{"id":72528,"date":"2018-02-20T23:50:30","date_gmt":"2018-02-20T23:50:30","guid":{"rendered":"https:\/\/writemyessayfree.com\/generation-of-matrices-for-determining-minimum-distance-and-decoding-non-cyclic-goppa-codes"},"modified":"2017-08-18T06:33:08","modified_gmt":"2017-08-18T06:33:08","slug":"generation-of-matrices-for-determining-minimum-distance-and-decoding-non-cyclic-goppa-codes","status":"publish","type":"post","link":"https:\/\/www.benedictsol.com\/blogs\/generation-of-matrices-for-determining-minimum-distance-and-decoding-non-cyclic-goppa-codes\/","title":{"rendered":"Generation of Matrices for Determining Minimum Distance and Decoding non-cyclic goppa codes"},"content":{"rendered":"<p>Paper details<\/p>\n<p>\u2013 A simple method based on Newton\u2019s identities arid their<br \/> extensions is presented for determining the actual minimum distance of<br \/> cyclic codes. More significantly, it is shown that this method also provides<br \/> a mechanism for generating the type of syndrome matrices needed by<br \/> Feng and Tzeng\u2019s new procedure for decoding cyclic and BCH codes up<br \/> to their actual minimum distance. Two procedures for generating such<br \/> matrices are given. With these procedures, we have generated syndrome<br \/> matrices having only one class of conjugate syndromes on the minor<br \/> diagonal for all binary cyclic codes of length n &lt; 63 and manly codes<br \/> of length 63 5 n 5 99. A listing of such syndrome matrices for selected<br \/> codes of length R &lt; 63 is included. An interesting connection of the<br \/> method presented in this correspondence to the shifting technique of .<br \/> can you prepare a new paper for publication , i think work on<br \/> generation matrices for non-cyclic goppa code be an idea for further<br \/> work.<\/p>\n<p>Number of pages &nbsp;&nbsp;&nbsp; 5<br \/> Due date &nbsp;&nbsp;&nbsp; 2014-05-29 07:00<br \/> Type of Assignment &nbsp;&nbsp;&nbsp; Research Paper<br \/> Academic Level &nbsp;&nbsp;&nbsp; Ph.D<br \/> Paper format &nbsp;&nbsp;&nbsp; APA<br \/> Number of references &nbsp;&nbsp;&nbsp; 6<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Paper details \u2013 A simple method based on Newton\u2019s identities arid their extensions is presented for determining the actual minimum distance of cyclic codes. More significantly, it is shown that this method also provides a mechanism for generating the type <a href=\"https:\/\/www.benedictsol.com\/blogs\/generation-of-matrices-for-determining-minimum-distance-and-decoding-non-cyclic-goppa-codes\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-72528","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/72528","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=72528"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/72528\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=72528"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=72528"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=72528"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}