a Hamming-compatible group code. Moreover, $Phi$ is the unique Gray map such that $Phi(C)$ is Hamming-compatible group code. Using this Gray map we discuss about the nonexistence of 1-perfect binary mixed group code.
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