Double Cyclic Codes over \({\mathbb{F}_{q}+v\mathbb{F}_{q}}\)
Department of Mathematics, Tsinghua University, Beijing 100084, China
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(10), 1820; https://doi.org/10.3390/math8101820
Received: 14 September 2020 / Revised: 8 October 2020 / Accepted: 10 October 2020 / Published: 17 October 2020
In this paper, an algebraic structure of a type of double cyclic codes is investigated, which covers some existing codes as special cases. The paper presents generic results about the generating polynomials, minimal generating sets, matrices and dual codes of the proposed codes.
View Full-Text
Keywords:
double cyclic codes; generating matrices; generating polynomials; minimal generating sets; non-chain rings
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Deng, T.; Yang, J. Double Cyclic Codes over \({\mathbb{F}_{q}+v\mathbb{F}_{q}}\). Mathematics 2020, 8, 1820.
AMA Style
Deng T, Yang J. Double Cyclic Codes over \({\mathbb{F}_{q}+v\mathbb{F}_{q}}\). Mathematics. 2020; 8(10):1820.
Chicago/Turabian StyleDeng, Tenghui; Yang, Jing. 2020. "Double Cyclic Codes over \({\mathbb{F}_{q}+v\mathbb{F}_{q}}\)" Mathematics 8, no. 10: 1820.
Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
Search more from Scilit
