Thursday 28th of March 2024
 

Secured Directed Digital Signature over Non-CommutativeDivision Semirings and Allocation of Experimental Registration Number


G.S.G.N.Anjaneyulu and D.U.M.Reddy

Directed digital signatures are probably the most important and widely used cryptographic primitive enabled by public key technology, and they are building blocks of many modern distributed computer applications. But many existing signatures schemes lie in the intractability of problems closely related to the number theory than group theory. In this paper, we present a new directed digital signature scheme based on general non-commutative division semiring. For this, we construct the polynomials as the elements of additive structure of the semiring and take them as the underlying work structure. Then the signature scheme is developed on the multiplicative structure of the division semiring. And also we present one important application Registration Process in different situations in common practice. For this, we use a directed digital signature, to design a scheme such that the scheme provides a registration number to a person or an organization. The registration number cant be forged and misused and is the strength of the algorithm. The security of the proposed directed signature scheme and registration number is based on the intractability of the Polynomial Symmetrical Decomposition Problem over the given non-commutative division semirings. Keywords: Directed Digital Signature, Polynomial Decomposition problem, Non-commutative Division Semiring, Registration number.

Keywords: Directed Digital Signature, Polynomial Decomposition problem, Non-commutative Division Semiring, Registration number.

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ABOUT THE AUTHORS

G.S.G.N.Anjaneyulu
Dr.G.S.G.N.Anjaneyulu received B.Sc degree in computer science with Mathematics, from Andhra university, Vishakhapatnam in 1996, M.Sc in Mathematics(II..rank) in 1998, M.phil in the ‘Theory of semirings’ in 2004 and in 2008, he received his Ph.D in ‘Digital signatures using semiring structures’ from S.V.University, Tirupati, India. He has nearly fifteen years of teaching experience in graduate, post graduate and Engineering Mathematics. He is currently working as an Associate professor, Dept. of Mathematics, VIT Universty, vellore, Tamilanadu,India. His current research interest includes ‘Cryptography techniques using algebraic structures’.

D.U.M.Reddy
Dr.U.M.Reddy received B.Sc degree in Mathematics in 1968, M.Sc in Mathematics in 1970 and Ph.D in Mathematics in 1987 from S.V.University, Tirupati, A.P, India. He worked as Associate Professor of Mathematics in S.V.University college of Engineering. He attended two international conferences in Modern algebra and has three publications in international journals. He has nearly fourteen years of teaching experience both in Engineering and P.G. Mathematics.


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