Construction of Codes from Symmetric Groups
Sudesh Sehrawat1, Manju Pruthi2
1Sudesh Sehrawat, Department of Mathematics, Indira Gandhi University, Meerpur, Rewari, India.
2Manju Pruthi, Department of Mathematics, Indira Gandhi University, Meerpur, Rewari, India.
Manuscript received on November 12, 2019. | Revised Manuscript received on November 23, 2019. | Manuscript published on 30 November, 2019. | PP: 8658-8665 | Volume-8 Issue-4, November 2019. | Retrieval Number: D8732118419/2019©BEIESP | DOI: 10.35940/ijrte.D8732.118419
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Let FSn be semisimple group algebra where Sn denotes the Symmetric group of degree n. We obtain the complete set of irreducible linear idempotents of the group algebra FSn. We also find the dimension and minimum distance of the group codes over the group Sn.
Keywords: Linear and Non Linear Characters, Irreducible Idempotents, Symmetric Group.2010 Mathematics Subject Classification: 20C30, 20E45, 94B60, 94B05
Scope of the Article: Regression and Prediction.