Propelinear structure of Z_{2k}-linear codes
نویسندگان
چکیده
Let C be an additive subgroup of Z n 2k for any k ≥ 1. We define a Gray map Φ : Z n 2k −→ Z kn 2 such that Φ(C) is a binary propelinear code and, hence, a Hamming-compatible group code. Moreover, Φ is the unique Gray map such that Φ(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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ورودعنوان ژورنال:
- CoRR
دوره abs/0907.5287 شماره
صفحات -
تاریخ انتشار 2009