An Image Secret Sharing Method Based on Matrix Theory
Most of today’s secret image sharing technologies are based on the polynomial-based secret sharing scheme proposed by shamir. At present, researchers mostly focus on the development of properties such as small shadow size and lossless recovery, instead of the principle of Shamir’...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-10-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2073-8994/10/10/530 |
| _version_ | 1798002591973507072 |
|---|---|
| author | Wanmeng Ding Kesheng Liu Xuehu Yan Huaixi Wang Lintao Liu Qinghong Gong |
| author_facet | Wanmeng Ding Kesheng Liu Xuehu Yan Huaixi Wang Lintao Liu Qinghong Gong |
| author_sort | Wanmeng Ding |
| collection | DOAJ |
| description | Most of today’s secret image sharing technologies are based on the polynomial-based secret sharing scheme proposed by shamir. At present, researchers mostly focus on the development of properties such as small shadow size and lossless recovery, instead of the principle of Shamir’s polynomial-based SS scheme. In this paper, matrix theory is used to analyze Shamir’s polynomial-based scheme, and a general (k, n) threshold secret image sharing scheme based on matrix theory is proposed. The effectiveness of the proposed scheme is proved by theoretical and experimental results. Moreover, it has been proved that the Shamir’s polynomial-based SS scheme is a special case of our proposed scheme. |
| first_indexed | 2024-04-11T11:55:45Z |
| format | Article |
| id | doaj.art-e614e2bff6cd407ea8b7e4b9c07101b7 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T11:55:45Z |
| publishDate | 2018-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-e614e2bff6cd407ea8b7e4b9c07101b72022-12-22T04:25:11ZengMDPI AGSymmetry2073-89942018-10-01101053010.3390/sym10100530sym10100530An Image Secret Sharing Method Based on Matrix TheoryWanmeng Ding0Kesheng Liu1Xuehu Yan2Huaixi Wang3Lintao Liu4Qinghong Gong5National University of Defense Technology, Hefei 230037, ChinaNational University of Defense Technology, Hefei 230037, ChinaNational University of Defense Technology, Hefei 230037, ChinaNational University of Defense Technology, Hefei 230037, ChinaNational University of Defense Technology, Hefei 230037, ChinaNational University of Defense Technology, Hefei 230037, ChinaMost of today’s secret image sharing technologies are based on the polynomial-based secret sharing scheme proposed by shamir. At present, researchers mostly focus on the development of properties such as small shadow size and lossless recovery, instead of the principle of Shamir’s polynomial-based SS scheme. In this paper, matrix theory is used to analyze Shamir’s polynomial-based scheme, and a general (k, n) threshold secret image sharing scheme based on matrix theory is proposed. The effectiveness of the proposed scheme is proved by theoretical and experimental results. Moreover, it has been proved that the Shamir’s polynomial-based SS scheme is a special case of our proposed scheme.http://www.mdpi.com/2073-8994/10/10/530threshold constructionShamir’s polynomial-based schemesecret image sharingmatrix theoryVandermonde matrix |
| spellingShingle | Wanmeng Ding Kesheng Liu Xuehu Yan Huaixi Wang Lintao Liu Qinghong Gong An Image Secret Sharing Method Based on Matrix Theory Symmetry threshold construction Shamir’s polynomial-based scheme secret image sharing matrix theory Vandermonde matrix |
| title | An Image Secret Sharing Method Based on Matrix Theory |
| title_full | An Image Secret Sharing Method Based on Matrix Theory |
| title_fullStr | An Image Secret Sharing Method Based on Matrix Theory |
| title_full_unstemmed | An Image Secret Sharing Method Based on Matrix Theory |
| title_short | An Image Secret Sharing Method Based on Matrix Theory |
| title_sort | image secret sharing method based on matrix theory |
| topic | threshold construction Shamir’s polynomial-based scheme secret image sharing matrix theory Vandermonde matrix |
| url | http://www.mdpi.com/2073-8994/10/10/530 |
| work_keys_str_mv | AT wanmengding animagesecretsharingmethodbasedonmatrixtheory AT keshengliu animagesecretsharingmethodbasedonmatrixtheory AT xuehuyan animagesecretsharingmethodbasedonmatrixtheory AT huaixiwang animagesecretsharingmethodbasedonmatrixtheory AT lintaoliu animagesecretsharingmethodbasedonmatrixtheory AT qinghonggong animagesecretsharingmethodbasedonmatrixtheory AT wanmengding imagesecretsharingmethodbasedonmatrixtheory AT keshengliu imagesecretsharingmethodbasedonmatrixtheory AT xuehuyan imagesecretsharingmethodbasedonmatrixtheory AT huaixiwang imagesecretsharingmethodbasedonmatrixtheory AT lintaoliu imagesecretsharingmethodbasedonmatrixtheory AT qinghonggong imagesecretsharingmethodbasedonmatrixtheory |