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Shamir's celebrated secret sharing scheme provides an efficient method for encoding a secret of arbitrary length $\ell$ among any $N \leq 2^\ell$ players such that for a threshold parameter $t$, (i) the knowledge of any $t$ shares does not…

Cryptography and Security · Computer Science 2018-12-14 Fuchun Lin , Mahdi Cheraghchi , Venkatesan Guruswami , Reihaneh Safavi-Naini , Huaxiong Wang

Secret sharing schemes create an effective method to safeguard a secret by dividing it among several participants. By using hash functions and the herding hashes technique, we first set up a (t+1, n) threshold scheme which is perfect and…

Cryptography and Security · Computer Science 2011-11-08 Chi Sing Chum , Xiaowen Zhang

A Homomorphic Secret Sharing (HSS) scheme is a secret-sharing scheme that shares a secret $x$ among $s$ servers, and additionally allows an output client to reconstruct some function $f(x)$, using information that can be locally computed by…

Information Theory · Computer Science 2023-11-28 Keller Blackwell , Mary Wootters

Sharing a secret efficiently amongst a group of participants is not easy since there is always an adversary / eavesdropper trying to retrieve the secret. In secret sharing schemes, every participant is given a unique share. When the desired…

Cryptography and Security · Computer Science 2022-11-04 James Smith

In this paper, a renewable, multi-use, multi-secret sharing scheme for general access structure based on one-way collision resistant hash function is presented in which each participant has to carry only one share. By applying…

Cryptography and Security · Computer Science 2019-07-09 Angsuman Das , Avishek Adhikari

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

Quantum secret sharing (QSS) allows a dealer to distribute a secret quantum state among a set of parties so that certain subsets can reconstruct the secret, while unauthorized subsets obtain no information. While QSS was introduced over…

Quantum Physics · Physics 2023-05-02 Alper Çakan , Vipul Goyal , Chen-Da Liu-Zhang , João Ribeiro

Secret sharing schemes are widely used now a days in various applications, which need more security, trust and reliability. In secret sharing scheme, the secret is divided among the participants and only authorized set of participants can…

Cryptography and Security · Computer Science 2014-06-24 V P Binu , A Sreekumar

Secret image sharing deals with splitting confidential images into several shares and the original image can be reconstructed from the qualified subset of the shares. Secret sharing schemes are used in transmission and storage of private…

Cryptography and Security · Computer Science 2015-01-14 V. P. Binu , A. Sreekumar

For a secret sharing scheme, two parameters $d_{min}$ and $d_{cheat}$ are defined in [12] and [13]. These two parameters measure the error-correcting capability and the secret-recovering capability of the secret sharing scheme against…

Cryptography and Security · Computer Science 2007-05-23 Hao Chen

We demonstrate a new construction for perfect quantum secret sharing (QSS) schemes based on imperfect "ramp" secret sharing combined with classical encryption, in which the individual parties' shares are split into quantum and classical…

Quantum Physics · Physics 2012-11-12 Ben Fortescue , Gilad Gour

With the advantages of both classical and quantum secret sharing, many practical hybrid quantum secret sharing have been proposed. In this paper, we propose a hybrid quantum secret sharing scheme based on mutually unbiased bases and…

Quantum Physics · Physics 2020-06-24 Dan-Li Zhi , Zhu-Hui Li , Li-juan Liu , Zhao-Wei Han

Secure communications are of paramount importance in spectrum sharing networks due to the allocation and sharing characteristics of spectrum resources. To further explore the potential of intelligent reflective surfaces (IRSs) in enhancing…

Information Theory · Computer Science 2023-12-05 Lingyi Wang , Wei Wu , Fuhui Zhou , Qihui Wu , Octavia A. Dobre , Tony Q. S. Quek

In modern cryptography, the secret sharing scheme is an important cryptographic primitive and it is used in various situations. In this paper, a timed-release secret sharing scheme (TR-SS) with information-theoretic security is first…

Cryptography and Security · Computer Science 2014-05-13 Yohei Watanabe , Junji Shikata

In this paper, an algorithm is aimed to make a cryptosystem for gray level images based on voice features, secret sharing scheme and electromagnetic rotor machine. Here, Shamir secret sharing (k n) threshold scheme is used to secure a key…

Cryptography and Security · Computer Science 2020-11-04 Ashish Kumar , N S Raghava

A (t,n)-threshold secret sharing scheme is a method to distribute a secret among n participants in such a way that any t participants can recover the secret, but no t-1 participants can. In this paper, we propose two secret sharing schemes…

Cryptography and Security · Computer Science 2012-05-02 Maggie Habeeb , Delaram Kahrobaei , Vladimir Shpilrain

The threshold secret sharing scheme allows the dealer to distribute the share to every participant such that the secret is correctly recovered from a certain amount of shares. The traditional $(k, n)$-threshold secret sharing scheme…

Information Theory · Computer Science 2024-02-05 Qi Cheng , Hongru Cao , Sian-Jheng Lin , Nenghai Yu

It is known that for any general access structure, a secret sharing scheme (SSS) can be constructed from an (m,m)-threshold scheme by using the so-called cumulative map or from a (t,m)-threshold SSS by a modified cumulative map. However,…

Cryptography and Security · Computer Science 2007-07-13 Mitsugu Iwamoto , Hirosuke Yamamoto , Hirohisa Ogawa

Secret sharing in user hierarchy represents a challenging area for research. Although a lot of work has already been done in this direc- tion, this paper presents a novel approach to share a secret among a hierarchy of users while…

Cryptography and Security · Computer Science 2010-07-15 Ruchira Naskar , Indranil Sengupta

A new grayscale image encryption algorithm based on $(k,n)$ threshold secret sharing is proposed. The scheme allows a secret image to be transformed into $n$ shares, where any $k \le n$ shares can be used to reconstruct the secret image,…

Cryptography and Security · Computer Science 2014-08-25 El-Tigani B. Abdelsatir , Sahar Salahaldeen , Hyam Omar , Afra Hashim