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ECCC
2007
144views more  ECCC 2007»
13 years 4 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
PODS
2006
ACM
95views Database» more  PODS 2006»
14 years 4 months ago
Randomized computations on large data sets: tight lower bounds
We study the randomized version of a computation model (introduced in [9, 10]) that restricts random access to external memory and internal memory space. Essentially, this model c...
André Hernich, Martin Grohe, Nicole Schweik...
MFCS
2007
Springer
13 years 10 months ago
Semisimple Algebras of Almost Minimal Rank over the Reals
Abstract. A famous lower bound for the bilinear complexity of the multiplication in associative algebras is the Alder–Strassen bound. Algebras for which this bound is tight are c...
Markus Bläser, Andreas Meyer de Voltaire
FOCS
2006
IEEE
13 years 10 months ago
Explicit Exclusive Set Systems with Applications to Broadcast Encryption
A family of subsets C of [n] def = {1, . . . , n} is (r, t)exclusive if for every S ⊂ [n] of size at least n − r, there exist S1, . . . , St ∈ C with S = S1∪S2∪· · · ...
Craig Gentry, Zulfikar Ramzan, David P. Woodruff
STOC
2004
ACM
121views Algorithms» more  STOC 2004»
14 years 4 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine