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Do Your Projects With Domain Experts…
Copyright © 2015 LeMeniz Infotech. All rights reserved
Page number 1
LeMeniz Infotech
36, 100 Feet Road, Natesan Nagar, Near Indira Gandhi Statue,
Pondicherry-605 005.
Call: 0413-4205444, +91 9566355386, 99625 88976.
Web : www.lemenizinfotech.com / www.ieeemaster.com
Mail : projects@lemenizinfotech.com
SPACE-EFFICIENT VERIFIABLE SECRET SHARING USING
POLYNOMIAL INTERPOLATION
ABSTRACT
Preserving data confidentiality in clouds is a key issue. Secret Sharing, a
cryptographic primitive for the distribution of a secret among a group of n
participants designed so that only subsets of shareholders of cardinality 0 < t <= n
are allowed to reconstruct the secret by pooling their shares, can help mitigating
and minimizing the problem. A desirable feature of Secret Sharing schemes is
cheater detection, i.e. the ability to detect one or more malicious shareholders
trying to reconstruct the secret by obtaining legal shares from the other
shareholders while providing them with fake shares. Verifiable Secret Sharing
schemes solve this problem by allowing shareholders verifying the others’ shares.
We present new verification algorithms providing arbitrary secret sharing
schemes with cheater detection capabilities, and prove their space efficiency with
regard to other schemes appeared in the literature. We also introduce, in one of our
schemes, the Exponentiating Polynomial Root Problem (EPRP), which is believed
to be NP-Intermediate and therefore difficult.
EXISTING SYSTEM
Secret Sharing deals with the problem of securely distributing confidential
information among a certain number of shareholders, in such a way that only some
subsets of them are able to jointly decrypt it.
Do Your Projects With Domain Experts…
Copyright © 2015 LeMeniz Infotech. All rights reserved
Page number 2
LeMeniz Infotech
36, 100 Feet Road, Natesan Nagar, Near Indira Gandhi Statue,
Pondicherry-605 005.
Call: 0413-4205444, +91 9566355386, 99625 88976.
Web : www.lemenizinfotech.com / www.ieeemaster.com
Mail : projects@lemenizinfotech.com
DRAWBACK OF EXISTING SYSTEM
 Preserving data confidentiality in clouds is a key issue.
 The main difficulty is related to the fact that data is stored on a remote server
which is fully accessible by the cloud service provider.
 Encryption makes harder unauthorized disclosure of information.
PROPOSED SYSTEM
Several schemes and variants of secret sharing have been proposed, from the
seminal schemes which are based respectively on polynomial interpolation, and
hyperplanes intersection, to the newest approaches closely involving number
theory, such as the ones based on Remainder Theorem.
Secret Sharing can be beneficial in many different ways in cloud computing,
which is becoming increasingly common, with rapid adoption by both industry,
small and medium enterprises, and individual users.
ADVANTAGE OF PROPOSED SYSTEM
 Possible to encrypt a file containing sensitive information before storing it
on a cloud.
 Secret Sharing and multiple cloud.
 Providers, a scenario in which each generated share is stored on a different
cloud. The use of multiple clouds and Secret Sharing can therefore mitigate
and minimize
Do Your Projects With Domain Experts…
Copyright © 2015 LeMeniz Infotech. All rights reserved
Page number 3
LeMeniz Infotech
36, 100 Feet Road, Natesan Nagar, Near Indira Gandhi Statue,
Pondicherry-605 005.
Call: 0413-4205444, +91 9566355386, 99625 88976.
