Volume 7, Issue 1 (Vol.7, No. 1, 2021)
mmr 2021, 7(1): 83-90 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Sobhani R. Gray Images of Constacyclic Codes Over Some Polynomial Residue Rings. mmr 2021; 7 (1) :83-90
URL: http://mmr.khu.ac.ir/article-1-2753-en.html
URL: http://mmr.khu.ac.ir/article-1-2753-en.html
University of Isfahan , r.sobhani@sci.ui.ac.ir
Abstract: (1556 Views)
Let be the quotient ring where is the finite field of size and is a positive integer. A Gray map of length over is a special map from to ( . The Gray map is said to be a ( )-Gray map if the image of any -constacyclic code over is a -constacyclic code over the field . In this paper we investigate the existence of ( )-Gray maps over . In this direction, we find an equivalent condition for such maps. Then we prove that if is a ( )-Gray map of length over and also then we must have , and divides the length of that is . We also prove that if then we must have . Moreover, we determine all of such maps over . Finally, we introduce a ( , )-Gray map of length over where ../files/site1/files/71/8.pdf
Type of Study: Original Manuscript |
Subject:
alg
Received: 2018/03/4 | Revised: 2021/05/24 | Accepted: 2019/09/1 | Published: 2021/05/31 | ePublished: 2021/05/31
Received: 2018/03/4 | Revised: 2021/05/24 | Accepted: 2019/09/1 | Published: 2021/05/31 | ePublished: 2021/05/31
Send email to the article author
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
