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Codes from Dihedral 2-Groups

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Abstract

In this paper, central and noncentral codes of the semisimple dihedral group algebra over finite fields are computed.

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References

  1. C. P. Milies and S. K. Sehgal, An Introduction to Group Rings (Kluwer Academic, Dordrecht, 2002).

    Book  MATH  Google Scholar 

  2. F. S. Dutra, R. A. Ferraz, and C. P. Milies, “Semisimple group codes and dihedral codes,” Algebra and Discrete Mathematics 8(3), 28–48 (2009).

    MathSciNet  MATH  Google Scholar 

  3. G. K. Bakshi, S. Gupta, and I. B. S. Passi, “The algebraic structure of finite metabelian group algebras,” Communications in Algebra. 43(6), 2240–2257 (2015).

    Article  MathSciNet  MATH  Google Scholar 

  4. S. Gupta and P. Rani, “Central and non central codes of dihedral 2-groups,” Algebra and Discrete Mathematics 33(1), 87–98 (2022).

    Article  MathSciNet  MATH  Google Scholar 

  5. A. Sharma, G. K. Bakshi, and M. Raka, “Polyadic codes of prime power length,” Finite Fields and their Applications 13(4), 1071–1085 (2007).

    Article  MathSciNet  MATH  Google Scholar 

  6. S. Assuena and C. P. Milies, “Good codes from metacyclic groups,” Contemporary Math. 234, 39–47 (2019).

    Article  MathSciNet  MATH  Google Scholar 

  7. O. Broche and A. D. Rio, “Wedderburn decomposition of finite group algebras,” Finite Fields and their Applications 13, 71–79 (2007).

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgments

We would like to thank the anonymous referee for putting his/her invaluable time and effort for providing comments and suggestions which have helped to improve the quality and clarity of this manuscript.

Funding

The Council of Scientific and Industrial Research (CSIR), India, is gratefully acknowledged for providing financial support.

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Authors and Affiliations

  1. Punjabi University, Patiala, 147002, India

    S. Gupta & P. Rani

Authors
  1. S. Gupta
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  2. P. Rani
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Correspondence to S. Gupta.

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Cite this article

Gupta, S., Rani, P. Codes from Dihedral 2-Groups. Math Notes 112, 885–897 (2022). https://doi.org/10.1134/S0001434622110232

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  • DOI: https://doi.org/10.1134/S0001434622110232

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