The Average Dimension of the Hermitian Hull of Constayclic Codes over Finite Fields
نویسندگان
چکیده
The hulls of linear and cyclic codes have been extensively studied due to their wide applications. The dimensions and average dimension of the Euclidean hull of linear and cyclic codes have been well-studied. In this paper, the average dimension of the Hermitian hull of constacyclic codes of length n over a finite field Fq2 is determined together with some upper and lower bounds. It turns out that either the average dimension of the Hermitian hull of constacyclic codes of length n over Fq2 is zero or it grows the same rate as n. Comparison to the average dimension of the Euclidean hull of cyclic codes is discussed as well.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1702.00275 شماره
صفحات -
تاریخ انتشار 2017