On a decoding algorithm of mΘ Reed-Muller codes
*Tsimi Jean ArmandCorresponding authortsimije@yahoo.frDepartment of Mathematics and Computer Science University of Douala Faculty of Sciences P. O. Box 24157 Douala CameroonView full profile → , Pemha Binyam Gabriel Cedricgpemha@yahoo.frDepartment of Mathematics and Computer Science University of Douala Faculty of Sciences P. O. Box 24157 Douala CameroonDepartment of Mathematics and Computer Sciences Faculty of Sciences University of Douala P. O. Box 24157 Douala, Cameroon0009-0004-9987-8696View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Sep 2020
- Accepted:
- 05 Jan 2021
- Published Online:
- 14 Nov 2021
- Article type:
- A
- Language:
- EN
- Article no.:
- JDMSC-1308
- Pages:
- 341–358
Abstract
Keywords
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References
- F. Ayissi Eteme, Logique et Algèbre de structures mathématiques modales Θ -valentes chrysippiennes. Edition Hermann, Paris, 2009. [Google Scholar]
- J. A. Tsimi and G. Pemha, A mΘ spectrum of Reed-Muller codes, Journal of Discrete Mathematical Sciences and Cryptography vol. 24, 2021, pp. 1 – 17. doi: https://doi.org/10.1080/09720529.2020.1861781 [Taylor & Francis Online], [Google Scholar]
- F. Ayissi Eteme, Anneau chrysipien Θ -valent, CRAS, Paris 298, série 1, 1984, pp. 1-4. [Google Scholar]
- F. Ayissi Eteme, Complétion chrysipienne d’une algèbre de Lukasiewicz Θ -valent, CRAS, Paris, 299, Série 1(3), 1984, pp. 69-72. [Google Scholar]
- F. Ayissi Eteme, Complétion chrysippienne d’une algèbre de Lukasiewicz Θ -valent, CRAS, Paris, 299, Série 1, 1984, pp.1-4. [Google Scholar]
- F.A. Eteme and J.A. Tsimi, A modal Θ -valent approach of the notion of code, Journal of Discrete Mathematical Sciences and Cryptography, vol. 14, October 2011, pp. 445-473. doi: https://doi.org/10.1080/09720529.2011.10698348 [Taylor & Francis Online], [Google Scholar]
- F. Ayissi Eteme, Spectre Θ -valent d’un ach Θ et représentation intrinsèque d’ach Θ, Revue Romaine de Mathématiques Pures et Appliquées, Bucarest, Roumanie, 1992. [Google Scholar]
- Papini O. and Wolfmann J., Algèbre discrete et codes correcteurs, Springer-Verlag, Mathématiques et Application, No. 20, 1995. [Google Scholar]
- F.A. Eteme and J.A. Tsimi, A mΘ approach of the algebraic theory of linear codes, Journal of Discrete Mathematical Sciences and Cryptography, vol.14 (2011), No. 6, pp. 559-581 doi: https://doi.org/10.1080/09720529.2011.10698356 [Taylor & Francis Online], [Google Scholar]
- F. Ayissi Eteme, Chrysippian mΘ valent introducing pure and applied mathematics, LAP Lambert Academic Publishing, 2015, Deutschland, Germany. [Google Scholar]
- F. Ayissi Eteme and J.A. Tsimi, The mΘ cyclic codes on a mΘ field, 2016, pp 313-344, Volume 25 Issue3 (International Journal of Mathematics, Game theory and algebra). [Google Scholar]
- Mercier D.J., L’algèbre dans la correction des erreurs, A.P.M.E.P., Bulletin n°415, 1998, pp. 173-191 [Google Scholar]
- R.E. Blahut, Theory and Practice of error control codes Addison-Wesley, 1983. [Google Scholar]
- S. Lin and D.J. Costello Jr., Error control coding Fundamentals and Applications. Prentice Hall, 1983. [Google Scholar]




