{"title":"Hybrid Multiplicative Secret Sharing","authors":"Maki Yoshida","doi":"10.1109/ITW48936.2021.9611361","DOIUrl":null,"url":null,"abstract":"A secret-sharing scheme is d-multiplicative if it allows the players to multiply d (rather than two) shared secrets (without recovering them) by locally converting their shares into an additive sharing of the product. In this work, the d-multiplicative secret-sharing (MSS) is extended to a hybrid MSS (HMSS), which is mainly designed for sharing d secrets against different access structures. A necessary and sufficient condition for n-player d-HMSS schemes to exist is presented. The condition is necessary for arbitrary (possibly inefficient or even nonlinear) secret-sharing schemes.","PeriodicalId":325229,"journal":{"name":"2021 IEEE Information Theory Workshop (ITW)","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 IEEE Information Theory Workshop (ITW)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITW48936.2021.9611361","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
A secret-sharing scheme is d-multiplicative if it allows the players to multiply d (rather than two) shared secrets (without recovering them) by locally converting their shares into an additive sharing of the product. In this work, the d-multiplicative secret-sharing (MSS) is extended to a hybrid MSS (HMSS), which is mainly designed for sharing d secrets against different access structures. A necessary and sufficient condition for n-player d-HMSS schemes to exist is presented. The condition is necessary for arbitrary (possibly inefficient or even nonlinear) secret-sharing schemes.
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