Idempotent generators of quadratic residue cyclic codes of length 4pnqm

Dr. Ranjeet Singh; Monika

doi:https://doi.org/10.14445/22315373/IJMTT-V47P520

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 47 | Number 2 | Year 2017 | Article Id. IJMTT-V47P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P520

Idempotent generators of quadratic residue cyclic codes of length 4pnqm

Dr. Ranjeet Singh, Monika

Abstract

We consider the ring.

Keywords

primitive idempotents; quadratic residue; cyclotomic cosets; cyclic codes.

References

[1] S.K.Arora, M.Pruthi, “Minimal Cyclic Codes of prime power length”, Finite Fields Appl.3 (1997)99-113.
[2] S.K. Arora, M. Pruthi, “Minimal Cyclic Codes of length 2pn ” Finite Fields Appl. 5 (1999) 177-187.
[3] Anuradha Sharma, G.K.Bakshi, V.C. Dumir, M. Raka, “Cyclotomic Numbers and Primitive idempotents in the ring GF (l) [x]/< 1 n p x >”, Finite Fields Appl. 10 (2004) 653-673.
[4] G.K.Bakshi, Madhu Raka, “Minimal cyclic codes of length pn q”, Finite Fields Appl.9 (2003) 432-448.
[5] Ranjeet Singh, M.Pruthi, “Primitive Idempotents of Irreducible Quadratic Residue Cyclic Codes of Length pn q m ” International Journal of Algebra vol.5 (2011) 285-294.
[6] Ranjeet Singh, “Some results in the Ring   n m 2p q n m 2p q R GF( )[x] / (x 1) l International Journal of Mathematics Trends and Technology Vol (35) No.1(2016) 32-37.

Citation :

Dr. Ranjeet Singh, Monika, "Idempotent generators of quadratic residue cyclic codes of length 4pnqm," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 2, pp. 163-171, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P520