Challenges and Opportunities with ECC and Noncommutative Cryptography: A Survey Perspective

Due rapid growth in technological tools and techniques, there are various required considerations to take in the field of information security. The buzzwords of security and privacy are always being important observations in that regards. If consider the overall scenario Elliptic Curve Cryptography (ECC) is releasing one of the most powerful algorithm in relation to better performance and security related concerns than RSA algorithm. It is working as light-weight cryptography due to following reasons such as low computation costs, use of shorter key sizes, and the discrete logarithmic problem is nearly is hard to achieve on computational complexities. With ECC algorithm, to implement the same with noncommutative cryptography assumptions, which is one of the possible generalizations on noncommutative properties, that adds valuable research contributions in perfect secrecy. The prospective thoughts are considered in relation to the same.