اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدFrom ds-bounds for cyclic codes to true distance for abelian codes
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نشر من قبل
Juan Jacobo Sim\\'on-Pinero
تاريخ النشر
2017
مجال البحث
الهندسة المعلوماتية
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English
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In this paper we develop a technique to extend any bound for the minimum distance of cyclic codes constructed from its defining sets (ds-bounds) to abelian (or multivariate) codes through the notion of $mathbb{B}$-apparent distance. We use this technique to improve the searching for new bounds for the minimum distance of abelian codes. We also study conditions for an abelian code to verify that its $mathbb{B}$-apparent distance reaches its (true) minimum distance. Then we construct some tables of such codes as an application
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