Encoding and Decoding Procedures for Z5 Double ±1 Error Correcting Linear Code over

Hamlet K.  Khachatryan

Encoding and Decoding Procedures for Z5 Double ±1 Error Correcting Linear Code over

Authors

Hamlet K. Khachatryan Institute for Informatics and Automation Problems of NAS RA

Keywords:

Error correcting codes, Codes over the ring zz5, Encoding and Decoding procedures

Abstract

From practical point of view the codes over zz2mm or zz2mm+1 are interesting, because they can be used in 22mm –QAM (Quadrature amplitude modulation) schemes. In this paper a construction of encoding and decoding procedures for double ±1 error correcting optimal(12,8) linear code over ring zz5 is presented.

References

I. Blake, “Codes over certain rings”, Information and Control, vol. 20, pp. 396-404, 1972.

I. Blake, “Codes over integer residue rings”, Information and Control, vol. 29, 1975, 295-300.

G. Khachatrian and H. Morita, “Construction of optimal 1 double error correcting linear codes over ring Z5 ”, 3th International Workshop on Advances in Communications, Boppard, Germany, pp. 10-12, May 2014.

H. Kostadinov, N. Manev and H. Morita, “Double ±1-error correctable codes and their applications to modulation schemes”, Proc. Elev. Intern. Workshop ACCT, Pamporovo,June 16-22, pp 155-160,2008.

W. W. Peterson and E.J. Weldon, Error-Correcting Codes, M.I.T. Press, Cambridge, Mass.,1972.

Downloads

Published

2021-12-10

How to Cite

Khachatryan, H. K. . (2021). Encoding and Decoding Procedures for Z5 Double ±1 Error Correcting Linear Code over. Mathematical Problems of Computer Science, 43, 57–61. Retrieved from http://mpcs.sci.am/index.php/mpcs/article/view/209