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In this paper, we show a "direct" equivalence between certain authentication codes and robust secret sharing schemes. It was previously known that authentication codes and robust secret sharing schemes are closely related to similar types…

Cryptography and Security · Computer Science 2019-10-15 Maura B. Paterson , Douglas R. Stinson

Beimel, Tassa and Weinreb (2008) and Farras and Padro (2010) partially characterized access structures of ideal weighted threshold secret sharing schemes in terms of the operation of composition. They classified indecomposable ideal…

Cryptography and Security · Computer Science 2013-08-20 Ali Hameed , Arkadii Slinko

We consider a distributed secret sharing system that consists of a dealer, $n$ storage nodes, and $m$ users. Each user is given access to a certain subset of storage nodes, where it can download the stored data. The dealer wants to securely…

Information Theory · Computer Science 2020-09-30 Mahdi Soleymani , Hessam Mahdavifar

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

A new scheme of probabilistic subgroup-related encryption is introduced. Some applications of this scheme based on the RSA, Diffie-Hellman and ElGamal encryption algorithms are described. Security assumptions and main advantages of this…

Cryptography and Security · Computer Science 2016-03-08 Vitalii Roman'kov

In this paper, a new key-agreement scheme is proposed and analyzed. In addition to being provably secure in shared secret key indistinguishability model, the scheme has an interesting feature: while using exponentiation over a cyclic…

Cryptography and Security · Computer Science 2021-06-08 Abdelhaliem Babiker

Non-malleable secret sharing was recently proposed by Goyal and Kumar in independent tampering and joint tampering models for threshold secret sharing (STOC18) and secret sharing with general access structure (CRYPTO18). The idea of making…

Cryptography and Security · Computer Science 2019-06-18 Fuchun Lin , Mahdi Cheraghchi , Venkatesan Guruswami , Reihaneh Safavi-Naini , Huaxiong Wang

A recent work of Harn and Fuyou presents the first multilevel (disjunctive) threshold secret sharing scheme based on the Chinese Remainder Theorem. In this work, we first show that the proposed method is not secure and also fails to work…

Cryptography and Security · Computer Science 2016-05-26 Oguzhan Ersoy , Kamer Kaya , Kerem Kaskaloglu

Secret sharing is a multi-party cryptographic primitive that can be applied to a network of partially distrustful parties for encrypting data that is both sensitive (it must remain secure) and important (it must not be lost or destroyed).…

Quantum Physics · Physics 2022-02-28 Nathan Walk , Jens Eisert

We design and develop a secret-sharing-scheme-based cyberattack detection model(S3CDM)that can detect unauthorized or illegal activities (especially insider attacks) and protect sensitive information within complex network infrastructures…

Cryptography and Security · Computer Science 2026-04-14 Chi Sing Chum , Jia Lu , Claire Tang , Xiaowen Zhang

This paper presents MULTISS, a new protocol for long-term storage distributed across multiple Quantum Key Distribution (QKD) networks. This protocol is an extension of LINCOS, a secure storage protocol that uses Shamir secret sharing for…

Cryptography and Security · Computer Science 2025-06-06 Thomas Prévost , Olivier Alibart , Marc Kaplan , Anne Marin

This paper introduces the first two-dimensional XOR-based secret sharing scheme for layered multipath communication networks. We present a construction that guarantees successful message recovery and perfect privacy when an adversary…

Cryptography and Security · Computer Science 2025-09-30 Wai Ming Chan , Remi Chou , Taejoon Kim

In this paper, we examine the physical-layer security for a spectrum sharing system consisting of multiple source-destination pairs, which dynamically access their shared spectrum for data transmissions in the presence of an eavesdropper.…

Information Theory · Computer Science 2016-12-23 Yulong Zou

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

Security of the three-party quantum secret sharing (QSS) schemes based on entanglement and a collective eavesdropping check is analyzed in the case of considerable quantum channel losses. An opaque attack scheme is presented for the…

Quantum Physics · Physics 2007-05-23 Fu-Guo Deng , Xi-Han Li , Hong-Yu Zhou

In this paper, we investigate a novel $(2,2)$-threshold scheme and then generalize this to a $(n,n)$-threshold scheme for quantum secret sharing (QSS) which makes use of the fundamentals of Analytic Geometry. The dealer aptly selects GHZ…

Quantum Physics · Physics 2010-04-28 Ruilong Liu

This paper considers the problem of pairwise key agreement without public communication between three users connected through a generalized multiple access channel (MAC). While two users control the channel inputs, all three users observe…

Information Theory · Computer Science 2016-03-18 Somayeh Salimi , Matthieu Bloch , Frederic Gabry , Mikael Skoglund , Panos Papadimitratos

Secure group communications are a mechanism facilitating protected transmission of messages from a sender to multiple receivers, and many emerging applications in both wired and wireless networks need the support of such a mechanism. There…

Cryptography and Security · Computer Science 2020-10-13 Shouhuai Xu

In this paper we define a kind of decomposition for a quantum access structure. We propose a conception of minimal maximal quantum access structure and obtain a sufficient and necessary condition for minimal maximal quantum access…

Quantum Physics · Physics 2017-01-17 Chen-Ming Bai , Zhi-Hui Li , Yong-Ming Li

We consider an extension of Massey's construction of secret sharing schemes using linear codes. We describe the access structure of the scheme and show its connection to the dual code. We use the $g$-fold weight enumerator and invariant…

Information Theory · Computer Science 2010-07-13 Romar dela Cruz , Annika Meyer , Patrick Solé