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In this paper, a combination of memristor devices and CMOS transistors is working together to form a hybrid CMOS-memristor circuit for XAX- Module, a core element used as digital circuit for elliptic curve cryptography. The proposed design was implemented using Pt\/TaOx\/Ta memristor device and simulated in Cadence Virtuoso. The simulation results demonstrate the design functionality. The proposed module appears to be efficient in terms of layout area, delay and power consumption since the design utilizes the hybrid CMOS\/memristor gates. <\/jats:p>","DOI":"10.1142\/s0218126623502596","type":"journal-article","created":{"date-parts":[[2023,3,17]],"date-time":"2023-03-17T06:50:32Z","timestamp":1679035832000},"source":"Crossref","is-referenced-by-count":7,"title":["A Memristive-Based Design of a Core Digital Circuit for Elliptic Curve Cryptography"],"prefix":"10.1142","volume":"32","author":[{"given":"Khalid","family":"Alammari","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering, University of Windsor, 401 Sunset Ave, Windsor, Ontario, N9B 3P4, Canada"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5781-6754","authenticated-orcid":false,"given":"Majid","family":"Ahmadi","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, University of Windsor, 401 Sunset Ave, Windsor, Ontario, N9B 3P4, Canada"}]},{"given":"Arash","family":"Ahmadi","sequence":"additional","affiliation":[{"name":"Department of Electronic, Carleton University, 1125 Colonel By Dr, Ottawa, Ontario, K1S 5B6, Canada"}]}],"member":"219","published-online":{"date-parts":[[2023,4,21]]},"reference":[{"key":"S0218126623502596BIB001","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1109\/TCT.1971.1083337","volume":"18","author":"Chua L. 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