Publicly Verifiable Secret Sharing Scheme with Provable Security against Chosen Secret Attacks
Secret sharing is an important aspect of key management in wireless ad hoc and sensor networks. In this paper, we define a new secure model of secret sharing, use the Lagrange interpolation and the bilinear cyclic groups to construct an efficient publicly verifiable secret sharing scheme on the basi...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi - SAGE Publishing
2013-02-01
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| Series: | International Journal of Distributed Sensor Networks |
| Online Access: | https://doi.org/10.1155/2013/902462 |
| _version_ | 1797723388993601536 |
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| author | Yuanju Gan Lihua Wang Licheng Wang Ping Pan Yixian Yang |
| author_facet | Yuanju Gan Lihua Wang Licheng Wang Ping Pan Yixian Yang |
| author_sort | Yuanju Gan |
| collection | DOAJ |
| description | Secret sharing is an important aspect of key management in wireless ad hoc and sensor networks. In this paper, we define a new secure model of secret sharing, use the Lagrange interpolation and the bilinear cyclic groups to construct an efficient publicly verifiable secret sharing scheme on the basis of this model, and show that this scheme is provably secure against adaptively chosen secret attacks (CSAs) based on the decisional bilinear Diffie-Hellman (DBDH) problem. We find that this scheme has the following properties: (a) point-to-point secure channels are not required in both the secret distribution phase and the secret reconstruction phase; (b) it is a noninteractive secret sharing system in that the participants need not communicate with each other during subshadow verification; and (c) each participant is able to share many secrets with other participants despite holding only one shadow. |
| first_indexed | 2024-03-12T10:01:12Z |
| format | Article |
| id | doaj.art-33b631d3b9b74566b5401f6296ff1e62 |
| institution | Directory Open Access Journal |
| issn | 1550-1477 |
| language | English |
| last_indexed | 2024-03-12T10:01:12Z |
| publishDate | 2013-02-01 |
| publisher | Hindawi - SAGE Publishing |
| record_format | Article |
| series | International Journal of Distributed Sensor Networks |
| spelling | doaj.art-33b631d3b9b74566b5401f6296ff1e622023-09-02T11:38:38ZengHindawi - SAGE PublishingInternational Journal of Distributed Sensor Networks1550-14772013-02-01910.1155/2013/902462Publicly Verifiable Secret Sharing Scheme with Provable Security against Chosen Secret AttacksYuanju Gan0Lihua Wang1Licheng Wang2Ping Pan3Yixian Yang4 School of Information, Guangdong Ocean University, Zhanjiang, Guangdong 524088, China Network Security Research Institute, National Institute of Information and Communications Technology, 4-2-1 Nukui-Kitamachi, Koganei, Tokyo 184-8795, Japan State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaSecret sharing is an important aspect of key management in wireless ad hoc and sensor networks. In this paper, we define a new secure model of secret sharing, use the Lagrange interpolation and the bilinear cyclic groups to construct an efficient publicly verifiable secret sharing scheme on the basis of this model, and show that this scheme is provably secure against adaptively chosen secret attacks (CSAs) based on the decisional bilinear Diffie-Hellman (DBDH) problem. We find that this scheme has the following properties: (a) point-to-point secure channels are not required in both the secret distribution phase and the secret reconstruction phase; (b) it is a noninteractive secret sharing system in that the participants need not communicate with each other during subshadow verification; and (c) each participant is able to share many secrets with other participants despite holding only one shadow.https://doi.org/10.1155/2013/902462 |
| spellingShingle | Yuanju Gan Lihua Wang Licheng Wang Ping Pan Yixian Yang Publicly Verifiable Secret Sharing Scheme with Provable Security against Chosen Secret Attacks International Journal of Distributed Sensor Networks |
| title | Publicly Verifiable Secret Sharing Scheme with Provable Security against Chosen Secret Attacks |
| title_full | Publicly Verifiable Secret Sharing Scheme with Provable Security against Chosen Secret Attacks |
| title_fullStr | Publicly Verifiable Secret Sharing Scheme with Provable Security against Chosen Secret Attacks |
| title_full_unstemmed | Publicly Verifiable Secret Sharing Scheme with Provable Security against Chosen Secret Attacks |
| title_short | Publicly Verifiable Secret Sharing Scheme with Provable Security against Chosen Secret Attacks |
| title_sort | publicly verifiable secret sharing scheme with provable security against chosen secret attacks |
| url | https://doi.org/10.1155/2013/902462 |
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