{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T16:39:19Z","timestamp":1740155959729,"version":"3.37.3"},"reference-count":16,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2020,6]]},"abstract":"<jats:p> Concatenated codes introduced by Forney in 1966 received wide attention due to their extensive usage in space missions. Thereafter, many concatenated codes were constructed on the similar lines and successfully employed in digital communication setup. In this paper, concatenated kernel code is defined. An example of concatenated kernel code and its trellis is constructed to demonstrate the importance of defined code and its computation. For the constructed code, the presence of homomorphism is tested using Blum\u2013Luby\u2013Rubinfeld Linearity test. Further, for the constructed trellis of the example code the properties such as proper, co-proper, biproper, one-to-one, minimal and minimal proper are investigated. <\/jats:p>","DOI":"10.1142\/s1793830920500445","type":"journal-article","created":{"date-parts":[[2020,3,24]],"date-time":"2020-03-24T03:11:26Z","timestamp":1585019486000},"page":"2050044","source":"Crossref","is-referenced-by-count":0,"title":["Concatenated kernel codes"],"prefix":"10.1142","volume":"12","author":[{"given":"R.","family":"Selvakumar","sequence":"first","affiliation":[{"name":"Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632014, Vellore, Tamil Nadu, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4907-5412","authenticated-orcid":false,"given":"C.","family":"Pavan Kumar","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Engineering, Indian Institute of Information Technology Dharwad, 580029, Hubballi, Karnataka, India"}]}],"member":"219","published-online":{"date-parts":[[2020,6,22]]},"reference":[{"key":"S1793830920500445BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2008.12.027"},{"key":"S1793830920500445BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/18.556674"},{"key":"S1793830920500445BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0000(93)90044-W"},{"key":"S1793830920500445BIB004","volume-title":"Concatenated codes","volume":"11","author":"Forney G. D.","year":"1966"},{"key":"S1793830920500445BIB005","volume-title":"List Decoding of Error-Correcting codes","volume":"3282","author":"Guruswami V.","year":"2004"},{"key":"S1793830920500445BIB006","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1950.tb00463.x"},{"key":"S1793830920500445BIB007","doi-asserted-by":"publisher","DOI":"10.1109\/18.476317"},{"key":"S1793830920500445BIB008","doi-asserted-by":"publisher","DOI":"10.1109\/ICSCN.2017.8085667"},{"key":"S1793830920500445BIB009","doi-asserted-by":"publisher","DOI":"10.1504\/IJICS.2018.089590"},{"key":"S1793830920500445BIB010","doi-asserted-by":"publisher","DOI":"10.1002\/0471739219"},{"key":"S1793830920500445BIB011","doi-asserted-by":"publisher","DOI":"10.1109\/18.21228"},{"issue":"7","key":"S1793830920500445BIB012","first-page":"980","volume":"85","author":"Priti S.","year":"2003","journal-title":"Current Sci."},{"key":"S1793830920500445BIB013","doi-asserted-by":"publisher","DOI":"10.1080\/09720529.2004.10697991"},{"key":"S1793830920500445BIB014","doi-asserted-by":"publisher","DOI":"10.1145\/584091.584093"},{"key":"S1793830920500445BIB015","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.2001.959879"},{"key":"S1793830920500445BIB016","first-page":"1989","volume-title":"Handbook of Coding Theory","volume":"2","author":"Vardy A.","year":"1998"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830920500445","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,8]],"date-time":"2020-07-08T10:49:16Z","timestamp":1594205356000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830920500445"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6]]},"references-count":16,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2020,6]]}},"alternative-id":["10.1142\/S1793830920500445"],"URL":"https:\/\/doi.org\/10.1142\/s1793830920500445","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2020,6]]}}}