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Title: A note on the weight distribution of some cyclic codes
Authors: Lin, Liren
Chen, Bocong
Liu, Hongwei
Keywords: DRNTU::Science::Physics::Atomic physics::Field theories
Issue Date: 2015
Source: Lin, L., Chen, B., & Liu, H. (2015). A note on the weight distribution of some cyclic codes. Finite fields and their applications, 35, 78–85.
Series/Report no.: Finite fields and their applications
Abstract: Let Fq be the finite field with q elements and Cn be the cyclic group of order n, where n is a positive integer relatively prime to q . Let H,K be subgroups of Cn such that H is a proper subgroup of K. In this note, the weight distributions of the cyclic codes of length n over Fq with generating idempotents View the MathML source and View the MathML source are explicitly determined, where View the MathML source and View the MathML source. Our result naturally gives a new characterization of a theorem by Sharma and Bakshi [18] that determines the weight distribution of all irreducible cyclic codes of length pm over Fq, where p is an odd prime and q is a primitive root modulo pm. Finally, two examples are presented to illustrate our results.
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2015.03.003
Schools: School of Physical and Mathematical Sciences 
Rights: © 2015 Elsevier. This is the author created version of a work that has been peer reviewed and accepted for publication by Finite Fields and Their Applications, Elsevier. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [].
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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