Elliptic Curve Digital Signature Algorithm

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  • The Digital Signature Algorithm (DSA) was specified in a U.S. Government Federal Information Processing Standard (FIPS) called the Digital Signature Standard (DSS [70]).

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  • In this paper, we present the results of our implementation of elliptic curve cryptography (ECC) over the field GF (p) on an 80-MHz, 32-bit ARM microprocessor. We have produced a practical software library which supports variable length implementation of the elliptic curve digital signature algorithm (ECDSA).

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  • Abstract Elliptic curve cryptosystems offer security comparable to that of traditional asymmetric cryptosystems, such as those based on the RSA encryption and digital signature algorithms, with smaller keys and computationally more efficient algorithms.

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  • The paper gives an introduction to elliptic curve cryptography (ECC) and how it is used in the implementation of digital signature (ECDSA) and key agreement (ECDH) Algorithms. The paper discusses the implementation of ECC on two finite fields, prime field and binary field.

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  • For an equivalent level of security, elliptic curve cryptography uses shorter key sizes and is considered to be an excellent candidate for constrained environments like wireless/mobile communications. In FIPS 186-2, NIST recommends several finite fields to be used in the elliptic curve digital signature algorithm (ECDSA). Of the ten recommended finite fields, five are binary extension fields with degrees ranging from 163 to 571. The fundamental building block of the ECDSA, like any ECC based protocol, is elliptic curve scalar mul- tiplication.

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