Decryption Failure Attacks on Post-Quantum Cryptography

This dissertation discusses mainly new cryptanalytical results related to issues of securely implementing the next generation of asymmetric cryptography, or Public-Key Cryptography (PKC).PKC, as it has been deployed until today, depends heavily on the integer factorization and the discrete logarithm problems.Unfortunately, it has been well-known since the mid-90s, that these mathematical problems can be solved due to Peter Shor's algorithm for quantum computers, which achieves the answers in polynomial time.The recently accelerated pace of R&D towards quantum computers, eventually of sufficient size and power to threaten cryptography, has led the crypto research community towards a major shift of focus.A project towards standardization of Post-quantum Cryptography (PQC) was launched by the US-based standardization organization, NIST. PQC is the name given to algorithms designed for running on classical hardware/software whilst being resistant to attacks from quantum computers.PQC is well suited for replacing the current asymmetric schemes.A primary motivation for the project is to guide publicly available research toward the singular goal of finding weaknesses in the proposed next generation of PKC.For public key encryption (PKE) or digital signature (DS) schemes to be considered secure they must be shown to rely heavily on well-known mathematical problems with theoretical proofs of security under established models, such as indistinguishability under chosen ciphertext attack (IND-CCA).Also, they must withstand serious attack attempts by well-renowned cryptographers both concerning theoretical security and the actual software/hardware instantiations.It is well-known that security models, such as IND-CCA, are not designed to capture the intricacies of inner-state leakages.Such leakages are named side-channels, which is currently a major topic of interest in the NIST PQC project.This dissertation focuses on two things, in general:1) how does the low but non-zero probability of decryption failures affect the cryptanalysis of these new PQC candidates?And 2) how might side-channel vulnerabilities inadvertently be introduced when going from theory to the practice of software/hardware implementations?Of main concern are PQC algorithms based on lattice theory and coding theory.The primary contributions are the discovery of novel decryption failure side-channel attacks, improvements on existing attacks, an alternative implementation to a part of a PQC scheme, and some more theoretical cryptanalytical results

A Key-Recovery Side-Channel Attack on Classic McEliece Implementations

In this paper, we propose the first key-recovery side-channel attack on Classic McEliece, a KEM finalist in the NIST Post-quantum Cryptography Standardization Project. Our novel idea is to design an attack algorithm where we submit special ciphertexts to the decryption oracle that correspond to cases of single errors. Decoding of such ciphertexts involves only a single entry in a large secret permutation, which is part of the secret key. Through an identified leakage in the additive FFT step used to evaluate the error locator polynomial, a single entry of the secret permutation can be determined. Iterating this for other entries leads to full secret key recovery. The attack is described using power analysis both on the FPGA reference implementation and a software implementation running on an ARM Cortex-M4. We use a machine-learning-based classification algorithm to determine the error locator polynomial from a single trace. The attack is fully implemented and evaluated in the Chipwhisperer framework and is successful in practice. For the smallest parameter set, it is using about 300 traces for partial key recovery and less than 800 traces for full key recovery, in the FPGA case. A similar number of traces are required for a successful attack on the ARM software implementation

SCA-LDPC: A Code-Based Framework for Key-Recovery Side-Channel Attacks on Post-Quantum Encryption Schemes

Whereas theoretical attacks on standardized crypto primitives rarely lead to actual practical attacks, the situation is different for side-channel attacks. Improvements in the performance of side-channel attacks are of utmost importance. In this paper, we propose a framework to be used in key-recovery side-channel attacks on CCA-secure post-quantum encryption schemes. The basic idea is to construct chosen ciphertext queries to a plaintext checking oracle that collects information on a set of secret variables in a single query. Then a large number of such queries is considered, each related to a different set of secret variables, and they are modeled as a low-density parity-check code (LDPC code). Secret variables are finally determined through efficient iterative decoding methods, such as belief propagation, using soft information. The utilization of LDPC codes offers efficient decoding, source compression, and error correction benefits. It has been demonstrated that this approach provides significant improvements compared to previous work by reducing the required number of queries, such as the number of traces in a power attack. The framework is demonstrated and implemented in two different cases. On one hand, we attack implementations of HQC in a timing attack, lowering the number of required traces considerably compared to attacks in previous work. On the other hand, we describe and implement a full attack on a masked implementation of Kyber using power analysis. Using the ChipWhisperer evaluation platform, our real-world attacks recover the long-term secret key of a first-order masked implementation of Kyber-768 with an average of only 12 power traces

