On constacyclic codes over Z4[u]/〈u2-1〉 and their Gray images
نویسندگان
چکیده
We first define a new Gray map from R = Z4+uZ4 to Z 2 4, where u 2 = 1 and study (1 + 2u)-constacyclic codes over R. Also of interest are some properties of (1 + 2u)constacyclic codes over R. Considering their Z4 images, we prove that the Gray images of (1+2u)-constacyclic codes of length n over R are cyclic codes of length 2n over Z4. In many cases the latter codes have better parameters than those in the online database of Aydin and Asamov. We also give a corrected version of a table of new cyclic R-codes published by Özen et al. in Finite Fields and Their Applications, 38, (2016) 27-39.
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ورودعنوان ژورنال:
- Finite Fields and Their Applications
دوره 45 شماره
صفحات -
تاریخ انتشار 2017