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BEGIN:VEVENT
UID:413cc7ecf6e3ff6049d074ac2ffc6d0b
CATEGORIES:Colloquia
CREATED:20211110T114112
SUMMARY:The C^3 problem: locally testable codes with constant rate and constant distance 
LOCATION:Hill Center Room 705
DESCRIPTION:Abstract:  An error-correcting code ( LTC) is locally testable if there is 
 a random tester that reads only a constant number of bits of a given word a
 nd decides whether the word is in the code, or at least close to it.  A lon
 g-standing problem asks if there exists such a code that also satisfies the
  golden standards of coding theory: constant rate and constant distance. Ra
 ndom codes are not LTC !\n We construct such codes based on what we call (R
 amanujan) Left/Right Cayley square complexes. These 2-dimensional objects s
 eem to be of independent interest.  Joint work with I. Dinue, S.Evra, R. Li
 vne and S. Mozes. The talk will be self-contained. \n
X-ALT-DESC;FMTTYPE=text/html:<p style="background: white;">Abstract:&nbsp; An error-correcting code ( LT
 C) is locally testable if there is a random tester that reads only a consta
 nt number of bits of a given word and decides whether&nbsp;the word is in t
 he code, or at least close to it.&nbsp; A long-standing problem asks if the
 re exists such a&nbsp;code that also satisfies the golden standards of codi
 ng theory: constant rate and constant distance. Random codes are not LTC !<
 /p><p style="background: white;">&nbsp;We construct such codes based&nbsp;o
 n what we call (Ramanujan) Left/Right Cayley square complexes. These 2-dime
 nsional objects&nbsp;seem to be of independent interest.&nbsp; Joint work w
 ith I. Dinue, S.Evra, R. Livne and S. Mozes.&nbsp;The talk will be self-con
 tained.&nbsp;</p>
CONTACT:Alex Lubotzky (Hebrew University and IAS)  
DTSTAMP:20260829T134658
DTSTART;TZID=America/New_York:20211117T153000
DTEND;TZID=America/New_York:20211117T163000
SEQUENCE:0
TRANSP:OPAQUE
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