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RankSign [GRSZ14a] is a code-based signature scheme proposed to the NIST competition for quantum-safe cryptography [AGHRZ17] and, moreover, is a fundamental building block of a new Identity-Based-Encryption (IBE) [GHPT17a]. This signature…

Cryptography and Security · Computer Science 2018-06-08 Thomas Debris-Alazard , Jean-Pierre Tillich

We approach the Max-3-Cut problem through the lens of maximizing complex-valued quadratic forms and demonstrate that low-rank structure in the objective matrix can be exploited, leading to alternative algorithms to classical semidefinite…

Data Structures and Algorithms · Computer Science 2026-04-27 Ria Stevens , Fangshuo Liao , Barbara Su , Jianqiang Li , Anastasios Kyrillidis

The public key cryptosystem based on rank error correcting codes (the GPT cryptosystem) was proposed in 1991. Use of rank codes in cryptographic applications is advantageous since it is practically impossible to utilize combinatoric…

Cryptography and Security · Computer Science 2016-11-17 Ernst M. Gabidulin , Haitham Rashwan , Bahram Honary

The LG cryptosystem is a public-key encryption scheme in the rank metric using the recent family of $\lambdav-$Gabidulin codes and introduced in 2019 by Lau and Tan. In this paper, we present a cryptanalysis showing that the security of…

Cryptography and Security · Computer Science 2024-11-15 Étienne Burle , Hervé Talé Kalachi , Freddy Lende Metouke , Ayoub Otmani

Lo and Ko in [1] have developed some attacks on the cryptosystem called AlphaEta [2], claiming that these attacks undermine the security of AlphaEta for both direct encryption and key generation. In this paper, we show that their arguments…

Quantum Physics · Physics 2017-12-14 Horace P. Yuen , Ranjith Nair , Eric Corndorf , Gregory S. Kanter , Prem Kumar

This article discusses the security of McEliece-like encryption schemes using subspace subcodes of Reed-Solomon codes, i.e. subcodes of Reed-Solomon codes over $\mathbb{F}_{q^m}$ whose entries lie in a fixed collection of…

Cryptography and Security · Computer Science 2021-10-11 Alain Couvreur , Matthieu Lequesne

Asymptotically good sequences of ramp secret sharing schemes were given in [Asymptotically good ramp secret sharing schemes, arXiv:1502.05507] by using one-point algebraic geometric codes defined from asymptotically good towers of function…

Information Theory · Computer Science 2015-11-20 Olav Geil , Stefano Martin , Umberto Martínez-Peñas , Diego Ruano

In this paper we provide a large family of rank-metric codes, which contains properly the codes recently found by Longobardi and Zanella (2021) and by Longobardi, Marino, Trombetti and Zhou (2021). These codes are…

Information Theory · Computer Science 2021-04-16 Alessandro Neri , Paolo Santonastaso , Ferdinando Zullo

We study algorithms called rank-revealers that reveal a matrix's rank structure. Such algorithms form a fundamental component in matrix compression, singular value estimation, and column subset selection problems. While column-pivoted QR…

Numerical Analysis · Mathematics 2024-06-04 Anil Damle , Silke Glas , Alex Townsend , Annan Yu

In this paper, we have proposed a public key cryptography using recursive block matrices involving generalized Fibonacci numbers over a finite field Fp. For this, we define multinacci block matrices, a type of upper triangular matrix…

Cryptography and Security · Computer Science 2022-04-20 Munesh Kumari , Jagmohan Tanti

Coding in the projective space has received recently a lot of attention due to its application in network coding. Reduced row echelon form of the linear subspaces and Ferrers diagram can play a key role for solving coding problems in the…

Information Theory · Computer Science 2009-03-14 Tuvi Etzion , Natalia Silberstein

Many quantum key distribution (QKD) schemes are based on sending and measuring qubits -- two-dimensional quantum systems. Yet, in practical realizations and experiments, the measuring devices at the receiver's (Bob) site commonly do not…

Quantum Physics · Physics 2016-05-23 Ran Gelles , Tal Mor

In this paper, we survey the status of attacks on the ring and polynomial learning with errors problems (RLWE and PLWE). Recent work on the security of these problems [Eisentr\"ager-Hallgren-Lauter, Elias-Lauter-Ozman-Stange] gives rise to…

Number Theory · Mathematics 2015-09-24 Yara Elias , Kristin E. Lauter , Ekin Ozman , Katherine E. Stange

In this paper we study recent reaction attacks against QC-LDPC and QC-MDPC code-based cryptosystems, which allow an opponent to recover the private parity-check matrix through its distance spectrum by observing a sufficiently high number of…

Information Theory · Computer Science 2018-05-15 Paolo Santini , Marco Baldi , Giovanni Cancellieri , Franco Chiaraluce

Deep Neural Network (DNN) classifiers are vulnerable to adversarial attack, where an imperceptible perturbation could result in misclassification. However, the vulnerability of DNN-based image ranking systems remains under-explored. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Mo Zhou , Zhenxing Niu , Le Wang , Qilin Zhang , Gang Hua

Kernelization algorithms in the context of Parameterized Complexity are often based on a combination of reduction rules and combinatorial insights. We will expose in this paper a similar strategy for obtaining polynomial-time approximation…

Data Structures and Algorithms · Computer Science 2014-09-15 Faisal N. Abu-Khzam , Cristina Bazgan , Morgan Chopin , Henning Fernau

Hyperdimensional Computing (HDC) is facing infringement issues due to straightforward computations. This work, for the first time, raises a critical vulnerability of HDC, an attacker can reverse engineer the entire model, only requiring the…

Cryptography and Security · Computer Science 2022-03-21 Shijin Duan , Shaolei Ren , Xiaolin Xu

This work presents some novel techniques to enhance an encryption scheme motivated by classical McEliece cryptosystem. Contributions include: (1) using masking matrices to hide sensitive data, (2) allowing both legitimate parties to…

Cryptography and Security · Computer Science 2024-01-30 Amir K. Khandani

Person re-identification (re-ID) has attracted much attention recently due to its great importance in video surveillance. In general, distance metrics used to identify two person images are expected to be robust under various appearance…

Computer Vision and Pattern Recognition · Computer Science 2020-10-13 Song Bai , Yingwei Li , Yuyin Zhou , Qizhu Li , Philip H. S. Torr

Rank-metric codes have been a central topic in coding theory due to their theoretical and practical significance, with applications in network coding, distributed storage, crisscross error correction, and post-quantum cryptography. Recent…

Information Theory · Computer Science 2025-10-08 Valentina Astore , Martino Borello , Marco Calderini , Flavio Salizzoni
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