High Speed and Low-Complexity Hardware Architectures for Elliptic Curve-Based Crypto-Processors

The elliptic curve cryptography (ECC) has been identified as an efficient scheme for public-key cryptography. This thesis studies efficient implementation of ECC crypto-processors on hardware platforms in a bottom-up approach. We first study efficient and low-complexity architectures for finite field multiplications over Gaussian normal basis (GNB). We propose three new low-complexity digit-level architectures for finite field multiplication. Architectures are modified in order to make them more suitable for hardware implementations specially focusing on reducing the area usage. Then, for the first time, we propose a hybrid digit-level multiplier architecture which performs two multiplications together (double-multiplication) with the same number of clock cycles required as the one for one multiplication. We propose a new hardware architecture for point multiplication on newly introduced binary Edwards and generalized Hessian curves. We investigate higher level parallelization and lower level scheduling for point multiplication on these curves. Also, we propose a highly parallel architecture for point multiplication on Koblitz curves by modifying the addition formulation. Several FPGA implementations exploiting these modifications are presented in this thesis. We employed the proposed hybrid multiplier architecture to reduce the latency of point multiplication in ECC crypto-processors as well as the double-exponentiation. This scheme is the first known method to increase the speed of point multiplication whenever parallelization fails due to the data dependencies amongst lower level arithmetic computations. Our comparison results show that our proposed multiplier architectures outperform the counterparts available in the literature. Furthermore, fast computation of point multiplication on different binary elliptic curves is achieved

Integrating emerging cryptographic engineering research and security education

Unlike traditional embedded systems such as secure smart cards, emerging secure deeply embedded systems, e.g., implantable and wearable medical devices, have larger “attack surface”. A security breach in such systems which are embedded deeply in human bodies or objects would be life-threatening, for which adopting traditional solutions might not be practical due to tight constraints of these often-battery-powered systems. Unfortunately, although emerging cryptographic engineering research mechanisms have started solving this critical problem, university education (at both graduate and undergraduate level) lags comparably. One of the pivotal reasons for such a lag is the multi-disciplinary nature of the emerging security bottlenecks (mathematics, engineering, science, and medicine, to name a few). Based on the aforementioned motivation, in this paper, we present an effective research and education integration strategy to overcome this issue at Rochester Institute of Technology. Moreover, we present the results of more than one year implementation of the presented strategy at graduate level through “side-channel analysis attacks” case studies. The results of the presented work show the success of the presented methodology while pinpointing the challenges encountered compared to traditional embedded system security research/teaching integration

Education and Research Integration of Emerging Multidisciplinary Medical Devices Security

Traditional embedded systems such as secure smart cards and nano-sensor networks have been utilized in various usage models. Nevertheless, emerging secure deeply-embedded systems, e.g., implantable and wearable medical devices, have comparably larger “attack surface”. Specifically, with respect to medical devices, a security breach can be life-threatening (for which adopting traditional solutions might not be practical due to tight constraints of these often-battery-powered systems), and unlike traditional embedded systems, it is not only a matter of financial loss. Unfortunately, although emerging cryptographic engineering research mechanisms for such deeply-embedded systems have started solving this critical, vital problem, university education (at both graduate and undergraduate level) lags comparably. One of the pivotal reasons for such a lag is the multi-disciplinary nature of the emerging security bottlenecks. Based on the aforementioned motivation, in this work, at Rochester Institute of Technology, we present an effective research and education integration strategy to overcome this issue in one of the most critical deeply-embedded systems, i.e., medical devices. Moreover, we present the results of two years of implementation of the presented strategy at graduate-level through fault analysis attacks, a variant of side-channel attacks. We note that the authors also supervise an undergraduate student and the outcome of the presented work has been assessed for that student as well; however, the emphasis is on graduate-level integration. The results of the presented work show the success of the presented methodology while pinpointing the challenges encountered compared to traditional embedded system security research/teaching integration of medical devices security. We would like to emphasize that our integration approaches are general and scalable to other critical infrastructures as well

Multidisciplinary Approaches and Challenges in Integrating Emerging Medical Devices Security Research and Education

Traditional embedded systems such as secure smart cards and nano-sensor networks have been utilized in various usage models. Nevertheless, emerging secure deeply-embedded systems, e.g., implantable and wearable medical devices, have comparably larger “attack surface”. Specifically, with respect to medical devices, a security breach can be life-threatening (for which adopting traditional solutions might not be practical due to tight constraints of these often-battery-powered systems), and unlike traditional embedded systems, it is not only a matter of financial loss. Unfortunately, although emerging cryptographic engineering research mechanisms for such deeply-embedded systems have started solving this critical, vital problem, university education (at both graduate and undergraduate level) lags comparably. One of the pivotal reasons for such a lag is the multi-disciplinary nature of the emerging security bottlenecks. Based on the aforementioned motivation, in this work, at Rochester Institute of Technology, we present an effective research and education integration strategy to overcome this issue in one of the most critical deeply-embedded systems, i.e., medical devices. Moreover, we present the results of two years of implementation of the presented strategy at graduate-level through fault analysis attacks, a variant of side-channel attacks. We note that the authors also supervise an undergraduate student and the outcome of the presented work has been assessed for that student as well; however, the emphasis is on graduate-level integration. The results of the presented work show the success of the presented methodology while pinpointing the challenges encountered compared to traditional embedded system security research/teaching integration of medical devices security. We would like to emphasize that our integration approaches are general and scalable to other critical infrastructures as well

