On the Structure of the Linear Codes with a Given Automorphism

09/11/2023
by   Stefka Bouyuklieva, et al.
0

The purpose of this paper is to present the structure of the linear codes over a finite field with q elements that have a permutation automorphism of order m. These codes can be considered as generalized quasi-cyclic codes. Quasi-cyclic codes and almost quasi-cyclic codes are discussed in detail, presenting necessary and sufficient conditions for which linear codes with such an automorphism are self-orthogonal, self-dual, or linear complementary dual.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset