High-Throughput Hardware Architecture for the SWIFFT / SWIFFTX Hash Functions

Introduced in 1996 and greatly developed over the last few years, Lattice-based cryptography oers a whole set of primitives with nice features, including provable security and asymptotic efficiency. Going from \asymptotic to \real-world efficiency seems important as the set of available primitives increases in size and functionality. In this present paper, we explore the improvements that can be obtained through the use of an FPGA architecture for implementing an ideal-lattice based cryptographic primitive. We chose to target two of the simplest, yet powerful and useful, lattice-based primitives, namely the SWIFFT and SWIFFTX primitives. Apart from being simple, those are also of central use for future primitives as Lyubashevsky\u27s lattice-based signatures. We present a high-throughput FPGA architecture for the SWIFFT and SWIFFTX primitives. One of the main features of this implementation is an efficient implementation of a variant of the Fast Fourier Transform of order 64 on Z257. On a Virtex-5 LX110T FPGA, we are able to hash 0.6GB/s, which shows a ca. 16x speedup compared to SIMD implementations of the literature. We feel that this demonstrates the revelance of FPGA as a target architecture for the implementation of ideal-lattice based primitives

Implementation and Comparison of Lattice-based Identification Protocols on Smart Cards and Microcontrollers

Most lattice-based cryptographic schemes which enjoy a security proof suffer from huge key sizes and heavy computations. This is also true for the simpler case of identification protocols. Recent progress on ideal lattices has significantly improved the efficiency, and made it possible to implement practical lattice-based cryptography on constrained devices like FPGAs and smart phones. However, to the best of our knowledge, no previous attempts were made to implement lattice-based schemes on smart cards. In this paper, we report the results of our implementation of several state-of-the-art and highly-secure lattice-based identification protocols on smart cards and microcontrollers. Our results show that only a few of such protocols fit into the limitations of these devices. We also discuss the implementation challenges and techniques to perform lattice-based cryptography on constrained devices, which may be of independent interest

Cryptographic extensions for custom and GPU-like architectures

The PhD thesis work deals with the exploration of hardware architectures dedicated to cryptographic applications, in particular, solutions based on reconfigurable hardware, such as FPGA. The thesis presents the results achieved for the acceleration of operations essential to homomorphic cryptography, specifically, the integer multiplication of very long operands, based on the Schonhage-Strassen algorithm and implemented with an ad-hoc FPGA hardware. Then, the thesis reports the exploration of novelty approaches for cryptographic acceleration, based on vectorial dedicated architectures, software programmable, with the corresponding implementation of symmetric and public key operations (namely, AES encryption and Montgomery multiplication) with improved performances

SoK: Fully Homomorphic Encryption Accelerators

Fully Homomorphic Encryption~(FHE) is a key technology enabling privacy-preserving computing. However, the fundamental challenge of FHE is its inefficiency, due primarily to the underlying polynomial computations with high computation complexity and extremely time-consuming ciphertext maintenance operations. To tackle this challenge, various FHE accelerators have recently been proposed by both research and industrial communities. This paper takes the first initiative to conduct a systematic study on the 14 FHE accelerators -- cuHE/cuFHE, nuFHE, HEAT, HEAX, HEXL, HEXL-FPGA, 100$\times$, F1, CraterLake, BTS, ARK, Poseidon, FAB and TensorFHE. We first make our observations on the evolution trajectory of these existing FHE accelerators to establish a qualitative connection between them. Then, we perform testbed evaluations of representative open-source FHE accelerators to provide a quantitative comparison on them. Finally, with the insights learned from both qualitative and quantitative studies, we discuss potential directions to inform the future design and implementation for FHE accelerators

On Constrained Implementation of Lattice-based Cryptographic Primitives and Schemes on Smart Cards

Most lattice-based cryptographic schemes with a security proof suffer from large key sizes and heavy computations. This is also true for the simpler case of authentication protocols which are used on smart cards, as a very-constrained computing environment. Recent progress on ideal lattices has significantly improved the efficiency, and made it possible to implement practical lattice-based cryptography on constrained devices. However, to the best of our knowledge, no previous attempts were made to implement lattice-based schemes on smart cards. In this paper, we provide the results of our implementation of several state-of-the-art lattice-based authentication protocols on smart cards and a microcontroller widely used in smart cards. Our results show that only a few of the proposed lattice-based authentication protocols can be implemented using limited resources of such constrained devices, however, cutting-edge ones are suitably efficient to be used practically on smart cards. Moreover, we have implemented fast Fourier transform (FFT) and discrete Gaussian sampling with different typical parameter sets, as well as versatile lattice-based public-key encryptions. These results have noticeable points which help to design or optimize lattice-based schemes for constrained devices

