Design and Validation of Low-Power Secure and Dependable Elliptic Curve Cryptosystem

The elliptic curve cryptosystem (ECC) has been proven to be vulnerable to non-invasive side-channel analysis attacks, such as timing, power, visible light, electromagnetic emanation, and acoustic analysis attacks. In ECC, the scalar multiplication component is considered to be highly susceptible to side-channel attacks (SCAs) because it consumes the most power and leaks the most information. In this work, we design a robust asynchronous circuit for scalar multiplication that is resistant to state-of-the-art timing, power, and fault analysis attacks. We leverage the genetic algorithm with multi-objective fitness function to generate a standard Boolean logic-based combinational circuit for scalar multiplication. We transform this circuit into a multi-threshold dual-spacer dual-rail delay-insensitive logic (MTD3L) circuit. We then design point-addition and point-doubling circuits using the same procedure. Finally, we integrate these components together into a complete secure and dependable ECC processor. We design and validate the ECC processor using Xilinx ISE 14.7 and implement it in a Xilinx Kintex-7 field-programmable gate array (FPGA).

Comparative analysis of the scalar point multiplication algorithms in the NIST FIPS 186 elliptic curve cryptography

In today's world, the problem of information security is becoming critical. One of the most common cryptographic approaches is the elliptic curve cryptosystem. However, in elliptic curve arithmetic, the scalar point multiplication is the most expensive compared to the others. In this paper, we analyze the efficiency of the scalar multiplication on elliptic curves comparing Affine, Projective, Jacobian, Jacobi-Chudnovsky, and Modified Jacobian representations of an elliptic curve. For each coordinate system, we compare Fast exponentiation, Nonadjacent form (NAF), and Window methods. We show that the Window method is the best providing lower execution time on considered coordinate systems.

Novel Blind Signcryption Scheme for E-Voting System Based on Elliptic Curves

To make the electoral process more secure, comfortable, and universal, it is essential to use modern cryptographic techniques for ensuring the anonymity of information in the electronic voting system. In many emerging applications like electronic voting data anonymity as well as un-traceability are the most essential security properties. To ensure these properties we present here in this paper a more secure and comparatively efficient blind signcryption scheme using the Elliptic Curve Cryptosystem (ECC). The existing e-voting schemes are based on El-Gamal and the Rivest-Shamir-Adleman(RSA) cryptosystems which are not only expensive approaches but also lack the security features like unlinkability and forward secrecy. In our proposed scheme we use a low-cost elliptic curve cryptosystem with 160 bits key as compared to El-Gamal 2048 bits key and RSA 1024 bits key. In this scheme signer signs the message blindly without knowing the original contents then the voter forward signcrypted vote to polling server. The polling server is the actual voter data verifier or validator. The polling server checks the validity/authenticity of the voter and has the right to accept or reject the vote. Moreover, this scheme offers forward secrecy, unlinkability, and non-repudiation in addition to the basic security features like confidentiality, authenticity, integrity, and unforgeability. Overall performance evaluation proves that our scheme is comparatively more efficient in terms of computational and communicational costs. Furthermore, this scheme is suitable for the e-voting system due to its lower cost and extra security features.

Image encryption based on elliptic curve cryptosystem

Image encryption based on elliptic curve cryptosystem and reducing its complexity is still being actively researched. Generating matrix for encryption algorithm secret key together with Hilbert matrix will be involved in this study. For a first case we will need not to compute the inverse matrix for the decryption processing cause the matrix that be generated in encryption step was self invertible matrix. While for the second case, computing the inverse matrix will be required. Peak signal to noise ratio (PSNR), and unified average changing intensity (UACI) will be used to assess which case is more efficiency to encryption the grayscale image.