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山东理工大学理学院,山东,淄博,255000
Published Online:06 January 2017,
Published:2018
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A Class of Cyclic Codes over Z4×(F2+uF2)[J]. Acta Electronica Sinica, 2018, 46(7): 1768-1773.
DOI:
A Class of Cyclic Codes over Z4×(F2+uF2)[J]. Acta Electronica Sinica, 2018, 46(7): 1768-1773. DOI: 10.3969/j.issn.0372-2112.2018.07.033.
定义了
Z
4
(
F
2
+
uF
)上的循环码,明确了一类循环码的生成元结构,给出了该类循环码的极小生成元集.利用Gray映射,构造了一些二元非线性码.
In this note
we study some results on a class of cyclic codes over
(
).We give the definition of this class of cyclic codes over
) first.Then we determine the generators and the minimum generating sets of a type of cyclic codes.Finally
some binary nonlinear codes are constructed by this type of cyclic codes.
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