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The Feistel scheme is an important structure in the block ciphers. The security of the Feistel scheme is related to distinguishability with a random permutation. In this paper, efficient quantum algorithms for distinguishing classical…

量子物理 · 物理学 2017-02-28 Hong Wang , Zhi Ma

The Feistel construction is a fundamental technique for building pseudorandom permutations and block ciphers. This paper shows that a simple adaptation of the construction is resistant, even to algorithm substitution attacks -- that is,…

密码学与安全 · 计算机科学 2024-04-16 Alexander Russell , Qiang Tang , Jiadong Zhu

We consider the cryptographic problem of constructing an invertible random permutation from a public random function (i.e., which can be accessed by the adversary). This goal is formalized by the notion of indifferentiability of Maurer et…

密码学与安全 · 计算机科学 2011-06-02 Thomas Holenstein , Robin Künzler , Stefano Tessaro

In a functional encryption (FE) scheme, a user that holds a ciphertext and a function key can learn the result of applying the function to the plaintext message. Security requires that the user does not learn anything beyond the function…

量子物理 · 物理学 2025-03-18 Arthur Mehta , Anne Müller

A block cipher is a bijective function that transforms a plaintext to a ciphertext. A block cipher is a principle component in a cryptosystem because the security of a cryptosystem depends on the security of a block cipher. A Feistel…

密码学与安全 · 计算机科学 2017-03-27 Kwangsu Lee

In modern cryptography, block encryption is a fundamental cryptographic primitive. However, it is impossible for block encryption to achieve the same security as one-time pad. Quantum mechanics has changed the modern cryptography, and lots…

密码学与安全 · 计算机科学 2018-12-17 Min Liang , Li Yang

In this paper, we study applications of Bernstein-Vazirani algorithm and present several new methods to attack block ciphers. Specifically, we first present a quantum algorithm for finding the linear structures of a function. Based on it,…

量子物理 · 物理学 2018-07-17 Huiqin Xie , Li Yang

With the advancement of quantum computing, symmetric cryptography faces new challenges from quantum attacks. These attacks are typically classified into two models: Q1 (classical queries) and Q2 (quantum superposition queries). In this…

量子物理 · 物理学 2025-08-04 Yan-Ying Zhu , Bin-Bin Cai , Fei Gao , Song Lin

Quantum fully homomorphic encryption (QFHE) allows to evaluate quantum circuits on encrypted data. We present a novel QFHE scheme, which extends Pauli one-time pad encryption by relying on the quaternion representation of SU(2). With the…

量子物理 · 物理学 2022-12-07 Guangsheng Ma , Hongbo Li

Quantum encryption is a well studied problem for both classical and quantum information. However, little is known about quantum encryption schemes which enable the user, under different keys, to learn different functions of the plaintext,…

密码学与安全 · 计算机科学 2017-03-02 Aditya Ahuja

Functional encryption is a powerful cryptographic primitive that enables fine-grained access to encrypted data and underlies numerous applications. Although the ideal security notion for FE (simulation security) has been shown to be…

密码学与安全 · 计算机科学 2026-01-27 Mohammed Barhoush , Arthur Mehta , Anne Müller , Louis Salvail

Quantum computers provide a super-exponential speedup for performing a Fourier transform over the symmetric group, an ability for which practical use cases have remained elusive so far. In this work, we leverage this ability to unlock…

量子物理 · 物理学 2026-03-25 Vasilis Belis , Giulio Crognaletti , Matteo Argenton , Michele Grossi , Maria Schuld

In this paper, we propose a novel construction for a symmetric encryption scheme, referred as SEBQ which is based on the structure of quasigroup. We utilize concepts of chaining like mode of operation and present a block cipher with…

密码学与安全 · 计算机科学 2024-08-09 Satish Kumar , Harshdeep Singh , Indivar Gupta , Ashok Ji Gupta

Quantum key distribution (QKD) protocols are proven secure based on fundamental physical laws, however, the proofs consider a well-defined setting and encoding of the sent quantum signals only. Side channels, where the encoded quantum state…

Round functions used as building blocks for iterated block ciphers, both in the case of Substitution-Permutation Networks and Feistel Networks, are often obtained as the composition of different layers which provide confusion and diffusion,…

The quantum Fourier transform (QFT) has emerged as the primary tool in quantum algorithms which achieve exponential advantage over classical computation and lies at the heart of the solution to the abelian hidden subgroup problem, of which…

量子物理 · 物理学 2007-05-23 Lisa R. Hales

Quantum cryptanalysis is essential for evaluating the security of cryptographic systems against the threat of quantum computing. Recently, Shi {\it et al.} introduced a dedicated quantum attack on block cipher constructions based on…

量子物理 · 物理学 2025-11-17 Xiao-Fan Zhen , Zhen-Qiang Li , Jia-Cheng Fan , Su-Juan Qin , Fei Gao

Recent results of Kaplan et al., building on previous work by Kuwakado and Morii, have shown that a wide variety of classically-secure symmetric-key cryptosystems can be completely broken by quantum chosen-plaintext attacks (qCPA). In such…

量子物理 · 物理学 2017-10-11 Gorjan Alagic , Alexander Russell

Inspired by Hosoyamada et al.'s work [14], we propose a new quantum meet-in-the-middle (QMITM) attack on $r$-round ($r \ge 7$) Feistel construction to reduce the time complexity. Similar to Hosoyamada et al.'s work, our attack on 7-round…

量子物理 · 物理学 2022-04-19 Yinsong Xu , Zheng Yuan

We construct a (compact) quantum fully homomorphic encryption (QFHE) scheme starting from (compact) classical fully homomorphic encryption scheme with decryption in $\mathsf{NC}^{1}$, together with a dual-mode trapdoor function family.…

量子物理 · 物理学 2024-06-06 Aparna Gupte , Vinod Vaikuntanathan
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