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COCO
1999
Springer
101views Algorithms» more  COCO 1999»
13 years 11 months ago
A Lower Bound for Primality
Recent work by Bernasconi, Damm and Shparlinski showed that the set of square-free numbers is not in AC0 , and raised as an open question whether similar (or stronger) lower bound...
Eric Allender, Michael E. Saks, Igor Shparlinski
STOC
1996
ACM
100views Algorithms» more  STOC 1996»
13 years 11 months ago
The Linear-Array Conjecture in Communication Complexity is False
A linear array network consists of k + 1 processors P0; P1; : : : ; Pk with links only between Pi and Pi+1 0 i k. It is required to compute some boolean function f x; y in this n...
Eyal Kushilevitz, Nathan Linial, Rafail Ostrovsky
CORR
2006
Springer
97views Education» more  CORR 2006»
13 years 7 months ago
The one-way communication complexity of the Boolean Hidden Matching Problem
We give a tight lower bound of ( n) for the randomized one-way communication complexity of the Boolean Hidden Matching Problem [BJK04]. Since there is a quantum one-way communica...
Iordanis Kerenidis, Ran Raz
COCOON
2009
Springer
14 years 2 months ago
Limits to List Decoding Random Codes
It has been known since [Zyablov and Pinsker 1982] that a random q-ary code of rate 1 − Hq(ρ) − ε (where 0 < ρ < 1 − 1/q, ε > 0 and Hq(·) is the q-ary entropy ...
Atri Rudra
EUROCRYPT
2001
Springer
13 years 12 months ago
New Method for Upper Bounding the Maximum Average Linear Hull Probability for SPNs
Abstract. We present a new algorithm for upper bounding the maximum average linear hull probability for SPNs, a value required to determine provable security against linear cryptan...
Liam Keliher, Henk Meijer, Stafford E. Tavares