Keywords and phrases: cyclic code, constacyclic code, quasi-cyclic code, Gray map.
Received: January 2, 2023; Accepted: February 4, 2023; Published: March 28, 2023
How to cite this article: Wei Qi and Xiaolei Zhang, A study of skew constacyclic codes over , JP Journal of Algebra, Number Theory and Applications 61(1) (2023), 19-36. http://dx.doi.org/10.17654/0972555523009
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] E. Prange, Cyclic error-correcting codes in two symbols, Air Force Cambridge Research Center-TN-57-103, Cambridge, MA, 1957. [2] E. R. Berlekamp, Algebraic Coding Theory, McGraw-Hill Book Company, New York, 1968. [3] D. Boucher, W. Geiselmann and F. Ulmer, Skew-cyclic codes, Appl. Algebra Engrg. Comm. Comput. 18 (2007), 379-389. [4] D. Boucher, P. Sole and F. Ulmer, Skew-constacyclic codes over Galois ring, Adv. Math. Commun. 2(3) (2008), 273-292. [5] R. K. Bandi and M. Bhaintwal, A note on cyclic codes over Discrete Mathematics, Algorithms and Applications 8(1) (2016), 17 pages, 1650017. [6] Tushar Bag, Habibul Islam, Om Prakash and Ashish K. Upadhyay, A study of constacyclic codes over the ring Discrete Mathematics, Algorithms and Applications 10(4) (2018), 10 pages, 1850056. [7] Amit Sharma and Maheshanand Bhaintwal, A class of skew-constacyclic codes over Int. J. Information and Coding Theory 4(4) (2017), 289-303. [8] T. Abualrub and I. Siap, Reversible cyclic codes over Australas. J. Combin. 38 (2007), 195-206.
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