Long quasi-polycyclic t-CIS codes
نویسندگان
چکیده
We study complementary information set codes of length tn and dimension n of order t called (t−CIS code for short). Quasi-cyclic and quasi-twisted tCIS codes are enumerated by using their concatenated structure. Asymptotic existence results are derived for one-generator and have co-index n by Artin’s conjecture for quasi cyclic and special case for quasi twisted. This shows that there are infinite families of long QC and QT t-CIS codes with relative distance satisfying a modified Varshamov-Gilbert bound for rate 1/t codes. Similar results are defined for the new and more general class of quasi-polycyclic codes introduced recently by Berger and Amrani.
منابع مشابه
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ورودعنوان ژورنال:
- CoRR
دوره abs/1703.03109 شماره
صفحات -
تاریخ انتشار 2017