Dynamic Threshold and Cheater Resistance for Shamir Secret Sharing Scheme

2006 ◽  
pp. 103-117 ◽  
Author(s):  
Christophe Tartary ◽  
Huaxiong Wang
Keyword(s):  
Secret Sharing ◽  
Dynamic Threshold ◽  
Secret Sharing Scheme ◽  
Sharing Scheme ◽  
Shamir Secret Sharing Scheme ◽  
Shamir Secret Sharing

scholarly journals CONSTRUCTING AND IMPLEMENTING SOME PERFECT VERIFIABLE SECRET SHARING SCHEMES

2021 ◽  
Vol 2 (64) ◽  
pp. 13-17
Author(s):  
Mariya A. Gusarova ◽  
Keyword(s):  
Secret Sharing ◽  
Discrete Logarithm ◽  
Quantum Secret Sharing ◽  
Secret Sharing Scheme ◽  
Public Key Cryptosystems ◽  
Sharing Scheme ◽  
Cryptographic Attacks ◽  
Shamir Secret Sharing Scheme ◽  
Shamir Secret Sharing ◽  
Factorization Of Integers

Most of the existing public key cryptosystems are potentially vulnerable to cryptographic attacks as they rely on the problems of discrete logarithm and factorization of integers. There is now a need for algorithms that will resist attacks on quantum computers. The article describes the implementation of Shamir’s post-quantum secret sharing scheme using long arithmetic that can be applied in modern cryptographic modules. The implementation of the Pedersen – Shamir scheme is described, which allows preserving the property of the perfection of the Shamir scheme by introducing testability. The article presents graphs reflecting the influence of the verifiability property in the Shamir secret sharing scheme on the speed of its operation.

Shamir Secret Sharing Scheme with Dynamic Access Structure (SSSDAS): case study on nuclear power plant

Kerntechnik ◽  
2015 ◽  
Vol 80 (2) ◽  
pp. 150-160 ◽  
Author(s):  
P. Thiyagarajan ◽  
Prasanth Kumar Thandra ◽  
J. Rajan ◽  
S. A. V. Satyamurthy ◽  
G. Aghila
Keyword(s):  
Power Plant ◽  
Nuclear Power Plant ◽  
Secret Sharing ◽  
Nuclear Power ◽  
Secret Sharing Scheme ◽  
Access Structure ◽  
Sharing Scheme ◽  
Shamir Secret Sharing Scheme ◽  
Shamir Secret Sharing

scholarly journals Combining the Pre-Distribution Key Protocol with the Threshold Scheme

2021 ◽  
Vol 2096 (1) ◽  
pp. 012008
Author(s):  
S V Belim ◽  
S Y Belim
Keyword(s):  
Secret Sharing ◽  
Threshold Scheme ◽  
Secret Sharing Scheme ◽  
Sharing Scheme ◽  
Distribution Scheme ◽  
Shamir Secret Sharing Scheme ◽  
Shamir Secret Sharing

Abstract In the article, the protocol for key pre-distribution using a threshold scheme is proposed. The Blom pre-distribution scheme is used as the basis. Shamir secret sharing scheme is used for threshold scheme. A polynomial of three variables is used to form key materials. Messaging between users is required to generate a key. The threshold scheme (3,4) is used to calculate the encryption key.

scholarly journals KEY PREALLOCATION PROTOCOL BASED ON A SECRET SHARING SCHEME

2020 ◽  
Vol 7 (2) ◽  
pp. 018-022
Author(s):  
S. Yu. Belim ◽  
Keyword(s):  
Secret Sharing ◽  
Threshold Scheme ◽  
Secret Sharing Scheme ◽  
Session Key ◽  
Key Predistribution ◽  
Sharing Scheme ◽  
Basic Protocol ◽  
Shamir Secret Sharing Scheme ◽  
Shamir Secret Sharing ◽  
Secure Channels

The symmetric encryption session key generation protocol based on the Shamir secret sharing scheme and the Blom key predistribution scheme is proposed. Predistribution of key materials through secure channels is used. Key calculation is based on symmetric polynomials from three variables. Key calculation is based on threshold scheme (3,4). The basic protocol for two participants was considered. A scheme for an arbitrary number of users has been summarized.

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