Digital Beamforming Implementation on an FPGA Platform

This work is part of UPC contribution to the CORPA (Cost-Optimised high Performance Active Receive Phase Array antenna for mobile terminals) project of ESA (European Space Agency)The objective of the work presented is to implement a Digital Beamforming (DBF) platform for an antenna array receiver designed for the S-DMB system. Our project deals with the design of antenna arrays from a hardware point of view, in contrast to other theo- retic studies regarding DBF algorithms. Hence, we will study practical aspects of DBF implementation such as signal quantization and required computational resources

Runtime Hardware Reconfiguration in Wireless Sensor Networks for Condition Monitoring

The integration of miniaturized heterogeneous electronic components has enabled the deployment of tiny sensing platforms empowered by wireless connectivity known as wireless sensor networks. Thanks to an optimized duty-cycled activity, the energy consumption of these battery-powered devices can be reduced to a level where several years of operation is possible. However, the processing capability of currently available wireless sensor nodes does not scale well with the observation of phenomena requiring a high sampling resolution. The large amount of data generated by the sensors cannot be handled efficiently by low-power wireless communication protocols without a preliminary filtering of the information relevant for the application. For this purpose, energy-efficient, flexible, fast and accurate processing units are required to extract important features from the sensor data and relieve the operating system from computationally demanding tasks. Reconfigurable hardware is identified as a suitable technology to fulfill these requirements, balancing implementation flexibility with performance and energy-efficiency. While both static and dynamic power consumption of field programmable gate arrays has often been pointed out as prohibitive for very-low-power applications, recent programmable logic chips based on non-volatile memory appear as a potential solution overcoming this constraint. This thesis first verifies this assumption with the help of a modular sensor node built around a field programmable gate array based on Flash technology. Short and autonomous duty-cycled operation combined with hardware acceleration efficiently drop the energy consumption of the device in the considered context. However, Flash-based devices suffer from restrictions such as long configuration times and limited resources, which reduce their suitability for complex processing tasks. A template of a dynamically reconfigurable architecture built around coarse-grained reconfigurable function units is proposed in a second part of this work to overcome these issues. The module is conceived as an overlay of the sensor node FPGA increasing the implementation flexibility and introducing a standardized programming model. Mechanisms for virtual reconfiguration tailored for resource-constrained systems are introduced to minimize the overhead induced by this genericity. The definition of this template architecture leaves room for design space exploration and application- specific customization. Nevertheless, this aspect must be supported by appropriate design tools which facilitate and automate the generation of low-level design files. For this purpose, a software tool is introduced to graphically configure the architecture and operation of the hardware accelerator. A middleware service is further integrated into the wireless sensor network operating system to bridge the gap between the hardware and the design tools, enabling remote reprogramming and scheduling of the hardware functionality at runtime. At last, this hardware and software toolchain is applied to real-world wireless sensor network deployments in the domain of condition monitoring. This category of applications often require the complex analysis of signals in the considered range of sampling frequencies such as vibrations or electrical currents, making the proposed system ideally suited for the implementation. The flexibility of the approach is demonstrated by taking examples with heterogeneous algorithmic specifications. Different data processing tasks executed by the sensor node hardware accelerator are modified at runtime according to application requests

Understanding Quantum Technologies 2022

Understanding Quantum Technologies 2022 is a creative-commons ebook that provides a unique 360 degrees overview of quantum technologies from science and technology to geopolitical and societal issues. It covers quantum physics history, quantum physics 101, gate-based quantum computing, quantum computing engineering (including quantum error corrections and quantum computing energetics), quantum computing hardware (all qubit types, including quantum annealing and quantum simulation paradigms, history, science, research, implementation and vendors), quantum enabling technologies (cryogenics, control electronics, photonics, components fabs, raw materials), quantum computing algorithms, software development tools and use cases, unconventional computing (potential alternatives to quantum and classical computing), quantum telecommunications and cryptography, quantum sensing, quantum technologies around the world, quantum technologies societal impact and even quantum fake sciences. The main audience are computer science engineers, developers and IT specialists as well as quantum scientists and students who want to acquire a global view of how quantum technologies work, and particularly quantum computing. This version is an extensive update to the 2021 edition published in October 2021.Comment: 1132 pages, 920 figures, Letter forma