几种秘密共享方案的研究_硕士学位论文
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基于元胞自动机原理提出了一种无可信任中心的多秘密共享方案，它和一般的基于元胞自动机的多秘密共享方案不同的是，份额的分发不需要分发者的参与，能够满足没有分发者的情况下也能够实现秘密份额的分发，这使得这种方案能得到更广的应用。
关键词：秘密共享；可公开验证；齐次线性递归；元胞自动机
Abstract
Secret sharing is an important tool for protecting the information and data. Secret sharing is used for protecting important information and data from beinglost, destroyed or falsified.Secret sharing has been one important branch of cryptography and one important research field of information security.This article illustratesthe research advancesof secretsharing technology, based on which several secure and efficent secret sharing schemes are proposed.This article has finished the following work:
A publicly verifiable secret sharing (PVSS) scheme is a special secret sharing scheme in which the shares distributed by the dealer can be verified not only by shareholders themselves but also by any other party. However, in a normal publicly verifiable secret sharing scheme, an adversary may get the secret by attacking threshold shareholder servers for a long time. In order to deal with this problem, a publicly verifiable secret sharing scheme with proactive ability is newly proposed, which not only can publicly verify the validity of shares, but also has the property of periodically renewing shares. This makes the proposed scheme more secure than other common publicly verifiable secret sharing schemes, and makes it better satisfy security demand of various applications.
Anew multi-secret sharing scheme based on homogeneous linear recursion is proposed,and then itisconvertedinto a verifiable scheme. In the distribution phase, veryfew of public values are needed to publish. In the recovery phase,each participant only needs to submit a pseudo shadow instead of his secret shadow,and his secret shadow cannot be disclosed. When secrets are changed,secret shadowsdon’tneed toberedistributed,which makes secret shadowable tobe used multiple times. The proposed scheme has many advantages, for example, thesecret sharescan be used multiple timesand the scheme publishesvery fewparameters as well as the reconstructedpolynomialhas a low degree. This makes the proposed scheme more efficient.Therefore,it better satisfiesdemandsof various applications.
基于齐次线性递归提出了一个新的多秘密共享方案，然后，将其扩展成一个可验证的方案。在秘密分发过程中，只需公布很少的公开参数，在秘密重构过程中，每个成员只需提Βιβλιοθήκη Baidu伪份额,不会暴露秘密份额，当秘密更改时，不需重新分配秘密份额，实现了秘密份额的多次使用。提出的方案具有秘密份额可以多次使用、公开的参数少以及所要重构多项式的次数小的优点，这使得方案更高效，能够更好地满足各种应用需求。
硕士学位论文
几种秘密共享方案的研究
摘 要
秘密共享是保护信息和数据的重要手段，它主要用于保护重要信息和数据，以防止重要信息的丢失、毁坏和篡改。秘密共享已经成为密码学研究的一个重要分支，同时也是信息安全方向的重要研究内容。本文首先介绍了秘密共享的研究现状，然后在此基础上提出了几种安全、有效的秘密共享方案。本文的主要工作表现在以下几个方面:
可公开验证秘密共享是一种特殊的秘密共享，由分发者分发的秘密份额不仅能被份额持有者自己验证，而且可以被其他任何成员验证。然而，对于一般的可公开验证秘密共享，敌手可能使用很长的时间，攻破门限个份额服务器，获得秘密。为了解决这个问题，提出了第一个具有前摄能力的可公开验证的秘密共享方案，不仅能够可公开验证份额的正确性，而且具有份额定期更新的性质，这使得方案比其它一般可公开验证秘密共享方案更安全，能够更好地满足各种应用的安全需求。
关键词：秘密共享；可公开验证；齐次线性递归；元胞自动机
Abstract
Secret sharing is an important tool for protecting the information and data. Secret sharing is used for protecting important information and data from beinglost, destroyed or falsified.Secret sharing has been one important branch of cryptography and one important research field of information security.This article illustratesthe research advancesof secretsharing technology, based on which several secure and efficent secret sharing schemes are proposed.This article has finished the following work:
A publicly verifiable secret sharing (PVSS) scheme is a special secret sharing scheme in which the shares distributed by the dealer can be verified not only by shareholders themselves but also by any other party. However, in a normal publicly verifiable secret sharing scheme, an adversary may get the secret by attacking threshold shareholder servers for a long time. In order to deal with this problem, a publicly verifiable secret sharing scheme with proactive ability is newly proposed, which not only can publicly verify the validity of shares, but also has the property of periodically renewing shares. This makes the proposed scheme more secure than other common publicly verifiable secret sharing schemes, and makes it better satisfy security demand of various applications.
Anew multi-secret sharing scheme based on homogeneous linear recursion is proposed,and then itisconvertedinto a verifiable scheme. In the distribution phase, veryfew of public values are needed to publish. In the recovery phase,each participant only needs to submit a pseudo shadow instead of his secret shadow,and his secret shadow cannot be disclosed. When secrets are changed,secret shadowsdon’tneed toberedistributed,which makes secret shadowable tobe used multiple times. The proposed scheme has many advantages, for example, thesecret sharescan be used multiple timesand the scheme publishesvery fewparameters as well as the reconstructedpolynomialhas a low degree. This makes the proposed scheme more efficient.Therefore,it better satisfiesdemandsof various applications.
基于齐次线性递归提出了一个新的多秘密共享方案，然后，将其扩展成一个可验证的方案。在秘密分发过程中，只需公布很少的公开参数，在秘密重构过程中，每个成员只需提Βιβλιοθήκη Baidu伪份额,不会暴露秘密份额，当秘密更改时，不需重新分配秘密份额，实现了秘密份额的多次使用。提出的方案具有秘密份额可以多次使用、公开的参数少以及所要重构多项式的次数小的优点，这使得方案更高效，能够更好地满足各种应用需求。
硕士学位论文
几种秘密共享方案的研究
摘 要
秘密共享是保护信息和数据的重要手段，它主要用于保护重要信息和数据，以防止重要信息的丢失、毁坏和篡改。秘密共享已经成为密码学研究的一个重要分支，同时也是信息安全方向的重要研究内容。本文首先介绍了秘密共享的研究现状，然后在此基础上提出了几种安全、有效的秘密共享方案。本文的主要工作表现在以下几个方面:
可公开验证秘密共享是一种特殊的秘密共享，由分发者分发的秘密份额不仅能被份额持有者自己验证，而且可以被其他任何成员验证。然而，对于一般的可公开验证秘密共享，敌手可能使用很长的时间，攻破门限个份额服务器，获得秘密。为了解决这个问题，提出了第一个具有前摄能力的可公开验证的秘密共享方案，不仅能够可公开验证份额的正确性，而且具有份额定期更新的性质，这使得方案比其它一般可公开验证秘密共享方案更安全，能够更好地满足各种应用的安全需求。