Shamir proposed a classic polynomial-based secret sharing(SS)scheme,which is also widely applied in secret image sharing(SIS).However,the following researchers paid more attention to the development of properties,such...Shamir proposed a classic polynomial-based secret sharing(SS)scheme,which is also widely applied in secret image sharing(SIS).However,the following researchers paid more attention to the development of properties,such as lossless recovery,rather than the principle of Shamir’s polynomial-based SS scheme.In this paper,we introduce matrix theory to analyze Shamir’s polynomial-based scheme as well as propose a general(k,n)threshold SIS construction based on matrix theory.Besides,it is proved that Shamir’s polynomial-based SS scheme is a special case of our construction method.Both experimental results and analyses are given to demonstrate the effectiveness of the proposed construction method.展开更多
Against the current social and technological background dominated by services and technology,new opportunities are opening up for the industrial transformation and upgrading of the construction industry.Considering th...Against the current social and technological background dominated by services and technology,new opportunities are opening up for the industrial transformation and upgrading of the construction industry.Considering the successful transformation and upgrading of the manufacturing industry through servitization,scholars and practitioners have begun to explore the possibility of servitization in the construction industry.Current practices and theory show that different understandings of servitization in the construction sector exist;however,they are still in their infancy and lack a deep and systematic awareness,which does not benefit the transformation and upgrading of construction through servitization.Therefore,this paper systematically analyzes the motivation,definition,and implications of servitization in construction based on the value-adding nature of servitization and considers the problems confronting the construction industry.To facilitate this development,transformation pathways for servitization in construction are analyzed from multiple angles,including value co-creation,service innovation,and networked operation,which are in line with the new trends in digital construction.In addition,based on the supporting elements of construction,which include finance,human resources,technology,materials,and equipment,this paper examines the impact of servitization on the construction industry’s ecology.In short,we expect that this systematic analysis and exposition can provide a holistic view of servitization in construction from the inside out for scholars and practitioners and can help to promote servitization in construction.展开更多
文摘Shamir proposed a classic polynomial-based secret sharing(SS)scheme,which is also widely applied in secret image sharing(SIS).However,the following researchers paid more attention to the development of properties,such as lossless recovery,rather than the principle of Shamir’s polynomial-based SS scheme.In this paper,we introduce matrix theory to analyze Shamir’s polynomial-based scheme as well as propose a general(k,n)threshold SIS construction based on matrix theory.Besides,it is proved that Shamir’s polynomial-based SS scheme is a special case of our construction method.Both experimental results and analyses are given to demonstrate the effectiveness of the proposed construction method.
基金This work was supported by the National Natural Science Foundation of China(71821001,71732001,and 72001131).The authors would like to thank the editor and the anonymous reviewers for their helpful comments and suggestions on earlier versions of the manuscript.
文摘Against the current social and technological background dominated by services and technology,new opportunities are opening up for the industrial transformation and upgrading of the construction industry.Considering the successful transformation and upgrading of the manufacturing industry through servitization,scholars and practitioners have begun to explore the possibility of servitization in the construction industry.Current practices and theory show that different understandings of servitization in the construction sector exist;however,they are still in their infancy and lack a deep and systematic awareness,which does not benefit the transformation and upgrading of construction through servitization.Therefore,this paper systematically analyzes the motivation,definition,and implications of servitization in construction based on the value-adding nature of servitization and considers the problems confronting the construction industry.To facilitate this development,transformation pathways for servitization in construction are analyzed from multiple angles,including value co-creation,service innovation,and networked operation,which are in line with the new trends in digital construction.In addition,based on the supporting elements of construction,which include finance,human resources,technology,materials,and equipment,this paper examines the impact of servitization on the construction industry’s ecology.In short,we expect that this systematic analysis and exposition can provide a holistic view of servitization in construction from the inside out for scholars and practitioners and can help to promote servitization in construction.
