A Review of Key Length SelectionFormula for Elliptic Curve Cryptosystems

Abstract

Cryptography is an important tool in e-commerce because it allows the cryptographic protection of electronic information in an e-commerce. The effectiveness of this protection depends on many variables such as length of the key, cryptographic protocols and the selection of passwords. This paper specifically discusses the selection of the keylength for elliptic curve cryptosystems. Selection of keylength is an important factor in determining the security level of the cryptography used. In this paper we discuss the determination of the key length for public key cryptography based on a set of parameters which are explicitly formulated. Another factor that determines the key length is also discussed in this paper such as the effort and costs incurred for the attack against elliptic curve cryptosystem.

Keywords: The Key length, Level of Security, Elliptic Curve Cryptosystems, Cryptographic Key Sizes, Cryptography.