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In this work, we introduce a new technique for taking a single-secret sharing scheme with a general access structure and transforming it into an individually secure multi-secret sharing scheme where every secret has the same general access…

Information Theory · Computer Science 2024-05-14 Cailyn Bass , Alejandro Cohen , Rafael G. L. D'Oliveira , Muriel Médard

Perfect secret sharing scheme is a method of distribute a secret information $s$ among participants such that only predefined coalitions, called qualified subsets of the participants can recover the secret, whereas any other coalitions, the…

Cryptography and Security · Computer Science 2019-06-28 Mate Gyarmati , Peter Ligeti

Repairing locality is an appreciated feature for distributed storage, in which a damaged or lost data share can be repaired by accessing a subset of other shares much smaller than is required for decoding the complete data. However for…

Cryptography and Security · Computer Science 2017-09-19 Yue Fu , Shuhao Sun , Dagang Li , Peng Liu

Secret sharing of a quantum state, or quantum secret sharing, in which a dealer wants to share certain amount of quantum information with a few players, has wide applications in quantum information. The critical criterion in a threshold…

Quantum Physics · Physics 2016-07-20 He Lu , Zhen Zhang , Luo-Kan Chen , Zheng-Da Li , Chang Liu , Li Li , Nai-Le Liu , Xiongfeng Ma , Yu-Ao Chen , Jian-Wei Pan

Secret sharing is a cryptographic scheme to encode a secret to multiple shares being distributed to participants, so that only qualified sets of participants can restore the original secret from their shares. When we encode a secret by a…

Quantum Physics · Physics 2024-04-25 Mamoru Shibata , Ryutaroh Matsumoto

This paper studies the problem of repairing secret sharing schemes, i.e., schemes that encode a message into $n$ shares, assigned to $n$ nodes, so that any $n-r$ nodes can decode the message but any colluding $z$ nodes cannot infer any…

Information Theory · Computer Science 2017-06-05 Wentao Huang , Jehoshua Bruck

Secure multi-party computation provides a wide array of protocols for mutually distrustful parties be able to securely evaluate functions of private inputs. Within recent years, many such protocols have been proposed representing a plethora…

Cryptography and Security · Computer Science 2023-11-16 Kenneth Goss

This work introduces the \emph{Secure and Private Structured-Subset Retrieval (SPSSR)} problem. In SPSSR, a user wishes to retrieve one subset from an arbitrary family of size-$D$ subsets from $K$ messages replicated across $N$…

Information Theory · Computer Science 2026-05-13 Maha Issa , Anoosheh Heidarzadeh

Some of the secret sharing schemes having unique quantum features like parallelism and entanglement are supposed to be relatively secure. Different schemes proposed by various researchers over the years have features which could be specific…

Quantum Physics · Physics 2007-07-10 Arti Chamoli , C. M. Bhandari

In this paper we analyze the (im)possibility of the exact distinguishability of orthogonal multipartite entangled states under {\em restricted local operation and classical communication}. Based on this local distinguishability analysis we…

Quantum Physics · Physics 2015-05-19 Ramij Rahaman , Matthew G. Parker

Pixel expansion and the quality of the reconstructed secret image has been a major issue of visual secret sharing (VSS) schemes. A number of probabilistic VSS schemes with minimum pixel expansion have been proposed for black and white…

Cryptography and Security · Computer Science 2011-07-01 Sandeep Katta

The motivation for extending secret sharing schemes to cases when either the set of players is infinite or the domain from which the secret and/or the shares are drawn is infinite or both, is similar to the case when switching to abstract…

Cryptography and Security · Computer Science 2013-10-29 Alexander Dibert , László Csirmaz

We present a general scheme for sharing quantum secrets, and an extension to sharing classical secrets, which contain all known quantum secret sharing schemes. In this framework we show the equivalence of existence of both schemes, that is,…

Quantum Physics · Physics 2015-06-05 Anne Marin , Damian Markham

Secret key agreement from correlated physical layer observations is a cornerstone of information-theoretic security. This paper proposes and rigorously analyzes a complete, constructive protocol for secret key agreement from Gaussian…

Information Theory · Computer Science 2025-07-29 Emmanouil M. Athanasakos , Hariprasad Manjunath

We construct a new protocol for attribute-based encryption with the use of the modification of the standard secret sharing scheme. In the suggested modification of the secret sharing scheme, only one master key for each user is required…

Cryptography and Security · Computer Science 2020-11-24 M. A. Kudinov , A. A. Chilikov , E. O. Kiktenko , A. K. Fedorov

An important metric of the performance of a quantum secret sharing scheme is its information rate. Beyond the fact that the information rate is upper bounded by one, very little is known in terms of bounds on the information rate of quantum…

Quantum Physics · Physics 2011-04-22 Pradeep Sarvepalli

Nowadays, the utilization of the ever expanding amount of data has made a huge impact on web technologies while also causing various types of security concerns. On one hand, potential gains are highly anticipated if different organizations…

Machine Learning · Computer Science 2020-04-13 Chaochao Chen , Liang Li , Wenjing Fang , Jun Zhou , Li Wang , Lei Wang , Shuang Yang , Alex Liu , Hao Wang

Linear error-correcting codes can be used for constructing secret sharing schemes; however finding in general the access structures of these secret sharing schemes and, in particular, determining efficient access structures is difficult.…

Information Theory · Computer Science 2022-06-07 Angela Aguglia , Michela Ceria , Luca Giuzzi

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

This paper presents a recursive hiding scheme for 2 out of 3 secret sharing. In recursive hiding of secrets, the user encodes additional information about smaller secrets in the shares of a larger secret without an expansion in the size of…

Cryptography and Security · Computer Science 2009-02-17 Abhishek Parakh , Subhash Kak
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