Standard Lattice-Based Key Encapsulation on Embedded Devices

Lattice-based cryptography is one of the most promising candidates being considered to replace current public-key systems in the era of quantum computing. In 2016, Bos et al. proposed the key exchange scheme FrodoCCS, that is also a submission to the NIST post-quantum standardization process, modified as a key encapsulation mechanism (FrodoKEM). The security of the scheme is based on standard lattices and the learning with errors problem. Due to the large parameters, standard latticebased schemes have long been considered impractical on embedded devices. The FrodoKEM proposal actually comes with parameters that bring standard lattice-based cryptography within reach of being feasible on constrained devices. In this work, we take the final step of efficiently implementing the scheme on a low-cost FPGA and microcontroller devices and thus making conservative post-quantum cryptography practical on small devices. Our FPGA implementation of the decapsulation (the computationally most expensive operation) needs 7,220 look-up tables (LUTs), 3,549 flip-flops (FFs), a single DSP, and only 16 block RAM modules. The maximum clock frequency is 162 MHz and it takes 20.7 ms for the execution of the decapsulation. Our microcontroller implementation has a 66% reduced peak stack usage in comparison to the reference implementation and needs 266 ms for key pair generation, 284 ms for encapsulation, and 286 ms for decapsulation. Our results contribute to the practical evaluation of a post-quantum standardization candidate

A Novel Approach to e-Voting with Group Identity Based Identification and Homomorphic Encryption

This paper presents a novel e-voting scheme that combines Group Identity-based Identification (GIBI) with Homomorphic Encryption (HE) based on the discrete logarithmic assumption. The proposed scheme uses the Schnorr-like GIBI scheme for voter identification and authorization using Zero-Knowledge (ZK) proof to ensure the anonymity and eligibility of voters. The use of Distributed ElGamal (DE) provides fairness and receipt-freeness, while the use of partial shares for decryption enables individual and universal verifiability without the need for a central authority. Voters can maintain uncoerability by encrypting their votes and casting ballots based on their own choice. The proposed scheme is secure under various scenarios and robust in the Random Oracle (RO) model. The GIBI-HE scheme offers a promising solution for e-voting, providing a sustainable and accessible environment for voters while supports unreusability of votes and protecting privacy of voter