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ECCC
2007
144views more  ECCC 2007»
13 years 11 months ago
Algebraic Lower Bounds for Computing on Encrypted Data
In cryptography, there has been tremendous success in building primitives out of homomorphic semantically-secure encryption schemes, using homomorphic properties in a blackbox way...
Rafail Ostrovsky, William E. Skeith III
TIT
2008
130views more  TIT 2008»
13 years 11 months ago
Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity
Abstract. The recent algebraic attacks have received a lot of attention in cryptographic literature. The algebraic immunity of a Boolean function quantifies its resistance to the s...
Sihem Mesnager
ECCC
2011
183views ECommerce» more  ECCC 2011»
13 years 6 months ago
Extractors and Lower Bounds for Locally Samplable Sources
We consider the problem of extracting randomness from sources that are efficiently samplable, in the sense that each output bit of the sampler only depends on some small number d ...
Anindya De, Thomas Watson
COCO
2011
Springer
221views Algorithms» more  COCO 2011»
12 years 10 months ago
Non-uniform ACC Circuit Lower Bounds
The class ACC consists of circuit families with constant depth over unbounded fan-in AND, OR, NOT, and MODm gates, where m > 1 is an arbitrary constant. We prove: • NTIME[2n ...
Ryan Williams
FOCS
1993
IEEE
14 years 3 months ago
A Tight Lower Bound for k-Set Agreement
: Weprove tight bounds on the time needed to solve k-set agreement, a natural generalization of consensus. We analyze this problem in a synchronous, message-passing model where pro...
Soma Chaudhuri, Maurice Herlihy, Nancy A. Lynch, M...