{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T10:27:32Z","timestamp":1760956052924,"version":"3.37.3"},"reference-count":23,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,11,23]],"date-time":"2020-11-23T00:00:00Z","timestamp":1606089600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100007085","name":"National University of Defense Technology","doi-asserted-by":"publisher","award":["61602491"],"award-info":[{"award-number":["61602491"]}],"id":[{"id":"10.13039\/501100007085","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61602491"],"award-info":[{"award-number":["61602491"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Security and Communication Networks"],"published-print":{"date-parts":[[2020,11,23]]},"abstract":"<jats:p>Shadow images generated from Shamir\u2019s polynomial-based secret image sharing (SSIS) may leak the original secret image information, which causes a significant risk. The occurrence of this risk is closely related to the basis of secret image sharing, Shamir\u2019s polynomial. Shamir\u2019s polynomial plays an essential role in secret sharing, but there are relatively few studies on the power and order number of Shamir\u2019s polynomial. In order to improve the security and effectiveness of SSIS, this paper mainly studies the utility of two parameters in Shamir\u2019s polynomial, order number and power. Through the research of this kind of utility, the choice of order number and power can be given under different security requirements. In this process, an effective shadow image evaluation algorithm is proposed, which can measure the security of shadow images generated by SSIS. The user can understand the influence rule of the order number and power in SSIS, so that the user can choose the appropriate order number and power according to different security needs.<\/jats:p>","DOI":"10.1155\/2020\/6627178","type":"journal-article","created":{"date-parts":[[2020,11,24]],"date-time":"2020-11-24T02:53:25Z","timestamp":1606186405000},"page":"1-13","source":"Crossref","is-referenced-by-count":4,"title":["On the Value of Order Number and Power in Secret Image Sharing"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9778-7783","authenticated-orcid":true,"given":"Yongqiang","family":"Yu","sequence":"first","affiliation":[{"name":"National University of Defense Technology, Hefei 230037, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Longlong","family":"Li","sequence":"additional","affiliation":[{"name":"National University of Defense Technology, Hefei 230037, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuliang","family":"Lu","sequence":"additional","affiliation":[{"name":"National University of Defense Technology, Hefei 230037, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6388-1720","authenticated-orcid":true,"given":"Xuehu","family":"Yan","sequence":"additional","affiliation":[{"name":"National University of Defense Technology, Hefei 230037, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"issue":"3","key":"1","first-page":"2645","article-title":"Security in computing","volume":"16","author":"J. 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