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UID:20251109T032128EST-4898uz2uUv@132.216.98.100
DTSTAMP:20251109T082128Z
DESCRIPTION:Title: The C^3 problem: error-correcting codes with a constant 
 rate\, constant distance\, and constant locality.\n\n \n\nAbstract: An err
 or-correcting code is locally testable (LTC) if there is a random tester t
 hat reads only a constant number of bits of a given word and decides wheth
 er the word is in the code\, or at least close to it.\n\nA long-standing p
 roblem asks if there exists such a code that also satisfies the golden sta
 ndards of coding theory: constant rate and constant distance. Unlike the c
 lassical situation in coding theory\, random codes are not LTC\, so this p
 roblem is a challenge of a new kind.\n\nWe construct such codes based on w
 hat we call (Ramanujan) Left/Right Cayley square complexes. These\n\n2-dim
 ensional objects seem to be of independent interest.\n\nThe lecture will b
 e self-contained.\n\n\n	 \n
DTSTART:20211124T200000Z
DTEND:20211124T210000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Alex Lubotzky (Hebrew Univ / Weizmann Institute / IAS)
URL:/mathstat/channels/event/alex-lubotzky-hebrew-univ
 -weizmann-institute-ias-335056
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