The Average Hull Dimension of Negacyclic Codes over Finite Fields
Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom 73000, Thailand
Department of Mathematics and Statistics, Faculty of Science, Thaksin University, Phattalung 93110, Thailand
Author to whom correspondence should be addressed.
Received: 6 August 2018 / Revised: 17 August 2018 / Accepted: 17 August 2018 / Published: 20 August 2018
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Hulls of linear codes have been extensively studied due to their wide applications and links with the efficiency of some algorithms in coding theory. In this paper, the average dimension of the Euclidean hull of negacyclic codes of length n
over finite fields
, denoted by
, has been investigated. The formula for
has been determined. Some upper and lower bounds of
have been given as well. Asymptotically, it has been shown that either
is zero or it grows the same rate as n
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MDPI and ACS Style
Jitman, S.; Sangwisut, E. The Average Hull Dimension of Negacyclic Codes over Finite Fields. Math. Comput. Appl. 2018, 23, 41.
Jitman S, Sangwisut E. The Average Hull Dimension of Negacyclic Codes over Finite Fields. Mathematical and Computational Applications. 2018; 23(3):41.
Jitman, Somphong; Sangwisut, Ekkasit. 2018. "The Average Hull Dimension of Negacyclic Codes over Finite Fields." Math. Comput. Appl. 23, no. 3: 41.
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