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Weight Distribution of Minimal Cyclic Codes over a Finite Field

Inderjit Singh1 , Seema Rani2

  1. Department of Mathematics, Dayanand College, Hisar, India.
  2. Department of Mathematics, Govt. College, Adampur, India.

Section:Research Paper, Product Type: Journal Paper
Volume-11 , Issue-6 , Page no. 45-47, Jun-2023

CrossRef-DOI:   https://doi.org/10.26438/ijcse/v11i6.4547

Online published on Jun 30, 2023

Copyright © Inderjit Singh, Seema Rani . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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IEEE Style Citation: Inderjit Singh, Seema Rani, “Weight Distribution of Minimal Cyclic Codes over a Finite Field,” International Journal of Computer Sciences and Engineering, Vol.11, Issue.6, pp.45-47, 2023.

MLA Style Citation: Inderjit Singh, Seema Rani "Weight Distribution of Minimal Cyclic Codes over a Finite Field." International Journal of Computer Sciences and Engineering 11.6 (2023): 45-47.

APA Style Citation: Inderjit Singh, Seema Rani, (2023). Weight Distribution of Minimal Cyclic Codes over a Finite Field. International Journal of Computer Sciences and Engineering, 11(6), 45-47.

BibTex Style Citation:
@article{Singh_2023,
author = {Inderjit Singh, Seema Rani},
title = {Weight Distribution of Minimal Cyclic Codes over a Finite Field},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {6 2023},
volume = {11},
Issue = {6},
month = {6},
year = {2023},
issn = {2347-2693},
pages = {45-47},
url = {https://www.ijcseonline.org/full_paper_view.php?paper_id=5593},
doi = {https://doi.org/10.26438/ijcse/v11i6.4547}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v11i6.4547}
UR - https://www.ijcseonline.org/full_paper_view.php?paper_id=5593
TI - Weight Distribution of Minimal Cyclic Codes over a Finite Field
T2 - International Journal of Computer Sciences and Engineering
AU - Inderjit Singh, Seema Rani
PY - 2023
DA - 2023/06/30
PB - IJCSE, Indore, INDIA
SP - 45-47
IS - 6
VL - 11
SN - 2347-2693
ER -

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Abstract

Let Fq be the finite field with q elements, p, q be two odd primes with gcd(2p, q) = 1, multiplicative order of q modulo 2p^m is p^d (0?d?m-1), m ? 1 be an integer. In this paper, we obtain weight distribution of all the minimal(irreducible) cyclic codes of length 2pm over Fq by using their generating polynomials.

Key-Words / Index Term

Primitive root, Weight distribution, Minimal Cyclic Codes

References

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