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In this paper, we consider the case that sharing many secrets among a set of participants using the threshold schemes. All secrets are assumed to be statistically independent and the weak secure condition is focused on. Under such…

Information Theory · Computer Science 2023-12-12 Jiahong Wu , Nan Liu , Wei Kang

This paper presents a recursive computational multi-secret sharing technique that hides k-2 secrets of size b each into n shares of a single secret S of size b, such that any k of the n shares suffice to recreate the secret S as well as all…

Cryptography and Security · Computer Science 2010-01-20 Abhishek Parakh , Subhash Kak

We study the arithmetic circuit complexity of threshold secret sharing schemes by characterizing the graph-theoretic properties of arithmetic circuits that compute the shares. Using information inequalities, we prove that any unrestricted…

Computational Complexity · Computer Science 2026-03-02 Yuan Li

We investigate sets of Mutually Orthogonal Latin Squares (MOLS) generated by Cellular Automata (CA) over finite fields. After introducing how a CA defined by a bipermutive local rule of diameter $d$ over an alphabet of $q$ elements…

Discrete Mathematics · Computer Science 2019-11-01 Luca Mariot , Maximilien Gadouleau , Enrico Formenti , Alberto Leporati

Quantum secret sharing (QSS) is the result of merging the principles of quantum mechanics with secret information sharing. It enables a sender to share a secret among receivers, and the receivers can then collectively recover the secret…

Quantum Physics · Physics 2024-02-06 Guo-Dong Li , Wen-Chuan Cheng , Qing-Le Wang , Long Cheng , Ying Mao , Heng-Yue Jia

We generalize secret-sharing models that rely on correlated randomness and public communication, originally designed for a fixed access structure, to support a sequence of dynamic access structures, which we term an Additive Access…

Information Theory · Computer Science 2026-01-15 David Miller , Rémi A. Chou

Quantum secret sharing (QSS) is an important branch of secure multiparty quantum computation. Several schemes for $(n, n)$ threshold QSS based on quantum Fourier transformation (QFT) have been proposed. Inspired by the flexibility of $(t,…

Quantum Physics · Physics 2020-10-16 Sarbani Roy , Sourav Mukhopadhyay

Number-conserving cellular automata are discrete dynamical systems that simulate interacting particles like e.g. grains of sand. In an earlier paper, I had already derived a uniform construction for all transition rules of one-dimensional…

Cellular Automata and Lattice Gases · Physics 2025-06-02 Markus Redeker

Traditional threshold secret sharing cannot realizing all access structures of secret sharing. So, Ito introduced the concept of Secret sharing scheme realizing general access structure. But Its scheme has to send multiple shares to each…

Cryptography and Security · Computer Science 2022-09-09 Yang Xie , Sijjad Ali Khuhro , Fuyou Miao , Keju Meng

Reversible data hiding in encrypted domain (RDH-ED) schemes based on symmetric or public key encryption are mainly applied to the security of end-to-end communication. Aimed at providing reliable technical supports for multi-party security…

Cryptography and Security · Computer Science 2020-10-19 Yan Ke , Minqing Zhang , Xinpeng Zhang , Jia Liu , Tingting Su , Xiaoyuan Yang

A corresponding comment, raised by Kao and Hwang, claims that the reconstructor Bob1 is unable to obtain the expected secret information in (t, n) Threshold d-level Quantum Secret Sharing (TDQSS)[Scientific Reports, Vol. 7, No. 1 (2017),…

Quantum Physics · Physics 2021-07-13 Chuang Li , Longwei Zhang , Xiuli Song

In TCSS (Threshold Changeable Secret Sharing) scheme, the threshold can be changed to deal with share leakage in the long term. But in classical TCSS, there is no guarantee that old shares are deleted even if the participated parties are…

Quantum Physics · Physics 2022-09-07 Xiaogang Cheng , Ren Guo , Changli Zhou

We present a new cellular data processing scheme, a hybrid of existing cellular automata (CA) and gate array architectures, which is optimized for realization at the quantum scale. For conventional computing, the CA-like external clocking…

Condensed Matter · Physics 2009-10-31 S. C. Benjamin , N. F. Johnson

Layered Cellular Automata (LCA) extends the concept of traditional cellular automata (CA) to model complex systems and phenomena. In LCA, each cell's next state is determined by the interaction of two layers of computation, allowing for…

Cellular Automata and Lattice Gases · Physics 2023-08-15 Abhishek Dalai

Conditional disclosure of secrets (CDS) allows multiple parties to reveal a secret to a third party if and only if some pre-decided condition is satisfied. In this work, we bolster the privacy guarantees of CDS by introducing…

Cryptography and Security · Computer Science 2021-10-11 Nolan Miranda , Foo Yee Yeo , Vipin Singh Sehrawat

To detect frauds from some internal participants or external attackers, some verifiable threshold quantum secret sharing schemes have been proposed. In this paper, we present a new verifiable threshold structure based on a single qubit…

Cryptography and Security · Computer Science 2020-12-02 Dan-Li Zhi , Zhi-Hui Li , Zhao-Wei Han , Li-Juan Liu

In this article, I propose a systematic method for the inverse ultra-discretization of cell automata using a functionally complete operation. We derive difference equations for the 256 kinds of elementary cellular automata(ECA) introduced…

Cellular Automata and Lattice Gases · Physics 2018-04-05 Norihito Toyota

Cryptographic approaches, such as secure multiparty computation, can be used to compute in a secure manner the function of a distributed graph without centralizing the data of each participant. However, the output of the protocol itself can…

Cryptography and Security · Computer Science 2024-12-09 Sofiane Azogagh , Zelma Aubin Birba , Josée Desharnais , Sébastien Gambs , Marc-Olivier Killijian , Nadia Tawbi

Secret sharing is the well-known problem of splitting a secret into multiple shares, which are distributed to shareholders. When enough or the correct combination of shareholders work together the secret can be restored. We introduce two…

Cryptography and Security · Computer Science 2020-10-09 Fabian Schillinger , Christian Schindelhauer

In the paper we propose general framework for Automatic Secret Generation and Sharing (ASGS) that should be independent of underlying secret sharing scheme. ASGS allows to prevent the dealer from knowing the secret or even to eliminate him…

Combinatorics · Mathematics 2007-07-16 Kamil Kulesza , Zbigniew Kotulski
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