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It is well known that Shor's quantum algorithm for integer factorization can break down the RSA public-key cryptosystem, which is widely used in many cryptographic applications. Thus, public-key cryptosystems in the quantum computational…

Quantum Physics · Physics 2007-05-23 Takeshi Koshiba

We revisit Nisan's classical pseudorandom generator (PRG) for space-bounded computation (STOC 1990) and its applications in streaming algorithms. We describe a new generator, HashPRG, that can be thought of as a symmetric version of Nisan's…

Data Structures and Algorithms · Computer Science 2024-01-05 Praneeth Kacham , Rasmus Pagh , Mikkel Thorup , David P. Woodruff

The security of RSA algorithm depends upon the positive integer N, which is the multiple of two precise large prime numbers. Factorization of such great numbers is a problematic process. There are many algorithms has been implemented in the…

Cryptography and Security · Computer Science 2015-01-13 Nidhi Lal , Anurag Prakash Singh , Shishupal Kumar

Pseudorandom generators (PRGs) are a foundational primitive in classical cryptography, underpinning a wide range of constructions. In the quantum setting, pseudorandom quantum states (PRSs) were proposed as a potentially weaker assumption…

Cryptography and Security · Computer Science 2025-11-14 Mohammed Barhoush

In this paper we present an attack on a recently proposed code-based Private Information Retrieval (PIR) scheme. Indeed, the server can retrieve the index of the desired file with high probability in polynomial time. The attack relies on…

Cryptography and Security · Computer Science 2026-03-30 Luana Kurmann , Svenja Lage , Violetta Weger

Quantum computing poses a threat to contemporary cryptosystems, with advances to a state in which it will cause problems predicted for the next few decades. Many of the proposed cryptosystems designed to be quantum-secure are based on the…

Quantum Physics · Physics 2025-01-22 Edmund Dable-Heath , Laura Casas , Victor Hertz , Christian Porter , Florian Mintert , Cong Ling

The process of data mining with differential privacy produces results that are affected by two types of noise: sampling noise due to data collection and privacy noise that is designed to prevent the reconstruction of sensitive information.…

Machine Learning · Computer Science 2018-04-12 Yue Wang , Daniel Kifer , Jaewoo Lee

We develop a scalable algorithm to learn binary hash codes for indexing large-scale datasets. Near-isometric binary hashing (NIBH) is a data-dependent hashing scheme that quantizes the output of a learned low-dimensional embedding to obtain…

Data Structures and Algorithms · Computer Science 2016-03-15 Amirali Aghazadeh , Andrew Lan , Anshumali Shrivastava , Richard Baraniuk

The fundamental security and efficiency considerations for fresh key generation will be described. It is shown that the attacker's optimal probability of finding the generated key is an indispensable measure of security and that this…

Quantum Physics · Physics 2016-11-15 Horace P. Yuen

Quantum cryptography is going to find practically useful applications. Recently some first quantum cryptographic solutions became available on the market. For clients it is important to be able to compare the quality and properties of the…

Quantum Physics · Physics 2013-04-24 A. S. Trushechkin , I. V. Volovich

Low-rank representation~(LRR) has been a significant method for segmenting data that are generated from a union of subspaces. It is, however, known that solving the LRR program is challenging in terms of time complexity and memory…

Machine Learning · Statistics 2017-10-24 Jie Shen , Ping Li , Huan Xu

We compare three proof techniques for composable finite-size security of quantum key distribution under collective attacks, with emphasis on how the resulting secret-key rates behave at practically relevant block lengths. As a benchmark, we…

Quantum Physics · Physics 2026-01-08 Gabriele Staffieri , Giovanni Scala , Cosmo Lupo

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

Suppose we have n keys, n access probabilities for the keys, and n+1 access probabilities for the gaps between the keys. Let h_min(n) be the minimal height of a binary search tree for n keys. We consider the problem to construct an optimal…

Data Structures and Algorithms · Computer Science 2010-11-08 Peter Becker

Pseudorandom bit generators (PRBG) can be designed to take the advantage of some hard number theoretic problems such as the discrete logarithm problem (DLP). Such type of generators will have good randomness and unpredictability properties…

Cryptography and Security · Computer Science 2020-02-24 O. Reyad , M. E. Karar , K. Hamed

The use of codes defined by sparse characteristic matrices, like QC-LDPC and QC-MDPC codes, has become an established solution to design secure and efficient code-based public-key encryption schemes, as also witnessed by the ongoing NIST…

Cryptography and Security · Computer Science 2022-05-26 Marco Baldi , Franco Chiaraluce , Paolo Santini

With the rapid evolution of the Industrial Internet of Things (IIoT), the boundaries and scale of the Internet are continuously expanding. Consequently, the limitations of traditional certificate-based Public Key Infrastructure (PKI) have…

Cryptography and Security · Computer Science 2026-03-27 Penghui Liu , Yi Niu , Xiaoxiong Zhong , Jiahui Wu , Weizhe Zhang , Kaiping Xue , Bin Xiao

In August 2015 the cryptographic world was shaken by a sudden and surprising announcement by the US National Security Agency NSA concerning plans to transition to post-quantum algorithms. Since this announcement post-quantum cryptography…

Cryptography and Security · Computer Science 2017-12-21 Jean-Charles Faug`ere , Kelsey Horan , Delaram Kahrobaei , Marc Kaplan , Elham Kashefi , Ludovic Perret

Lattice based encryption schemes and linear code based encryption schemes have received extensive attention in recent years since they have been considered as post-quantum candidate encryption schemes. Though LLL reduction algorithm has…

Cryptography and Security · Computer Science 2015-12-29 Yongge Wang

The rapid advancement of quantum computing poses a critical threat to classical cryptographic algorithms such as RSA and ECC, particularly in Internet of Things (IoT) devices, where secure communication is essential but often constrained by…

Cryptography and Security · Computer Science 2025-07-14 Jesus Lopez , Viviana Cadena , Mohammad Saidur Rahman