IJPAM: Volume 81, No. 5 (2012)
CRYPTOGRAPHIC SCHEME FOR QER CRYPTOSYSTEM




Shri Shankaracharya Engineering College
Junwani, Bhilai (C.G.), INDIA

Stevens Institute of Technology Hoboken
New Jersey 07030, USA

R.T.M. Nagpur University
Nagpur (M.S.), INDIA
Abstract. In 1984, Shamir proposed the concept of the identity-based
cryptosystem. Instead of generating and publishing a public key
for each user, the identity-based scheme permits each user to
choose his name or network address as his public key. This is
advantageous to public-key cryptosystems because the public-key
verification is so easy and direct.This paper proposes a new
identity-based cryptographic scheme for implementing public-key
cryptosystem based on quadratic exponentiation randomized
cryptosystem.The major advantage of the identity-based
cryptosystem based on our scheme over other published
identity-based cryptosystems is that the number of users can be
extended to users without degrading the system's security
even when users cospire, where
is the number of the system's
secrets and
is the number of factors in
.
Received: July 9, 2012
AMS Subject Classification: 94A60, 81P94, 86P24
Key Words and Phrases: public key cryptosystem (PKC), identity based cryptosystem, discrete logarithm problem (DLP), generalized discrete logarithm problem (GDLP), integer factorization problem (IFP) and quadratic exponentiation randomized (QRC) cryptosystem
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 81
Issue: 5