Onion Routing with Replies

Onion routing (OR) protocols are a crucial tool for providing anonymous internet communication. An OR protocol enables a user to anonymously send requests to a server. A fundamental problem of OR protocols is how to deal with replies: ideally, we would want the server to be able to send a reply back to the anonymous user without knowing or disclosing the user’s identity. Existing OR protocols do allow for such replies, but do not provably protect the payload (i.e., message) of replies against manipulation. Kuhn et al. (IEEE S&P 2020) show that such manipulations can in fact be leveraged to break anonymity of the whole protocol. In this work, we close this gap and provide the first framework and protocols for OR with protected replies. We define security in the sense of an ideal functionality in the universal composability model, and provide corresponding (less complex) game-based security notions for the individual properties. We also provide two secure instantiations of our framework: one based on updatable encryption, and one based on succinct non-interactive arguments (SNARGs) to authenticate payloads both in requests and replies. In both cases, our central technical handle is an implicit authentication of the transmitted payload data, as opposed to an explicit, but insufficient authentication (with MACs) in previous solutions. Our results exhibit a new and surprising application of updatable encryption outside of long-term data storage.ISSN:0302-9743ISSN:1611-334

Onion Routing with Replies

Onion routing (OR) protocols are a crucial tool for providing anonymous internet communication. An OR protocol enables a user to anonymously send requests to a server. A fundamental problem of OR protocols is how to deal with replies: ideally, we would want the server to be able to send a reply back to the anonymous user without knowing or disclosing the user\u27s identity. Existing OR protocols do allow for such replies, but do not provably protect the payload (i.e., message) of replies against manipulation. Kuhn et al. (IEEE S&P 2020) show that such manipulations can in fact be leveraged to break anonymity of the whole protocol. In this work, we close this gap and provide the first framework and protocols for OR with protected replies. We define security in the sense of an ideal functionality in the universal composability model, and provide corresponding (less complex) game-based security notions for the individual properties. We also provide two secure instantiations of our framework: one based on updatable encryption, and one based on succinct non-interactive arguments (SNARGs) to authenticate payloads both in requests and replies. In both cases, our central technical handle is an implicit authentication of the transmitted payload data, as opposed to an explicit, but insufficient authentication (with MACs) in previous solutions. Our results exhibit a new and surprising application of updatable encryption outside of long-term data storage

