{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,14]],"date-time":"2025-11-14T17:21:54Z","timestamp":1763140914956,"version":"3.37.3"},"reference-count":53,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"5","license":[{"start":{"date-parts":[[2017,5,1]],"date-time":"2017-05-01T00:00:00Z","timestamp":1493596800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100007136","name":"Spanish Ministry of Economy and Competitiveness and the ERDF under projects TACTICA, COMPASS and COMONSENS","doi-asserted-by":"publisher","award":["TEC2013-47020-C2-1-R","TEC2015-69648-REDC"],"award-info":[{"award-number":["TEC2013-47020-C2-1-R","TEC2015-69648-REDC"]}],"id":[{"id":"10.13039\/501100007136","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007136","name":"FPI","doi-asserted-by":"publisher","award":["BES-2014-069018"],"award-info":[{"award-number":["BES-2014-069018"]}],"id":[{"id":"10.13039\/501100007136","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Galician Regional Government and ERDF under projects and AtlantTIC","award":["GRC2013\/009"],"award-info":[{"award-number":["GRC2013\/009"]}]},{"DOI":"10.13039\/100004431","name":"EUH2020 Framework Programme through the Project WITDOM, with Project","doi-asserted-by":"publisher","award":["644371"],"award-info":[{"award-number":["644371"]}],"id":[{"id":"10.13039\/100004431","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans.Inform.Forensic Secur."],"published-print":{"date-parts":[[2017,5]]},"DOI":"10.1109\/tifs.2016.2647223","type":"journal-article","created":{"date-parts":[[2017,1,2]],"date-time":"2017-01-02T19:05:08Z","timestamp":1483383908000},"page":"1125-1140","source":"Crossref","is-referenced-by-count":39,"title":["Number Theoretic Transforms for Secure Signal Processing"],"prefix":"10.1109","volume":"12","author":[{"given":"Alberto","family":"Pedrouzo-Ulloa","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juan Ramon","family":"Troncoso-Pastoriza","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fernando","family":"Perez-Gonzalez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","first-page":"280","article-title":"Multiparty computation from threshold homomorphic encryption","volume":"2045","author":"cramer","year":"2001","journal-title":"Advances in Cryptology"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1969.tb04268.x"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-20465-4_4"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2000.860118"},{"journal-title":"Circulant Matrices","year":"1994","author":"davis","key":"ref31"},{"key":"ref30","article-title":"Fully homomorphic encryption from ring-LWE and security for key dependent messages","volume":"6841","author":"brakerski","year":"2011","journal-title":"Advances in Cryptology"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TAU.1970.1162132"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TIFS.2008.2011087"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-29485-8_20"},{"journal-title":"Gnu Multiple Precision Arithmetic Library","year":"2016","key":"ref34"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TC.1977.1674935"},{"key":"ref27","first-page":"673","article-title":"A report on primes of the form $k\\cdot 2^{n} + 1$ and on factors of fermat numbers","volume":"9","author":"robinson","year":"1958","journal-title":"Proc Amer Math Soc"},{"key":"ref29","first-page":"926","article-title":"Théorèmes sur les nombres premiers","volume":"87","author":"proth","year":"1878","journal-title":"Comptes Rendus Séances Académie Sci"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TIFS.2011.2109385"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-48910-X_16"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-81897-4"},{"key":"ref22","first-page":"68","article-title":"Towards practical lattice-based publickey encryption on reconfigurable hardware","author":"p\u00f6ppelmann","year":"2014","journal-title":"Selected Areas in Cryptography"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/HST.2013.6581570"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2014.2350431"},{"key":"ref23","first-page":"371","article-title":"Compact ring-LWE cryptoprocessor","volume":"8731","author":"roy","year":"2014","journal-title":"Cryptographic Hardware and Embedded Systems"},{"key":"ref26","first-page":"1333","article-title":"New primes of the form $k \\cdot 2^{n} + 1$","volume":"33","author":"baillie","year":"1979","journal-title":"Math