After two decades of research and development, elliptic curve cryptography now has widespread exposure and acceptance. Industry, banking, and government standards are in place to facilitate extensive deployment of this efficient public-key mechanism. Anchored by a comprehensive treatment of the practical aspects of elliptic curve cryptography (ECC), this guide explains the basic mathematics, describes state-of-the-art implementation methods, and presents standardized protocols for public-key encryption, digital signatures, and key establishment. In addition, the book addresses some issues that arise in software and hardware implementation, as well as side-channel attacks and countermeasures. Readers receive the theoretical fundamentals as an underpinning for a wealth of practical and accessible knowledge about efficient application. Features & Benefits: * Breadth of coverage and unified, integrated approach to elliptic curve cryptosystems * Describes important industry and government protocols, such as the FIPS 186-2 standard from the U.S. National Institute for Standards and Technology * Provides full exposition on techniques for efficiently implementing finite-field and elliptic curve arithmetic* Distills complex mathematics and algorithms for easy understanding* Includes useful literature references, a list of algorithms, and appendices on sample parameters, ECC standards, and software toolsThis comprehensive, highly focused reference is a useful and indispensable resource for practitioners, professionals, or researchers in computer science, computer engineering, network design, and network data security.

https://cdn.preterhuman.net/texts/cryptography/Hankerson,%20Menezes,%20Vanstone.%20Guide%20to%20elliptic%20curve%20cryptography%20(Springer,%202004)(ISBN%20038795273X)(332s)_CsCr_.pdf

Guide to Elliptic Curve Cryptography

In [1,2] we introduced the notion of differential cryptanalysis and described its application to DES[8] and several of its variants. In this paper we show the applicability of differential cryptanalysis to the Feal family of encryption algorithms and to the N-Hash hash function.

Advances in Cryptology — EUROCRYPT ’91

RFID-tags are becoming very popular tools for identification of products. As they have a small microchip on board, they offer functionality that can be used for security purposes. This chip functionality makes it possible to verify the authenticity of a product and hence to detect and prevent counterfeiting. In order to be successful for these security purposes too, RFID-tags have to be resistant against many attacks, in particular against cloning of the tag. In this paper, we investigate how an RFID-tag can be made unclonable by linking it inseparably to a Physical Unclonable Function (PUF). We present the security protocols that are needed for the detection of the authenticity of a product when it is equipped with such a system. We focus on off-line authentication because it is very attractive from a practical point of view. We show that a PUF based solution for RFID-tags is feasible in the off-line case.

RFID-Tags for Anti-Counterfeiting

/pdf/rfid-tags-for-anti-counterfeiting-rjssg8ubn0.pdf

RFID-Tags for anti-counterfeiting

RFID-tags are a new generation of bar-codes with added functionality. An emerging application is the use of RFID-tags for anti-counterfeiting by embedding them into a product. Public-key cryptography (PKC) offers an attractive solution to the counterfeiting problem but whether a publickey cryptosystem can be implemented on an RFID tag or not remains unclear. In this paper, we investigate which PKC-based identification protocols are useful for these anti-counterfeiting applications. We also discuss the feasibility of identification protocols based on elliptic curve cryptography (ECC) and show that it is feasible on RFID tags. Finally, we compare different implementation options and explore the cost that side-channel attack countermeasures would have on such implementations

/pdf/public-key-cryptography-for-rfid-tags-4teztuw4ff.pdf

Public-Key Cryptography for RFID-Tags

Methods of implementing public key algorithms based on modular integer arithmetic (RSA) and finite-field arithmetic (Diffie-Hellman, El Gamal) are examined. Architectures for VLSI implementations are emphasized. >

T. Beth

Papers

Algorithm engineering for public key algorithms