Web : www.lemenizinfotech.com / www.ieeemaster.com
Mail : projects@lemenizinfotech.com
SYSTEM SPECIFICATION
Hardware Requirements
System : Pentium IV 2.4 GHz
Hard Disk : 40 GB
Floppy Drive : 1.44 Mb
Monitor : 15 VGA Colour
Mouse : Logitech
Ram : 512 Mb
Software Requirements
Operating system : Windows XP
Technology Used : Microsoft .NET
Backend Used : SQL Server

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Space efficient verifiable secret sharing using polynomial interpolation

  • 1. Do Your Projects With Domain Experts… Copyright © 2015 LeMeniz Infotech. All rights reserved Page number 1 LeMeniz Infotech 36, 100 Feet Road, Natesan Nagar, Near Indira Gandhi Statue, Pondicherry-605 005. Call: 0413-4205444, +91 9566355386, 99625 88976. Web : www.lemenizinfotech.com / www.ieeemaster.com Mail : projects@lemenizinfotech.com SPACE-EFFICIENT VERIFIABLE SECRET SHARING USING POLYNOMIAL INTERPOLATION ABSTRACT Preserving data confidentiality in clouds is a key issue. Secret Sharing, a cryptographic primitive for the distribution of a secret among a group of n participants designed so that only subsets of shareholders of cardinality 0 < t <= n are allowed to reconstruct the secret by pooling their shares, can help mitigating and minimizing the problem. A desirable feature of Secret Sharing schemes is cheater detection, i.e. the ability to detect one or more malicious shareholders trying to reconstruct the secret by obtaining legal shares from the other shareholders while providing them with fake shares. Verifiable Secret Sharing schemes solve this problem by allowing shareholders verifying the others’ shares. We present new verification algorithms providing arbitrary secret sharing schemes with cheater detection capabilities, and prove their space efficiency with regard to other schemes appeared in the literature. We also introduce, in one of our schemes, the Exponentiating Polynomial Root Problem (EPRP), which is believed to be NP-Intermediate and therefore difficult. EXISTING SYSTEM Secret Sharing deals with the problem of securely distributing confidential information among a certain number of shareholders, in such a way that only some subsets of them are able to jointly decrypt it.
  • 2. Do Your Projects With Domain Experts… Copyright © 2015 LeMeniz Infotech. All rights reserved Page number 2 LeMeniz Infotech 36, 100 Feet Road, Natesan Nagar, Near Indira Gandhi Statue, Pondicherry-605 005. Call: 0413-4205444, +91 9566355386, 99625 88976. Web : www.lemenizinfotech.com / www.ieeemaster.com Mail : projects@lemenizinfotech.com DRAWBACK OF EXISTING SYSTEM  Preserving data confidentiality in clouds is a key issue.  The main difficulty is related to the fact that data is stored on a remote server which is fully accessible by the cloud service provider.  Encryption makes harder unauthorized disclosure of information. PROPOSED SYSTEM Several schemes and variants of secret sharing have been proposed, from the seminal schemes which are based respectively on polynomial interpolation, and hyperplanes intersection, to the newest approaches closely involving number theory, such as the ones based on Remainder Theorem. Secret Sharing can be beneficial in many different ways in cloud computing, which is becoming increasingly common, with rapid adoption by both industry, small and medium enterprises, and individual users. ADVANTAGE OF PROPOSED SYSTEM  Possible to encrypt a file containing sensitive information before storing it on a cloud.  Secret Sharing and multiple cloud.  Providers, a scenario in which each generated share is stored on a different cloud. The use of multiple clouds and Secret Sharing can therefore mitigate and minimize
  • 3. Do Your Projects With Domain Experts… Copyright © 2015 LeMeniz Infotech. All rights reserved Page number 3 LeMeniz Infotech 36, 100 Feet Road, Natesan Nagar, Near Indira Gandhi Statue, Pondicherry-605 005. Call: 0413-4205444, +91 9566355386, 99625 88976. Web : www.lemenizinfotech.com / www.ieeemaster.com Mail : projects@lemenizinfotech.com SYSTEM SPECIFICATION Hardware Requirements System : Pentium IV 2.4 GHz Hard Disk : 40 GB Floppy Drive : 1.44 Mb Monitor : 15 VGA Colour Mouse : Logitech Ram : 512 Mb Software Requirements Operating system : Windows XP Technology Used : Microsoft .NET Backend Used : SQL Server