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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 72 | Issue 8 | Year 2026 | Article Id. IJMTT-V72I8P102 | DOI : https://doi.org/10.14445/22315373/IJMTT-V72I8P102

Cyclotomic Cosets of Primitive Idempotents in Semi Simple Ring 


Ranjeet Singh
Received Revised Accepted Published
20 Jun 2026 23 Jul 2026 13 Aug 2026 29 Aug 2026
Citation :

Ranjeet Singh, "Cyclotomic Cosets of Primitive Idempotents in Semi Simple Ring ," International Journal of Mathematics Trends and Technology (IJMTT), vol. 72, no. 8, pp. 8-10, 2026. Crossref, https://doi.org/10.14445/22315373/IJMTT-V72I8P102

Abstract

We consider the ring  where ๐‘,๐‘ž,๐‘™ are distinct odd primes, l is a primitive root, both modulo  such that  .Explicit expressions for all the 16(๐‘šร—๐‘›ร—๐‘‘+๐‘š+๐‘›+1) Cyclotomic Coset are obtained, ๐‘ does not divide qโˆ’1 and ๐‘™ is of the form 16k+1.

Keywords

Cyclotomic Coset, Cyclic Codes, Minimal Cyclic Codes, Primitive Idempotent.

References

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