Comparative Study of Keccak SHA-3 Implementations

This paper conducts an extensive comparative study of state-of-the-art solutions for im- plementing the SHA-3 hash function. SHA-3, a pivotal component in modern cryptography, has spawned numerous implementations across diverse platforms and technologies. This research aims to provide valuable insights into selecting and optimizing Keccak SHA-3 implementations. Our study encompasses an in-depth analysis of hardware, software, and software–hardware (hybrid) solutions. We assess the strengths, weaknesses, and performance metrics of each approach. Critical factors, including computational efficiency, scalability, and flexibility, are evaluated across differ- ent use cases. We investigate how each implementation performs in terms of speed and resource utilization. This research aims to improve the knowledge of cryptographic systems, aiding in the informed design and deployment of efficient cryptographic solutions. By providing a comprehensive overview of SHA-3 implementations, this study offers a clear understanding of the available options and equips professionals and researchers with the necessary insights to make informed decisions in their cryptographic endeavors

Enhanced Lattice-Based Signatures on Reconfigurable Hardware

The recent Bimodal Lattice Signature Scheme (BLISS) showed that lattice-based constructions have evolved to practical alternatives to RSA or ECC. It offers small signatures of 5600 bits for a 128-bit level of security, and proved to be very fast in software. However, due to the complex sampling of Gaussian noise with high precision, it is not clear whether this scheme can be mapped efficiently to embedded devices. Even though the authors of BLISS also proposed a new sampling algorithm using Bernoulli variables this approach is more complex than previous methods using large precomputed tables. The clear disadvantage of using large tables for high performance is that they cannot be used on constrained computing environments, such as FPGAs, with limited memory. In this work we thus present techniques for an efficient Cumulative Distribution Table (CDT) based Gaussian sampler on reconfigurable hardware involving Peikert\u27s convolution lemma and the Kullback-Leibler divergence. Based on our enhanced sampler design, we provide a scalable implementation of BLISS signing and verification on a Xilinx Spartan-6 FPGA supporting either 128-bit, 160-bit, or 192-bit security. For high speed we integrate fast FFT/NTT-based polynomial multiplication, parallel sparse multiplication, Huffman compression of signatures, and Keccak as hash function. Additionally, we compare the CDT with the Bernoulli approach and show that for the particular BLISS-I parameter set the improved CDT approach is faster with lower area consumption. Our BLISS-I core uses 2,291 slices, 5.5 BRAMs, and 5 DSPs and performs a signing operation in 114.1 us on average. Verification is even faster with a latency of 61.2 us and 17,101 supported verification operations per second

Comprehensive Evaluation of High-Speed and Medium-Speed Implementations of Five SHA-3 Finalists Using Xilinx and Altera FPGAs

In this paper we present a comprehensive comparison of all Round 3 SHA-3 candidates and the current standard SHA-2 from the point of view of hardware performance in modern FPGAs. Each algorithm is implemented using multiple architectures based on the concepts of iteration, folding, unrolling, pipelining, and circuit replication. Trade-offs between speed and area are investigated, and the best architecture from the point of view of the throughput to area ratio is identified. Finally, all algorithms are ranked based on their overall performance in FPGAs. The characteristic features of each algorithm important from the point of view of its implementation in hardware are identified

High Level Synthesis and Evaluation of the Secure Hash Standard for FPGAs

Secure hash algorithms (SHAs) are important components of cryptographic applications. SHA performance on central processing units (CPUs) is slow, therefore, acceleration must be done using hardware such as Field Programmable Gate Arrays (FPGAs). Considerable work has been done in academia using FPGAs to accelerate SHAs. These designs were implemented using Hardware Description Language (HDL) based design methodologies, which are tedious and time consuming. High Level Synthesis (HLS) enables designers to synthesize optimized FPGA hardware from algorithm specifications in programming languages such as C/C++. This substantially reduces the design cost and time. In this thesis, the Altera SDK for OpenCL (AOCL) HLS tool was used to synthesize the SHAs on FPGAs and to explore the design space of the algorithms. The results were evaluated against the previous HDL based designs. Synthesized FPGA hardware performance was comparable to the HDL based designs despite the simpler and faster design process