CONSTACYCLIC CODES OVER LIPSCHITZ INTEGERS

Authors

  • M. Güzeltepe Department of Mathematics, Sakarya University, Turkey Author
  • G. Çetinel Department of Electirical and Electronics Engineering, Faculty of Engineering, Sakarya University, Turkey Author
  • N. Sazak Department of Electirical and Electronics Engineering, Faculty of Engineering, Sakarya University, Turkey Author

DOI:

https://doi.org/10.57016/MV-etK5277r

Keywords:

Block code, QAM signal constellations, Lipschitz metric

Subjects:

94B05, 94B60

Abstract

In this paper, the goal is to obtain constacyclic codes over Lipschitz integers in terms of Lipschitz metric. A decoding procedure is proposed for these codes, some of which have been shown to be perfect codes. Performance of constacyclic codes over Lipschitz integers is investigated over Additive White Gaussian Channel (AWGN) by means of symbol error rates and coding gain. According to the achieved results, these codes can be used in coded modulation schemes based on Quadrature Amplitude Modulation (QAM)-type constellations. Furthermore, it is shown that the Lipschitz metric is more suitable than Hamming metric and Lee metric for QAM type two dimensional constellations.

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Published

2023-07-15

Issue

Vol. 75 No. 3 (2023): Vol. 75, Issue 3

Section

Articles

License

Copyright (c) 2023 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.