{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T21:50:37Z","timestamp":1648590637656},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J CIRCUIT SYST COMP"],"published-print":{"date-parts":[[2013,7]]},"abstract":"<jats:p> Modular multiplication is a very important arithmetic operation in residue-based real-time computing systems. In this paper, we present multipliers using a modified binary tree of the modulo m signed-digit (SD) number adders where m = 2<jats:sup>n<\/jats:sup> + \u03bc(\u03bc = \u00b11, 0). To simplify the residue SD adder, new addition rules are used for generating the intermediate sum and carry with an 1-bit binary encoded number representation. By using the new encoding method, the proposed residue addition requires less hardware and shorter delay time than previous one. A modulo m multiplier can be implemented by a binary modulo m adder tree which has a depth of log <jats:sub>2<\/jats:sub> n. In order to introduce a binary SD adder tree with the new addition rules, two novel modulo m adders have been proposed in this paper. Finally, the evaluation apparently shows that the proposed two kinds of modulo m adders are performed more efficiency by comparing with the modulo SD adder which is mentioned in our previous work, and a new binary SD adder tree structure has been proposed. <\/jats:p>","DOI":"10.1142\/s0218126613500436","type":"journal-article","created":{"date-parts":[[2013,6,16]],"date-time":"2013-06-16T22:06:57Z","timestamp":1371420417000},"page":"1350043","source":"Crossref","is-referenced-by-count":2,"title":["HIGH-SPEED MODULAR MULTIPLIERS BASED ON A NEW BINARY SIGNED-DIGIT ADDER TREE STRUCTURE"],"prefix":"10.1142","volume":"22","author":[{"given":"MINGDA","family":"ZHANG","sequence":"first","affiliation":[{"name":"Department of Production Science and Technology, Gunma University, Ota-Shi, Gunma, Japan 373-0057, Japan"}]},{"given":"SHUGANG","family":"WEI","sequence":"additional","affiliation":[{"name":"Department of Production Science and Technology, Gunma University, Ota-Shi, Gunma, Japan 373-0057, Japan"}]}],"member":"219","published-online":{"date-parts":[[2013,7,29]]},"reference":[{"key":"rf1","volume-title":"Residue Arithmetic and Its Applications to Computer Technology","author":"Szabo N. S.","year":"1967"},{"key":"rf2","volume-title":"Residue Number System Arithmetic: Modern Applications in Digital Signal Processing","author":"Sonderstrand M. A.","year":"1986"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2002.1146705"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1049\/el:19920194"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2005.63"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cdt:20060026"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2004.1261842"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/12.863036"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1109\/4.278352"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1109\/TASSP.1976.1162834"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2008.2008055"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1109\/TEC.1961.5219227"},{"key":"rf16","first-page":"2056","volume":"83","author":"Wei S.","year":"2000","journal-title":"IEICE Trans. Inf. Syst. E"},{"key":"rf17","volume-title":"Computer Arithmetic Algorithms","author":"Koren I.","year":"2002"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2789-0"},{"key":"rf19","volume-title":"VHDL for Programable Logic","author":"Skahill K.","year":"1996"}],"container-title":["Journal of Circuits, Systems and Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218126613500436","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T11:28:04Z","timestamp":1565090884000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218126613500436"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,7]]},"references-count":16,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2013,7,29]]},"published-print":{"date-parts":[[2013,7]]}},"alternative-id":["10.1142\/S0218126613500436"],"URL":"https:\/\/doi.org\/10.1142\/s0218126613500436","relation":{},"ISSN":["0218-1266","1793-6454"],"issn-type":[{"value":"0218-1266","type":"print"},{"value":"1793-6454","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,7]]}}}