{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T15:46:04Z","timestamp":1772207164790,"version":"3.50.1"},"reference-count":38,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"2","license":[{"start":{"date-parts":[[2018,4,1]],"date-time":"2018-04-01T00:00:00Z","timestamp":1522540800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Cloud Comput."],"published-print":{"date-parts":[[2018,4,1]]},"DOI":"10.1109\/tcc.2015.2396072","type":"journal-article","created":{"date-parts":[[2015,1,23]],"date-time":"2015-01-23T21:50:43Z","timestamp":1422049843000},"page":"453-463","source":"Crossref","is-referenced-by-count":10,"title":["Space-Efficient Verifiable Secret Sharing Using Polynomial Interpolation"],"prefix":"10.1109","volume":"6","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1118-7109","authenticated-orcid":false,"given":"Massimo","family":"Cafaro","sequence":"first","affiliation":[]},{"given":"Piergiuseppe","family":"Pelle","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.2307\/2153416"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1080\/00150517.2002.12428676","article-title":"The probability that k positive integers are pairwise relatively prime","volume":"40","author":"toth","year":"2002","journal-title":"Fibonacci Quarterly"},{"key":"ref32","author":"hardy","year":"1995","journal-title":"An Introduction to the Theory of Numbers"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-04053-9"},{"key":"ref30","first-page":"124","article-title":"Factoring polynomials over finite fields: Asymptotic complexity vs. reality","author":"shoup","year":"0","journal-title":"Proc IMACS Symp"},{"key":"ref37","author":"kivinen","year":"2003"},{"key":"ref36","author":"shoup","year":"2006","journal-title":"A Computational Introduction to Number Theory and Algebra"},{"key":"ref35","doi-asserted-by":"crossref","DOI":"10.1201\/b15895","author":"mollin","year":"2008","journal-title":"Fundamental Number Theory with Applications"},{"key":"ref34","first-page":"175","year":"1977","journal-title":"Proc 18th Annu Symp Found Comput Sci"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-47942-0_8"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-10838-9_10"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/PDCAT.2011.47"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-76900-2_23"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1145\/167088.167109"},{"key":"ref15","article-title":"Studies in secure multiparty computation and applications","author":"canetti","year":"1995"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1145\/197917.198088"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1145\/167088.167105"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s00446-013-0200-5"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/s00145-013-9172-7"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1967.tb03174.x"},{"key":"ref4","first-page":"208","article-title":"A modular approach to key safeguarding.","author":"asmuth","year":"2006","journal-title":"IEEE Trans Inf Theor"},{"key":"ref27","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-87126-9","author":"delfs","year":"2002","journal-title":"Introduction to Cryptography Principles and Applications"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-39466-4_27"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.1985.64"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0190(90)90195-4"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TCC.2013.11"},{"key":"ref8","first-page":"32","article-title":"A practical and provably secure scheme for publicly verifiable secret sharing and its applications","author":"fujisaki","year":"0","journal-title":"Proc Int Conf Theory Appl Cryptographic Techn"},{"key":"ref7","first-page":"190","article-title":"Publicly verifiable secret sharing","author":"stadler","year":"0","journal-title":"Proc 14th Annu Int Conf Theory Appl Cryptogr Technol"},{"key":"ref2","first-page":"313","article-title":"Safeguarding cryptographic keys","author":"blakley","year":"0","journal-title":"Proc AFIPS Nat Comput Conf"},{"key":"ref9","first-page":"148","article-title":"A simple publicly verifiable secret sharing scheme and its application to electronic","author":"schoenmakers","year":"0","journal-title":"Proc 19th Annu Int Cryptology Conf Adv Cryptology"},{"key":"ref1","first-page":"612","year":"0"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-44647-8_30"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.1987.4"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1145\/195613.195621"},{"key":"ref24","first-page":"251","article-title":"Secret sharing homomorphisms: Keeping shares of a secret sharing","author":"benaloh","year":"1986","journal-title":"Proc Adv Cryptology"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-46766-1_9"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1145\/1008908.1008911"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1007\/s10623-008-9265-8","author":"harn","year":"2009","journal-title":"Des Codes Cryptography"}],"container-title":["IEEE Transactions on Cloud Computing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6245519\/8372844\/07018923.pdf?arnumber=7018923","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,17]],"date-time":"2025-05-17T17:07:27Z","timestamp":1747501647000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/7018923\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,1]]},"references-count":38,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.1109\/tcc.2015.2396072","relation":{},"ISSN":["2168-7161"],"issn-type":[{"value":"2168-7161","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,4,1]]}}}