{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,20]],"date-time":"2026-02-20T18:38:32Z","timestamp":1771612712903,"version":"3.50.1"},"reference-count":18,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018,6]]},"DOI":"10.1109\/arith.2018.8464809","type":"proceedings-article","created":{"date-parts":[[2018,9,17]],"date-time":"2018-09-17T22:06:04Z","timestamp":1537221964000},"page":"13-20","source":"Crossref","is-referenced-by-count":18,"title":["Karatsuba with Rectangular Multipliers for FPGAs"],"prefix":"10.1109","author":[{"given":"Martin","family":"Kumm","sequence":"first","affiliation":[]},{"given":"Oscar","family":"Gustafsson","sequence":"additional","affiliation":[]},{"given":"Florent","family":"de Dinechin","sequence":"additional","affiliation":[]},{"given":"Johannes","family":"Kappauf","sequence":"additional","affiliation":[]},{"given":"Peter","family":"Zipf","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref10","author":"ercegovac","year":"2003","journal-title":"Digital Arithmetic"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s00034-012-9457-3"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2005.49"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511921698"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1145\/1277548.1277552","article-title":"Integer and polynomial multiplication: Towards optimal toom-cook matrices","author":"bodrato","year":"2007","journal-title":"Computer Symbolic Algebra"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2017.2707488"},{"key":"ref16","first-page":"1","article-title":"Custom arithmetic datapath design for FPGAs using the FloPoCo core generator","author":"de dinechin","year":"2012","journal-title":"IEEE Design & Test of Computers"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/FPL.2013.6645544"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2018.2795611"},{"key":"ref4","article-title":"High-performance floating-point computing on reconfigurable circuits","author":"pasca","year":"2012","journal-title":"Ecole Normale Sup&#x00E9;rieure de Lyon"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/FPL.2009.5272296"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2012.06.004"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1023\/B:PACS.0000021269.20049.0f"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cdt.2011.0146"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1007\/978-3-642-41320-9_16","article-title":"Targeting FPGA DSP slices for a large integer multiplier for integer based FHE","author":"moore","year":"2013","journal-title":"Financial Cryptography and Data Security"},{"key":"ref2","year":"2018","journal-title":"UltraScale Architecture DSP Slice User Guide (v1 6) Xilinx Corporation"},{"key":"ref1","first-page":"595","article-title":"Multiplication of multidigit numbers on automata","volume":"7","author":"karatsuba","year":"1963","journal-title":"Soviet Physics Doklady"},{"key":"ref9","first-page":"131","article-title":"Optimal design of large multipliers for FPGAs","author":"kumm","year":"2017","journal-title":"14th IEEE Symposium on Computer Arithmetic (ARITH)"}],"event":{"name":"2018 IEEE 25th Symposium on Computer Arithmetic (ARITH)","location":"Amherst, MA, USA","start":{"date-parts":[[2018,6,25]]},"end":{"date-parts":[[2018,6,27]]}},"container-title":["2018 IEEE 25th Symposium on Computer Arithmetic (ARITH)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/8452530\/8464686\/08464809.pdf?arnumber=8464809","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,7]],"date-time":"2025-07-07T17:14:20Z","timestamp":1751908460000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8464809\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6]]},"references-count":18,"URL":"https:\/\/doi.org\/10.1109\/arith.2018.8464809","relation":{},"subject":[],"published":{"date-parts":[[2018,6]]}}}