{"id":219,"date":"2018-01-31T12:50:03","date_gmt":"2018-01-31T12:50:03","guid":{"rendered":"http:\/\/blogs.kent.ac.uk\/pgrseminars\/?p=219"},"modified":"2018-08-14T13:17:57","modified_gmt":"2018-08-14T12:17:57","slug":"2-february-isaac-oppong-balance-incomplete-block-designs-bibds-in-the-splitting-fields-of-some-polynomials","status":"publish","type":"post","link":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/2018\/01\/31\/2-february-isaac-oppong-balance-incomplete-block-designs-bibds-in-the-splitting-fields-of-some-polynomials\/","title":{"rendered":"2 February ~ Isaac Oppong &#8220;Balance Incomplete Block Designs (BIBDs) in the Splitting Fields of some Polynomials&#8221;"},"content":{"rendered":"<div><i>We consider how we can obtain balance incomplete block designs (BIBDs) from the splitting fields of some class of polynomials. The splitting field of polynomial,<\/i><\/div>\n<div><i>p(x) is the smallest field in which p(x) splits as a product of linear factors. A<\/i><\/div>\n<div><i>BIBD is considered as an arrangement of a finite set of elements into some subsets<\/i><\/div>\n<div><i>subject to a specific defining relations. BIBDs came into existence through the<\/i><\/div>\n<div><i>work of Authors such as R. A Fisher and F. Yates on the question of the design of<\/i><\/div>\n<div><i>field experiments in agriculture in the 1930s. We construct BIBDs from the splitting fields of polynomials.<\/i><\/div>\n","protected":false},"excerpt":{"rendered":"<p>We consider how we can obtain balance incomplete block designs (BIBDs) from the splitting fields of some class of polynomials. The splitting field of polynomial, &hellip; <a href=\"https:\/\/blogs.kent.ac.uk\/pgrseminars\/2018\/01\/31\/2-february-isaac-oppong-balance-incomplete-block-designs-bibds-in-the-splitting-fields-of-some-polynomials\/\">Read&nbsp;more<\/a><\/p>\n","protected":false},"author":52945,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[170525,170524,1],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/219"}],"collection":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/users\/52945"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/comments?post=219"}],"version-history":[{"count":2,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/219\/revisions"}],"predecessor-version":[{"id":222,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/219\/revisions\/222"}],"wp:attachment":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/media?parent=219"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/categories?post=219"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/tags?post=219"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}