{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,13]],"date-time":"2026-04-13T07:11:05Z","timestamp":1776064265856,"version":"3.50.1"},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Found. Comput. Sci."],"published-print":{"date-parts":[[2017,2]]},"abstract":"<jats:p> Compressed sensing is a sparse sampling theory. Compared with the Nyquist-Shannon sampling theory, in compressed sensing one could reconstruct a sparse signal from a few linear and non-adaptive measurements. How to construct a good sensing matrix which captures the full information of a sparse signal is an important problem in compressed sensing. In this paper, we present a new deterministic construction using a linear or nonlinear code, which is a generalization of DeVore\u2019s construction and Li et al.\u2019s construction. By choosing some appropriate linear codes or nonlinear codes, we will construct some good binary sensing matrices which are superior to DeVore\u2019s ones and Li et al.\u2019s ones. <\/jats:p>","DOI":"10.1142\/s0129054117500071","type":"journal-article","created":{"date-parts":[[2017,4,4]],"date-time":"2017-04-04T05:50:23Z","timestamp":1491285023000},"page":"99-109","source":"Crossref","is-referenced-by-count":8,"title":["Deterministic Construction of Compressed Sensing Matrices from Codes"],"prefix":"10.1142","volume":"28","author":[{"given":"Xiang","family":"Wang","sequence":"first","affiliation":[{"name":"Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, P. R. China"}]},{"given":"Fang-Wei","family":"Fu","sequence":"additional","affiliation":[{"name":"Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2017,4,3]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.871582"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.862083"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1137\/S0097539792240406"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.858979"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.885507"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2008.07.002"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-008-9031-3"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2007.909108"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1215\/00127094-1384809"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1974.1055219"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2007.04.002"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2012.2196256"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2111670"},{"issue":"7","key":"p_14","first-page":"1106","volume":"21","author":"Mohades M. M.","year":"2014","journal-title":"IEEE Signal Processing Letter"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2003.813559"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2181819"},{"key":"p_19","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2008.08.002"},{"key":"p_20","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2010.2043161"}],"container-title":["International Journal of Foundations of Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129054117500071","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T12:58:58Z","timestamp":1565096338000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129054117500071"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,2]]},"references-count":18,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2017,4,3]]},"published-print":{"date-parts":[[2017,2]]}},"alternative-id":["10.1142\/S0129054117500071"],"URL":"https:\/\/doi.org\/10.1142\/s0129054117500071","relation":{},"ISSN":["0129-0541","1793-6373"],"issn-type":[{"value":"0129-0541","type":"print"},{"value":"1793-6373","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,2]]}}}