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We solve an open question in code-based cryptography by introducing two provably secure group signature schemes from code-based assumptions. Our basic scheme satisfies the CPA-anonymity and traceability requirements in the random oracle…

Cryptography and Security · Computer Science 2020-02-19 Martianus Frederic Ezerman , Hyung Tae Lee , San Ling , Khoa Nguyen , Huaxiong Wang

In this paper we report on the results of selected horizontal SCA attacks against two open-source designs that implement hardware accelerators for elliptic curve cryptography. Both designs use the complete addition formula to make the point…

Cryptography and Security · Computer Science 2022-01-05 Ievgen Kabin , Zoya Dyka , Dan Klann , Nele Mentens , Lejla Batina , Peter Langendoerfer

In symmetric cryptanalysis, the model of superposition queries has led to surprising results, with many constructions being broken in polynomial time thanks to Simon's period-finding algorithm. But the practical implications of these…

A recent paper by Coggia and Couvreur presents a polynomial time key-recovery attack on Loidreau's encryption scheme, based on rank-metric codes, for some parameters. The secret matrix component of Loidreau's scheme is chosen over a…

Information Theory · Computer Science 2021-11-29 Anirban Ghatak

Quantum error correction is rapidly seeing first experimental implementations, but there is a significant gap between asymptotically optimal error-correcting codes and codes that are experimentally feasible. Quantum LDPC codes range from…

To make cryptographic processors more resilient against side-channel attacks, engineers have developed various countermeasures. However, the effectiveness of these countermeasures is often uncertain, as it depends on the complex interplay…

Cryptography and Security · Computer Science 2024-04-29 Elie Bursztein , Luca Invernizzi , Karel Král , Daniel Moghimi , Jean-Michel Picod , Marina Zhang

We study entanglement-assisted quantum error-correcting codes (EAQECCs) arising from classical one-point algebraic geometry codes from the Hermitian curve with respect to the Hermitian inner product. Their only unknown parameter is $c$, the…

Information Theory · Computer Science 2022-01-12 René Bødker Christensen , Carlos Munuera , Francisco Revson F. Pereira , Diego Ruano

Polynomial based approaches, such as the Mat-Dot and entangled polynomial codes (EPC) have been used extensively within coded matrix computations to obtain schemes with good recovery thresholds. However, these schemes are well-recognized to…

Information Theory · Computer Science 2023-05-11 Kyungrak Son , Aditya Ramamoorthy

Scalar multiplication kP is the operation most frequently targeted in Elliptic Curve (EC) cryptosystems. To protect against single-trace Side-Channel Analysis (SCA) attacks, the atomicity principle and various atomic block patterns have…

Cryptography and Security · Computer Science 2026-04-27 Gerald Isheanesu Matungamire , Alkistis Aikaterini Sigourou , Gerrit Schrock , Zoya Dyka , Peter Langendoerfer , Ievgen Kabin

Fast encoding and decoding of codes have been always an important topic in code theory as well as complexity theory. Although encoding is easier than decoding in general, designing an encoding algorithm of codes of length $N$ with…

Computational Complexity · Computer Science 2024-07-08 Songsong Li , Shu Liu , Liming Ma , Yunqi Wan , Chaoping Xing

Because of their interesting algebraic properties, several authors promote the use of generalized Reed-Solomon codes in cryptography. Niederreiter was the first to suggest an instantiation of his cryptosystem with them but Sidelnikov and…

Cryptography and Security · Computer Science 2014-03-31 Alain Couvreur , Philippe Gaborit , Valérie Gauthier-Umaña , Ayoub Otmani , Jean-Pierre Tillich

New near-capacity continuous-variable quantum key distribution (CV-QKD) reconciliation schemes are proposed, where both the authenticated classical channel (ClC) and the quantum channel (QuC) for QKD are protected by separate forward error…

Quantum Physics · Physics 2024-03-26 Xin Liu , Chao Xu , Yasir Noori , Soon Xin Ng , Lajos Hanzo

Fault injection attacks are a potent threat against embedded implementations of neural network models. Several attack vectors have been proposed, such as misclassification, model extraction, and trojan/backdoor planting. Most of these…

Cryptography and Security · Computer Science 2024-06-04 Patrik Velčický , Jakub Breier , Mladen Kovačević , Xiaolu Hou

The Code Equivalence problem is that of determining whether two given linear codes are equivalent to each other up to a permutation of the coordinates. This problem has a direct reduction to a nonabelian hidden subgroup problem (HSP),…

Computational Complexity · Computer Science 2011-11-21 Hang Dinh , Cristopher Moore , Alexander Russell

The survey presents the evolution of Short Weierstrass elliptic curves after their introduction in cryptography. Subsequently, this evolution resulted in the establishment of present elliptic curve computational standards. We discuss the…

Cryptography and Security · Computer Science 2022-08-04 Kunal Abhishek , E. George Dharma Prakash Raj

In this work, we exploit a serious security flaw in a code-based signature scheme from a 2019 work by Liu, Yang, Han and Wang. They adapt the McEliece cryptosystem to obtain a new scheme and, on top of this, they design an efficient digital…

Cryptography and Security · Computer Science 2024-02-07 Giuseppe D'Alconzo

One of the major issues of cryptography is the cryptanalysis of cipher algorithms. Cryptanalysis is the study of methods for obtaining the meaning of encrypted information, without access to the secret information that is normally required.…

Cryptography and Security · Computer Science 2016-09-14 Michel Dubois , Eric Filiol

Recent work on approximate quantum error correction (QEC) has opened up the possibility of constructing subspace codes that protect information with high fidelity in scenarios where perfect error correction is impossible. Motivated by this,…

Quantum Physics · Physics 2012-07-31 Prabha Mandayam , Hui Khoon Ng

We consider linear codes over a field in which the error values are restricted to a subgroup of its unit group. This scenario captures Lee distance codes as well as codes over the Gaussian or Eisenstein integers. Codes correcting restricted…

Information Theory · Computer Science 2026-01-21 Jens Zumbrägel

Wiener's attack is a well-known polynomial-time attack on a RSA cryptosystem with small secret decryption exponent d, which works if d<n^{0.25}, where n=pq is the modulus of the cryptosystem. Namely, in that case, d is the denominator of…

Cryptography and Security · Computer Science 2021-08-30 Andrej Dujella