Research Information System
2nd International Conference on Engineering, Natural and Social Sciences, Konya, Turkey, 4 - 06 April 2023, pp.6-9
One of the most significant task in algebraic coding theory is to determine the structure of new
class of linear or nonlinear codes and to find codes having good parameters. In this study, for any prime
p , we define additive polycyclic codes over p2 F as a generalization of additive polycyclic codes over 4 F
studied in [5]. By making use of the polynomials over p F instead of p2 F , we determine the algebraic
structure of additive polycyclic codes over p2 F and present their generators completely. We also find the
cardinality for these codes. Moreover, under certain conditions, we show that the Euclidean duals of
additive polycyclic codes over p2 F are also additive polycyclic codes over p2 F . Finally, we illustrate
what we discuss in this study by offering some examples of additive polycyclic codes over 9 F that
enclose codewords as three times the number of the codewords of the optimal linear codes with the same
length and minimum distance.