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We propose a definition for the information theoretic security of a quantum public-key encryption scheme, and present bit-oriented and two-bit-oriented encryption schemes satisfying our security definition via the introduction of a new…

Quantum Physics · Physics 2015-03-17 Jiangyou Pan , Li Yang

An ideal secret sharing scheme is a method of sharing a secret key in some key space among a finite set of participants in such a way that only the authorized subsets of participants can reconstruct the secret key from their shares which…

Combinatorics · Mathematics 2023-04-19 Ryoh Fuji-Hara , Ying Miao

In $(t, n)$-threshold secret sharing, a secret $S$ is distributed among $n$ participants such that any subset of size $t$ can recover $S$, while any subset of size $t-1$ or fewer learns nothing about it. For information-theoretic secret…

Information Theory · Computer Science 2025-06-23 Igor L. Aureliano , Alejandro Cohen , Rafael G. L. D'Oliveira

Quantum communication is an important application that derives from the burgeoning field of quantum information and quantum computation. Focusing on secure communication, quantum cryptography has two major directions of development, namely…

Quantum Physics · Physics 2021-08-31 Junxu Li , Zixuan Hu , Sabre Kais

In this paper, a generalization of the traditional point-to-point to communication setup, which is named as "reliable communications with asymmetric codebooks", is proposed. Under the assumption of independent identically distributed…

Information Theory · Computer Science 2008-09-12 Yucel Altug , M. Kivanc Mihcak , Onur Ozyesil , Vishal Monga

The secure multiplex coding (SMC) is a technique to remove rate loss in the coding for wire-tap channels and broadcast channels with confidential messages caused by the inclusion of random bits into transmitted signals. SMC replaces the…

Information Theory · Computer Science 2016-09-28 Masahito Hayashi , Ryutaroh Matsumoto

The ability to hide information from unauthorized individuals has been a prevalent issue over the years. Countless algorithms such as DES, AES and SHA have been developed. These algorithms depend on varying key length and key management…

Cryptography and Security · Computer Science 2012-09-14 Samuel King Opoku

We show that many known schemes of the public key exchange protocols in the algebraic cryptography, that use two-sided multiplications, are the specific cases of the general scheme of such type. In most cases, such schemes are built on…

Group Theory · Mathematics 2017-09-20 V. A. Roman'kov

By analogy to classical cryptography, we develop a "quantum public key" based cryptographic scheme in which the two public and private keys consist in each of two entangled beams of squeezed light. An analog message is encrypted by…

Quantum Physics · Physics 2007-05-23 Patrick Navez , Alessandra Gatti , Luigi A. Lugiato

We discuss special quantum group (secret) symmetries of the integrable system associated to the AdS/CFT correspondence. These symmetries have by now been observed in a variety of forms, including the spectral problem, the boundary…

High Energy Physics - Theory · Physics 2015-06-04 Marius de Leeuw , Takuya Matsumoto , Sanefumi Moriyama , Vidas Regelskis , Alessandro Torrielli

Differential phase shift keying (DPSK) constitutes a pathway towards practical quantum key distribution by using affordable commercial technologies, and robust theoretical foundations. Recent advances in the security of DPSK have proven its…

Quantum Physics · Physics 2026-05-08 Carlos Pascual-García

Cloud-based and distributed computations are of growing interest in modern control systems. However, these technologies require performing computations on not necessarily trustworthy platforms and, thus, put the confidentiality of sensitive…

Cryptography and Security · Computer Science 2023-04-14 Nils Schlüter , Philipp Binfet , Moritz Schulze Darup

I present a variety of results on the theory of quantum secret sharing. I show that any mixed state quantum secret sharing scheme can be derived by discarding a share from a pure state scheme, and that the size of each share in a quantum…

Quantum Physics · Physics 2009-10-31 Daniel Gottesman

Affine Cartesian codes are defined by evaluating multivariate polynomials at a cartesian product of finite subsets of a finite field. In this work we examine properties of these codes as batch codes. We consider the recovery sets to be…

Information Theory · Computer Science 2020-05-18 Travis Baumbaugh , Haley Colgate , Timothy Jackman , Felice Manganiello

Symmetric encryption has been a standout amongst the most reliable option by which security is accomplished. In modern block symmetric ciphers, the substitution-boxes have been playing a critical role of nonlinear components that drives the…

Cryptography and Security · Computer Science 2017-04-18 Musheer Ahmad , Nikhil Mittal , Prerit Garg , Manaff Mahtab Khan

In this paper, we propose a session based bit level symmetric key cryptographic technique and it is termed as Spiral Matrix Based Bit Orientation Technique (SMBBOT). SMBBOT consider the input plain text as binary bit stream. During…

Cryptography and Security · Computer Science 2013-05-06 Manas Paul , Jyotsna Kumar Mandal

Nowadays, using cryptographic systems play an effective role in security and safety technologies. One of the most applied kind of cryptography is Symmetric Cryptography and its applications. New aspects of symmetric Cryptography…

Cryptography and Security · Computer Science 2009-12-08 Amin Daneshmand Malayeri , Jalal Abdollahi

P vs NP problem is the most important unresolved problem in the field of computational complexity. Its impact has penetrated into all aspects of algorithm design, especially in the field of cryptography. The security of cryptographic…

Computational Complexity · Computer Science 2026-05-01 Gao Ming

This paper considers the problem of simultaneously communicating two messages, a high-security message and a low-security message, to a legitimate receiver, referred to as the security embedding problem. An information-theoretic formulation…

Information Theory · Computer Science 2011-02-09 Hung D. Ly , Tie Liu , Yufei Blankenship

Quantum cryptography exploits principles of quantum physics for the secure processing of information. A prominent example is secure communication, i.e., the task of transmitting confidential messages from one location to another. The…

Quantum Physics · Physics 2022-07-13 Christopher Portmann , Renato Renner