Quadratic Residue Codes over $mathbb{Z}_{121}$
arXiv:2603.24689v1 Announce Type: new Abstract: In this paper, we construct a special family of cyclic codes, known as quadratic residue codes of prime length ( p equiv pm 1 pmod{44} ,) ( p equiv pm 5 pmod{44} ,) ( p equiv pm 7 pmod{44} ,) ( p equiv pm 9 pmod{44} ) and ( p equiv pm 19 pmod{44} ) over $mathbb{Z}_{121}$ by defining them using their generating idempotents. Furthermore, the properties of these codes and extended quadratic […]