Comput"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-015-0095-1"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1145\/1288869.1288884"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/TIFS.2009.2036230"},{"key":"ref53","first-page":"868","article-title":"Fully homomorphic encryption without modulus switching from classical GapSVP","volume":"7417","author":"brakerski","year":"2012","journal-title":"Advances in Cryptology"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1109\/78.365287"},{"article-title":"On-the-fly multiparty computation on the cloud via multikey fully homomorphic encryption","year":"2013","author":"l\u00f3pez-alt","key":"ref10"},{"key":"ref11","first-page":"617","article-title":"FHEW: Bootstrapping homomorphic encryption in less than a second","volume":"9056","author":"ducas","year":"2015","journal-title":"Advances in Cryptology"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1002\/ett.4460080506"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1145\/2535925"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2015.7178262"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-29485-8_19"},{"key":"ref15","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-53018-4_6","article-title":"A subfield lattice attack on overstretched NTRU assumptions: Cryptanalysis of some FHE and graded encoding schemes","author":"albrecht","year":"2016"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-88702-7_5"},{"key":"ref17","first-page":"319","article-title":"Better key sizes (and attacks) for LWEbased encryption","author":"lindner","year":"2011","journal-title":"Topics in Cryptology"},{"key":"ref18","first-page":"1","article-title":"BKZ 2.0: Better lattice security estimates","volume":"7073","author":"chen","year":"0","journal-title":"Advances in Cryptology"},{"journal-title":"Recommendation for Key Management - Part I General","year":"2016","key":"ref19"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1515\/popets-2016-0010"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIFS.2013.2262273"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/WIFS.2016.7823916"},{"key":"ref5","first-page":"201","article-title":"CryptoNets: Applying neural networks to encrypted data with high throughput and accuracy","author":"dowlin","year":"2016","journal-title":"Proc ICML"},{"article-title":"Somewhat practical fully homomorphic encryption","year":"2012","author":"fan","key":"ref8"},{"key":"ref7","first-page":"113","article-title":"Can homomorphic encryption be practical?","author":"lauter","year":"2011","journal-title":"Proc CCSW"},{"key":"ref49","doi-asserted-by":"crossref","first-page":"813","DOI":"10.1080\/00029890.2007.11920475","article-title":"On the reducibility of cyclotomic polynomials over finite fields","volume":"114","author":"harrison","year":"2007","journal-title":"Amer Math Monthly"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/978-3-642-45239-0_4","article-title":"Improved security for a ring-based fully homomorphic encryption scheme","volume":"8308","author":"bos","year":"2013","journal-title":"Cryptography and Coding"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-012-9720-4"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1142\/3254"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139172769"},{"key":"ref47","first-page":"318","article-title":"A comparison of the homomorphic encryption schemes FV and YASHE","volume":"8469","author":"lepoint","year":"2014","journal-title":"Progress in Cryptology"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1145\/2633600"},{"article-title":"On-the-fly homomorphic batching\/unbatching","year":"2015","author":"dor\u00f6z","key":"ref41"},{"journal-title":"Multirate Signal Processing for Communication Systems","year":"2004","author":"harris","key":"ref44"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2011.12"}],"container-title":["IEEE Transactions on Information Forensics and Security"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/10206\/7862329\/07803539.pdf?arnumber=7803539","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,20]],"date-time":"2022-07-20T12:14:11Z","timestamp":1658319251000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7803539\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5]]},"references-count":53,"journal-issue":{"issue":"5"},"URL":"https:\/\/doi.org\/10.1109\/tifs.2016.2647223","relation":{},"ISSN":["1556-6013","1556-6021"],"issn-type":[{"type":"print","value":"1556-6013"},{"type":"electronic","value":"1556-6021"}],"subject":[],"published":{"date-parts":[[2017,5]]}}}