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UID:0f6890a5baa4d33466f55491536206b3
CATEGORIES:Experimental Mathematics Seminar
CREATED:20220925T145610
SUMMARY:Enumerative combinatorics and coding theory
LOCATION:Zoom
DESCRIPTION:<p><em style="color: #000000; font-family: 'Times New Roman'; font-size: me
 dium; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: sta
 rt; text-indent: 0px; text-transform: none; white-space: normal; widows: 2;
  word-spacing: 0px;">Abstract</em>: In his seminal 1994 paper entitled "Enu
 merative combinatorics and coding theory", Shalom Eliahou proposes a theory
 /method to enumerate the values of a polynomial in n variables with non-neg
 ative integer coefficients, assumed on {-1,+1}^n. The method builds an asso
 ciated binary linear code whose enumeration of certain weight suffices to a
 nswer the question. We shall present Eliahou's theory, as well as its appli
 cation to the problem of enumerating Legendre pairs. For background in Lege
 ndre pairs, please consult&nbsp;<a href="https://www.youtube.com/watch?v=0z
 PF5L-68UA" style="font-family: 'Times New Roman'; font-size: medium; font-w
 eight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-ind
 ent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacin
 g: 0px;">the ICECA 2022 talk</a>&nbsp;.</p>
CONTACT:Ilias Kotsireas, Wilfrid Laurier University
X-EXTRAINFO:Zoom Link https://rutgers.zoom.us/j/94346444480 [password: The 20th Catalan
  number, alias (40)!/(20!*21!), alias 6564120420 ]
DTSTAMP:20260827T171707
DTSTART;TZID=America/New_York:20221027T170000
DTEND;TZID=America/New_York:20221027T180000
SEQUENCE:0
TRANSP:OPAQUE
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