Formal Foundations for Anonymous Communication

Mit jeder Online-Tätigkeit hinterlassen wir digitale Fußspuren. Unternehmen und Regierungen nutzen die privaten Informationen, die von den riesigen Datenmengen der Online-Spuren abgeleitet werden können, um ihre Nutzer und Büger zu manipulieren. Als Gegenmaßnahme wurden anonyme Kommunikationsnetze vorgeschlagen. Diesen fehlen jedoch umfassende formale Grundlagen und folglich ist der Vergleich zwischen verschiedenen Ansätzen nur sehr eingeschränkt möglich. Mit einer gemeinsamen Grundlage zwischen allen Forschern und Entwicklern von anonymen Kommunikationsnetzen können Missverständnisse vermieden werden und die dringend benötigte Entwicklung von den Netzen wird beschleunigt. Mit Vergleichbarkeit zwischen den Lösungen, können die für den jeweiligen Anwendungsfall optimalen Netze besser identifiziert und damit die Entwicklungsanstrengungen gezielter auf Projekte verteilt werden. Weiterhin ermöglichen formale Grundlagen und Vergleichbarkeit ein tieferes Verständnis für die Grenzen und Effekte der eingesetzten Techniken zu erlangen. Diese Arbeit liefert zuerst neue Erkenntnisse zu generellen Formalisierungen für anonyme Kommunikation, bevor sie sich dann auf die praktisch am meisten verbreitete Technik konzentriert: Onion Routing und Mix Netzwerke. Als erstes wird die Vergleichbarkeit zwischen Privatsphärezielen sichergestellt, indem sie formal definiert und miteinander verglichen werden. Dabei enteht eine umfangreiche Hierarchie von eindeutigen Privatsphärezielen. Als zweites werden vorgeschlagene Netzwerke analysiert, um deren Grundbausteine zu identifizieren und deren Schutz als Auswirkung in der Hierarchy zu untersuchen. Diese Grunlagen erlauben Konflikte und Schwachstellen in existierenden Arbeiten zu entdecken und aufzuklären. Genauer zeigt sich damit, dass basierend of derselben informalen Definition verschieden stark schützende formale Versionen entstanden sind. Weiterhin werden in dieser Arbeit die Notions genutzt um existierende Unmöglichkeitsresultate für anonyme Kommunikation zu vergleichen. Dabei wird nicht nur die erste vollständige Sicht auf alle bekannten Schranken für anonyme Kommunikationsnetze gegeben, sondern mit einem tiefgründigen Ansatz werden die existierenden Schranken auch gestärkt und zu praktischen, dem Stand der Kunst entsprechenden Netzen in Bezug gesetzt. Letztlich konnten durch die generellen Betrachtungen von vorgeschlagenen Netzwerken und ihren Grundbausteinen, insbesondere auch Angriffe auf die vorherrschende Klasse von anonymen Kommunikationsnetzen gefunden werden: auf Onion Routing und Mix-Netzwerke. Davon motiviert wurden als zweiter Teil dieser Arbeit die formalen Grundlagen und praktisch eingesetzten Lösungen for Onion Routing und Mix-Netzwerke untersucht. Dabei wurde festgestellt, dass die bereits erwähnten Angriffe teilweise auf eine fehlerhafte, aber weit verbreitete Beweisstrategie für solche Netze zurückzuführen sind und es wurde eine sichere Beweisstrategie als deren Ersatz vorgeschlagen. Weiterhin wurde die neue Strategie für ein vorgeschlagenes, aber bisher nicht weiter verwendetes Paketformat eingesetzt und dieses als sicher bewiesen. Dieses Paketformat unterstützt allerdings keine Rückantworten, was höchstwahrscheinlich der Grund ist, aus dem sich aktuelle Netze auf ein unsicheres Paketformat verlassen. Deshalb wurde im Rahmen dieser Arbeit eine konzeptuelle, sichere Lösung für Onion Routing mit Rückantworten entworfen. Als weitere verwandte Beiträge, zeigt die Arbeit Beziehungen von Teilen der generellen Ergebnisse für anonyme Kommunikationsnetze zu ähnlichen, aber bisher hauptsächlich getrennt betrachteten Forschungsbereichen, wie Privatsphäre auf der Bitübertragungsschicht, Kontaktnachverfolgung und privatsphäre-schützenden, digitalen Bezahlsystemen

Multiple-Valued Plaintext-Checking Side-Channel Attacks on Post-Quantum KEMs

In this paper, we present a side-channel analysis (SCA) on key encapsulation mechanisms (KEMs) based on the Fujisaki–Okamoto (FO) transformation and its variants. Many post-quantum KEMs usually perform re-encryption during key decapsulation to achieve chosen-ciphertext attack (CCA) security. The side-channel leakage of re-encryption can be exploited to mount a key-recovery plaintext-checking attack (KR-PCA), even if the chosen-plaintext attack (CCA) secure decryption constructing the KEM is securely implemented. Herein, we propose an efficient side-channel-assisted KR-PCA on post-quantum KEMs, and achieve a key recovery with significantly fewer attack traces than existing ones in TCHES 2022 and 2023. The basic concept of the proposed attack is to introduce a new KR-PCA based on a multiple-valued (MV-)PC oracle and then implement a dedicated MV-PC oracle based on a multi-classification neural network (NN). The proposed attack is applicable to the NIST PQC selected algorithm Kyber and the similar lattice-based Saber, FrodoKEM and NTRU Prime, as well as SIKE. We also present how to realize a sufficiently reliable MV-PC oracle from NN model outputs that are not 100% accurate, and analyze the tradeoff between the key recovery success rate and the number of attack traces. We assess the feasibility of the proposed attack through attack experiments on three typical symmetric primitives to instantiate a random oracle (SHAKE, SHA3, and AES software). The proposed attack reduces the number of attack traces required for a reliable key recovery by up to 87% compared to the existing attacks against Kyber and other lattice-based KEMs, under the condition of 99.9999% success rate for key recovery. The proposed attack can also reduce the number of attack traces by 85% for SIKE