Description: Overlapping keys are a concept in cryptography that refers to the situation where two or more keys share some bits or common characteristics. This phenomenon can pose a significant risk to the security of cryptographic systems, as the similarity in keys can facilitate brute-force attacks or cryptanalysis. In an environment where keys are used to encrypt sensitive information, overlap can allow an attacker, upon discovering one key, to have a higher probability of deducing other related keys. Overlapping keys can arise from inadequate practices in key generation, such as the use of weak algorithms or the reuse of keys across different systems. Therefore, it is crucial for cryptographic system designers to implement robust methods for key generation, ensuring that each key is unique and does not share characteristics with other keys in use. Diversity in keys is essential to maintain the integrity and confidentiality of encrypted information and to prevent a compromise in one key from compromising other keys in the system.