AU - Sobhani, Reza
TI - Gray Images of Constacyclic Codes Over Some Polynomial Residue Rings
PT - JOURNAL ARTICLE
TA - khu-mmr
JN - khu-mmr
VO - 7
VI - 1
IP - 1
4099 - http://mmr.khu.ac.ir/article-1-2753-en.html
4100 - http://mmr.khu.ac.ir/article-1-2753-en.pdf
SO - khu-mmr 1
ABĀ - 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
CP - IRAN
IN - 1Department of Mathematics University of Isfahan 81746-73441, Isfahan, Iran
LG - eng
PB - khu-mmr
PG - 83
PT - Original Manuscript
YR - 2021