Recursive construction and enumeration of self-orthogonal and self-dual codes over finite commutative chain rings of even characteristic

Key Points

• Self-orthogonal codes are generated recursively, providing a structured approach to their construction.
• Enumeration of codes reveals specific properties of self-dual codes, highlighting their significance in coding theory.
• The study involves finite commutative chain rings, specifically focusing on their even characteristic for code analysis.
• This work suggests that new construction methods could enhance error correction in digital communications.