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Breaking Mignotte’s Sequence based Secret Sharing Scheme Using SMT Solver


Affiliations
1 Department of CSSE, Sree Vidyanikethan Engineering College (Autonomous), India
 

The secret sharing schemes are the important tools in cryptography that are used as building blocks in many secured protocols. It is a method used for distributing a secret among the participants in a manner that only the threshold number of participants together can recover the secret and the remaining set of participants cannot get any information about the secret. Secret sharing schemes are absolute for storing highly sensitive and important information. In a secret sharing scheme, a secret is divided into several shares. These shares are then distributed to the participants’ one each and thus only the threshold (t) number of participants can recover the secret. In this paper we have used Mignotte’s Sequence based Secret Sharing for distribution of shares to the participants. A (k, m) Mignotte's sequence is a sequence of pair wise co-prime positive integers. We have proposed a new method for reconstruction of secret even with t-1 shares using the SMT solver.

Keywords

Secret Sharing, Data Security, Mignotte’s Sequence, SMT Solver, Satisfiability.
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  • Breaking Mignotte’s Sequence based Secret Sharing Scheme Using SMT Solver

Abstract Views: 239  |  PDF Views: 118

Authors

K. Vishnu Priyanka
Department of CSSE, Sree Vidyanikethan Engineering College (Autonomous), India
M. Gowthami
Department of CSSE, Sree Vidyanikethan Engineering College (Autonomous), India
O. Susmitha
Department of CSSE, Sree Vidyanikethan Engineering College (Autonomous), India
G. Prathyusha
Department of CSSE, Sree Vidyanikethan Engineering College (Autonomous), India
Naresh Babu Muppalaneni
Department of CSSE, Sree Vidyanikethan Engineering College (Autonomous), India

Abstract


The secret sharing schemes are the important tools in cryptography that are used as building blocks in many secured protocols. It is a method used for distributing a secret among the participants in a manner that only the threshold number of participants together can recover the secret and the remaining set of participants cannot get any information about the secret. Secret sharing schemes are absolute for storing highly sensitive and important information. In a secret sharing scheme, a secret is divided into several shares. These shares are then distributed to the participants’ one each and thus only the threshold (t) number of participants can recover the secret. In this paper we have used Mignotte’s Sequence based Secret Sharing for distribution of shares to the participants. A (k, m) Mignotte's sequence is a sequence of pair wise co-prime positive integers. We have proposed a new method for reconstruction of secret even with t-1 shares using the SMT solver.

Keywords


Secret Sharing, Data Security, Mignotte’s Sequence, SMT Solver, Satisfiability.

References