{"id":892,"date":"2018-10-01T23:10:07","date_gmt":"2018-10-02T06:10:07","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&#038;p=892"},"modified":"2019-01-15T00:26:46","modified_gmt":"2019-01-15T08:26:46","slug":"antc-seminar-talk-by-daniel-katz-csun","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/antc-seminar-talk-by-daniel-katz-csun\/","title":{"rendered":"Weil sums of binomials: properties and applications (Daniel Katz, CSUN)"},"content":{"rendered":"<p>We consider sums in which an additive character of a finite field F is\u00a0applied to a binomial whose individual terms (monomials) become\u00a0permutations of F when regarded as functions.\u00a0 These Weil sums\u00a0characterize the nonlinearity of power permutations of interest in\u00a0cryptography.\u00a0 They also tell us about the correlation of linear\u00a0recursive sequences over finite fields that are used in digital communications and remote sensing.\u00a0 In these applications, one is\u00a0interested in the spectrum of Weil sum values that are obtained as the\u00a0coefficients in the binomial are varied.\u00a0 We discuss topics of enduring\u00a0interest: Archimedean and non-Archimedean bounds on the sums, the number\u00a0of values in the spectrum, and the presence or absence of zero in the\u00a0spectrum.\u00a0 We indicate some important open problems and discuss progress that has been made on them.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We consider sums in which an additive character of a finite field F is\u00a0applied to a binomial whose individual terms (monomials) become\u00a0permutations of F when regarded as functions.\u00a0 These Weil [&hellip;]<\/p>\n","protected":false},"author":73,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","_tec_slr_enabled":"","_tec_slr_layout":""},"tags":[],"tribe_events_cat":[13],"class_list":["post-892","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-antc-seminar","cat_antc-seminar"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - 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