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We introduce a computational problem of distinguishing between two specific quantum states as a new cryptographic problem to design a quantum cryptographic scheme that is "secure" against any polynomial-time quantum adversary. Our problem,…

Quantum Physics · Physics 2016-05-25 Akinori Kawachi , Takeshi Koshiba , Harumichi Nishimura , Tomoyuki Yamakami

In this paper, we introduce a new way of constructing and decoding multipermutation codes. Multipermutations are permutations of a multiset that generally consist of duplicate entries. We first introduce a class of binary matrices called…

Information Theory · Computer Science 2015-07-29 Xishuo Liu , Stark C. Draper

It is a long standing open problem to find search to decision reductions for structured versions of the decoding problem of linear codes. Such results in the lattice-based setting have been carried out using number fields: Polynomial-LWE,…

Cryptography and Security · Computer Science 2022-03-01 Maxime Bombar , Alain Couvreur , Thomas Debris-Alazard

In the digital era, accidental exposure of sensitive information such as API keys, tokens, and credentials is a growing security threat. While most prior work focuses on detecting secrets in source code, leakage in software issue reports…

Software Engineering · Computer Science 2026-04-17 Sadif Ahmed , Md Nafiu Rahman , Zahin Wahab , Gias Uddin , Rifat Shahriyar

We revisit the 3-pass code-based identification scheme proposed by Stern at Crypto'93, and give a new 5-pass protocol for which the probability of the cheater is 1/2 (instead of 2/3 in the original Stern's proposal). Furthermore, we propose…

Cryptography and Security · Computer Science 2010-01-19 Pierre-Louis Cayrel , Pascal Veron

Modern information communications use cryptography to keep the contents of communications confidential. RSA (Rivest-Shamir-Adleman) cryptography and elliptic curve cryptography, which are public-key cryptosystems, are widely used…

Cryptography and Security · Computer Science 2023-10-09 Yuri Lucas Direbieski , Hiroki Tanioka , Kenji Matsuura , Hironori Takeuchi , Masahiko Sano , Tetsushi Ueta

Learning with Errors (LWE) problems are the foundations for numerous applications in lattice-based cryptography and are provably as hard as approximate lattice problems in the worst case. Here we present a reduction from LWE problem to…

Quantum Physics · Physics 2013-06-05 Fada Li , Wansu Bao , Xiangqun Fu , Yuchao Zhang , Tan Li

This article describes a post-quantum multirecipient symmetric cryptosystem whose security is based on the hardness of the LWE problem. In this scheme a single sender encrypts multiple messages for multiple recipients generating a single…

Cryptography and Security · Computer Science 2025-06-09 Saikat Gope , Srinivasan Krishnaswamy , Chayan Bhawal

Large language models have gained widespread attention recently, but their potential security vulnerabilities, especially privacy leakage, are also becoming apparent. To test and evaluate for data extraction risks in LLM, we proposed…

Cryptography and Security · Computer Science 2026-01-23 Zhuochen Yang , Kar Wai Fok , Vrizlynn L. L. Thing

In 1994, P. Shor discovered quantum algorithms which can break both the RSA cryptosystem and the ElGamal cryptosystem. In 2007, D-Wave demonstrated the first quantum computer. These events and further developments have brought a crisis to…

Metric Geometry · Mathematics 2025-07-01 Chuanming Zong

Multi-Key Homomorphic Encryption (MKHE), proposed by Lopez-Alt et al. (STOC 2012), allows for performing arithmetic computations directly on ciphertexts encrypted under distinct keys. Subsequent works by Chen and Dai et al. (CCS 2019) and…

Cryptography and Security · Computer Science 2025-10-24 Jiahui Wu , Tiecheng Sun , Fucai Luo , Haiyan Wang , Weizhe Zhang

In 2009, Gentry proposed the first Fully Homomorphic Encryption (FHE) scheme, an extremely powerful cryptographic primitive that enables to perform computations, i.e., to evaluate circuits, on encrypted data without decrypting them first.…

Data Structures and Algorithms · Computer Science 2016-08-17 Fabrice Benhamouda , Tancrède Lepoint , Claire Mathieu , Hang Zhou

This paper shows the benefits and fruitfulness of evaluating LLMs with multiple problems at once, a paradigm we call multi-problem evaluation (MPE). Unlike conventional single-problem evaluation, where a prompt presents a single problem and…

Artificial Intelligence · Computer Science 2025-06-24 Zhengxiang Wang , Jordan Kodner , Owen Rambow

In recent years, distributed machine learning has garnered significant attention. However, privacy continues to be an unresolved issue within this field. Multi-key homomorphic encryption over torus (MKTFHE) is one of the promising…

Cryptography and Security · Computer Science 2024-03-20 Hongxiao Wang , Zoe L. Jiang , Yanmin Zhao , Siu-Ming Yiu , Peng Yang , Man Chen , Zejiu Tan , Bohan Jin

We consider an application to the discrete log problem using completely regular semigroups which may provide a more secure symmetric cryptosystem than the classic system based on groups. In particular we describe a scheme that would appear…

Group Theory · Mathematics 2019-02-18 James Renshaw

With the advent of functional encryption, new possibilities for computation on encrypted data have arisen. Functional Encryption enables data owners to grant third-party access to perform specified computations without disclosing their…

Cryptography and Security · Computer Science 2024-01-19 Prajwal Panzade , Daniel Takabi

This paper presents algorithms for local inversion of maps and shows how several important computational problems such as cryptanalysis of symmetric encryption algorithms, RSA algorithm and solving the elliptic curve discrete log problem…

Cryptography and Security · Computer Science 2022-03-08 Virendra Sule

Secure key leasing (a.k.a. key-revocable cryptography) enables us to lease a cryptographic key as a quantum state in such a way that the key can be later revoked in a verifiable manner. We propose a simple framework for constructing…

Quantum Physics · Physics 2025-05-30 Fuyuki Kitagawa , Tomoyuki Morimae , Takashi Yamakawa

Among many submissions to the NIST post-quantum cryptography (PQC) project, NewHope is a promising key encapsulation mechanism (KEM) based on the Ring-Learning with errors (Ring-LWE) problem. Since NewHope is an indistinguishability…

Cryptography and Security · Computer Science 2020-03-09 Minki Song , Seunghwan Lee , Eunsang Lee , Dong-Joon Shin , Young-Sik Kim , Jong-Seon No

We define two new problems called SIAP and CAP related to solving SIVP and CVP in a subset of lattices called Simultaneous Approximation (SA) lattices. We give dimension- and gap-preserving, deterministic polynomial-time and space…

Number Theory · Mathematics 2026-02-27 Julia VanLandingham