{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T08:48:06Z","timestamp":1769158086968,"version":"3.49.0"},"reference-count":0,"publisher":"IOS Press","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010]]},"abstract":"<jats:p>We present below our first implementation results on a modular arithmetic library for cryptography on GPUs. Our library, in C++ for CUDA, provides modular arithmetic, finite field arithmetic and some ECC support. Several algorithms and memory coding styles have been compared: local, shared and register. For moderate sizes, we report up to 2.6 speedup compared to state-of-the-art library.<\/jats:p>","DOI":"10.3233\/978-1-60750-530-3-315","type":"book-chapter","created":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T15:30:51Z","timestamp":1739979051000},"source":"Crossref","is-referenced-by-count":1,"title":["Comparison of Modular Arithmetic Algorithms on GPUs"],"prefix":"10.3233","author":[{"family":"Giorgi Pascal","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"family":"Izard Thomas","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"family":"Tisserand Arnaud","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"7437","container-title":["Advances in Parallel Computing","Parallel Computing: From Multicores and GPU's to Petascale"],"original-title":[],"deposited":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T15:31:23Z","timestamp":1739979083000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.medra.org\/servlet\/aliasResolver?alias=iospressISSNISBN&issn=0927-5452&volume=19&spage=315"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"references-count":0,"URL":"https:\/\/doi.org\/10.3233\/978-1-60750-530-3-315","relation":{},"ISSN":["0927-5452"],"issn-type":[{"value":"0927-5452","type":"print"}],"subject":[],"published":{"date-parts":[[2010]]}}}