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UID:0f6890a5baa4d33466f55491536206b3
CATEGORIES:Experimental Mathematics Seminar
CREATED:20220925T145610
SUMMARY:Enumerative combinatorics and coding theory
LOCATION:Zoom
DESCRIPTION:Abstract: In his seminal 1994 paper entitled "Enumerative combinatorics and
  coding theory", Shalom Eliahou proposes a theory/method to enumerate the v
 alues of a polynomial in n variables with non-negative integer coefficients
 , assumed on {-1,+1}^n. The method builds an associated binary linear code 
 whose enumeration of certain weight suffices to answer the question. We sha
 ll present Eliahou's theory, as well as its application to the problem of e
 numerating Legendre pairs. For background in Legendre pairs, please consult
  the ICECA 2022 talk (https://www.youtube.com/watch?v=0zPF5L-68UA) .\n
X-ALT-DESC;FMTTYPE=text/html:<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:20260829T104821
DTSTART;TZID=America/New_York:20221027T170000
DTEND;TZID=America/New_York:20221027T180000
SEQUENCE:0
TRANSP:OPAQUE
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