Curve448 on 32-bit ARM Cortex-M4

Public key cryptography is widely used in key exchange and digital signature protocols. Public key cryptography requires expensive primitive operations, such as finite-field and group operations. These finite-field and group operations require a number of clock cycles to exe- cute. By carefully optimizing these primitive operations, public key cryp- tography can be performed with reasonably fast execution timing. In this paper, we present the new implementation result of Curve448 on 32-bit ARM Cortex-M4 microcontrollers. We adopted state-of-art implementa- tion methods, and some previous methods were re-designed to fully uti- lize the features of the target microcontrollers. The implementation was also performed with constant timing by utilizing the features of micro- controllers and algorithms. Finally, the scalar multiplication of Curve448 on 32-bit ARM Cortex-M4@168MHz microcontrollers requires 6,285,904 clock cycles. To the best of our knowledge, this is the first optimized im- plementation of Curve448 on 32-bit ARM Cortex-M4 microcontrollers. The result is also compared with other ECC and post-quantum cryptog- raphy (PQC) implementations. The proposed ECC and the-state-of-art PQC results show the practical usage of hybrid post-quantum TLS on the target processor

Modeling Quantum-Safe Authenticated Key Establishment, and an Isogeny-Based Protocol

We propose a security model for authenticated key establishment in the quantum setting. Our model is the first for authenticated key establishment that allows for quantum superpositions of queries. The model builds on the classical Canetti-Krawczyk model but allows quantum interactions between the adversary and quantum oracles that emulate classical parties. We demonstrate that this new security definition is satisfiable by giving a generic construction from simpler cryptographic primitives and a specific protocol which is secure in the quantum random oracle model, under the supersingular isogeny decisional Diffie-Hellman assumption (SIDH)

Algorithmic Security is Insufficient: A Comprehensive Survey on Implementation Attacks Haunting Post-Quantum Security

This survey is on forward-looking, emerging security concerns in post-quantum era, i.e., the implementation attacks for 2022 winners of NIST post-quantum cryptography (PQC) competition and thus the visions, insights, and discussions can be used as a step forward towards scrutinizing the new standards for applications ranging from Metaverse, Web 3.0 to deeply-embedded systems. The rapid advances in quantum computing have brought immense opportunities for scientific discovery and technological progress; however, it poses a major risk to today's security since advanced quantum computers are believed to break all traditional public-key cryptographic algorithms. This has led to active research on PQC algorithms that are believed to be secure against classical and powerful quantum computers. However, algorithmic security is unfortunately insufficient, and many cryptographic algorithms are vulnerable to side-channel attacks (SCA), where an attacker passively or actively gets side-channel data to compromise the security properties that are assumed to be safe theoretically. In this survey, we explore such imminent threats and their countermeasures with respect to PQC. We provide the respective, latest advancements in PQC research, as well as assessments and providing visions on the different types of SCAs

A Comprehensive Survey on the Implementations, Attacks, and Countermeasures of the Current NIST Lightweight Cryptography Standard

This survey is the first work on the current standard for lightweight cryptography, standardized in 2023. Lightweight cryptography plays a vital role in securing resource-constrained embedded systems such as deeply-embedded systems (implantable and wearable medical devices, smart fabrics, smart homes, and the like), radio frequency identification (RFID) tags, sensor networks, and privacy-constrained usage models. National Institute of Standards and Technology (NIST) initiated a standardization process for lightweight cryptography and after a relatively-long multi-year effort, eventually, in Feb. 2023, the competition ended with ASCON as the winner. This lightweight cryptographic standard will be used in deeply-embedded architectures to provide security through confidentiality and integrity/authentication (the dual of the legacy AES-GCM block cipher which is the NIST standard for symmetric key cryptography). ASCON's lightweight design utilizes a 320-bit permutation which is bit-sliced into five 64-bit register words, providing 128-bit level security. This work summarizes the different implementations of ASCON on field-programmable gate array (FPGA) and ASIC hardware platforms on the basis of area, power, throughput, energy, and efficiency overheads. The presented work also reviews various differential and side-channel analysis attacks (SCAs) performed across variants of ASCON cipher suite in terms of algebraic, cube/cube-like, forgery, fault injection, and power analysis attacks as well as the countermeasures for these attacks. We also provide our insights and visions throughout this survey to provide new future directions in different domains. This survey is the first one in its kind and a step forward towards scrutinizing the advantages and future directions of the NIST lightweight cryptography standard introduced in 2023