Around LCD group codes

The article delves into the intricate world of group codes, emphasizing their significance in error correction and information security. It presents a thorough characterization of group codes, highlighting their properties as right ideals in group algebras. The study explores the rarity and construction of LCD MDS group codes and provides a method for constructing nearly LCD group codes, which are of particular interest in protecting information against side-channel attacks. The research addresses open questions in the field and offers insights into the divisors of LCD group codes, making it a valuable resource for specialists in coding theory and cryptography.