2026-04-13T03:56:06Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/3437252026-02-07T12:09:51Zcom_2072_1033col_2072_452950

Efficient polynomial delegation under standard assumptions Morillo Bosch, M. Paz Obrador Sureda, Marc Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica Polynomials Teoria de nombres Classificació AMS::11 Number theory::11C Polynomials and matrices In this paper we present a new scheme for verifiable delegation of polynomials in a cloud computing scenario. The security of our scheme is based on a standard assumption, the subgroup membership one. Furthermore, the scheme is highly efficient since the number of operations is independent of the degree of the polynomial. We also propose a second scheme that allows to hide the polynomial to be delegated and that improves the efficiency of the scheme by Benabbas et al. in [BGV11]. Moreover, we give a third polynomial delegation scheme which is the first that allows the client to hide the input point. Peer Reviewed Postprint (author's final draft) 2013 Conference lecture http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6596066 info:eu-repo/grantAgreement/MICINN//MTM2009-07694/ES/Criptografia De Clave Publica Y Comparticion De Secretos/ Restricted access - publisher's policy Institute of Electrical and Electronics Engineers (IEEE)