The field of error correction and coding theory is witnessing significant developments, with a focus on constructing optimal codes and improving existing ones. Researchers are exploring new approaches to construct maximum distance separable (MDS) codes, which are considered optimal due to their maximum minimum distance for a given length and code size. The construction of non-generalized Reed-Solomon MDS codes and the investigation of their properties are gaining attention. Additionally, the study of DNA data storage systems is leading to new insights into the coverage depth problem and the development of more efficient codes. Quantum error correction is also an active area of research, with the development of new codes such as Generalized Bicycle codes and the comparison of their performance with existing surface codes. Noteworthy papers in this area include: The Construction of non-generalized Reed-Solomon MDS codes based on systematic generator matrix, which provides a new construction of non-GRS MDS codes. The paper On the Hulls of Group Codes, which proves a general criterion for the existence of group codes with given hull dimension. The paper The Construction of Near-optimal Universal Coding of Integers, which achieves a near-optimal universal coding of integers with a minimum expansion factor of 2.0386.