On Counting Subring-Subcodes of Free Linear Codes Over Finite Principal Ideal Rings
نویسندگان
چکیده
Let R be a finite principal ideal ring and S the Galois extension of R of degree m. For k and k, positive integers we determine the number of free S-linear codes B of length l with the property k = rankS(B) and k = rankR(B∩R). This corrects a wrong result [1, Theorem 6] which was given in the case of finite fields.
منابع مشابه
MDS codes over finite principal ideal rings
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ورودعنوان ژورنال:
- CoRR
دوره abs/1612.02213 شماره
صفحات -
تاریخ انتشار 2016