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113
Voted
ECCC
2010
107views more  ECCC 2010»
14 years 10 months ago
On the Sum of Square Roots of Polynomials and related problems
Neeraj Kayal, Chandan Saha
127
Voted
ECCC
2010
119views more  ECCC 2010»
14 years 10 months ago
On beating the hybrid argument
The hybrid argument allows one to relate the distinguishability of a distribution (from uniform) to the predictability of individual bits given a prefix. The argument incurs a los...
Bill Fefferman, Ronen Shaltiel, Christopher Umans,...
142
Voted
ECCC
2010
103views more  ECCC 2010»
14 years 10 months ago
A note on exponential circuit lower bounds from derandomizing Arthur-Merlin games
We present an alternate proof of the recent result by Gutfreund and Kawachi that derandomizing Arthur-Merlin games into PNP implies linear-exponential circuit lower bounds for ENP...
Scott Aaronson, Baris Aydinlioglu, Harry Buhrman, ...
143
Voted
ECCC
2010
124views more  ECCC 2010»
14 years 10 months ago
A counterexample to the Alon-Saks-Seymour conjecture and related problems
Consider a graph obtained by taking an edge disjoint union of k complete bipartite graphs.
Hao Huang, Benny Sudakov
173
Voted
ECCC
2010
153views more  ECCC 2010»
14 years 10 months ago
Local list decoding with a constant number of queries
Efremenko showed locally-decodable codes of sub-exponential length that can handle close to 1 6 fraction of errors. In this paper we show that the same codes can be locally unique...
Avraham Ben-Aroya, Klim Efremenko, Amnon Ta-Shma
127
Voted
ECCC
2010
140views more  ECCC 2010»
14 years 10 months ago
Query-Efficient Locally Decodable Codes
A k-query locally decodable code (LDC) C : n N encodes each message x into a codeword C(x) such that each symbol of x can be probabilistically recovered by querying only k coordina...
Yeow Meng Chee, Tao Feng, San Ling, Huaxiong Wang,...
152
Voted
ECCC
2010
147views more  ECCC 2010»
14 years 10 months ago
A Note on Amplifying the Error-Tolerance of Locally Decodable Codes
Trevisan [Tre03] suggested a transformation that allows amplifying the error rate a code can handle. We observe that this transformation, that was suggested in the non-local setti...
Avraham Ben-Aroya, Klim Efremenko, Amnon Ta-Shma
112
Voted
ECCC
2010
107views more  ECCC 2010»
14 years 10 months ago
Bypassing UGC from some optimal geometric inapproximability results
Venkatesan Guruswami, Prasad Raghavendra, Rishi Sa...