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CORR
2006
Springer
87views Education» more  CORR 2006»
13 years 8 months ago
Pseudorandomness and Combinatorial Constructions
Abstract. In combinatorics, the probabilistic method is a very powerful tool to prove the existence of combinatorial objects with interesting and useful properties. Explicit constr...
Luca Trevisan
ECCC
2010
82views more  ECCC 2010»
13 years 8 months ago
Pseudorandom Generators for Combinatorial Checkerboards
We define a combinatorial checkerboard to be a function f : {1, . . . , m}d {1, -1} of the form f(u1, . . . , ud) = d i=1 fi(ui) for some functions fi : {1, . . . , m} {1, -1}. T...
Thomas Watson
FOCS
1996
IEEE
14 years 21 days ago
Discrepancy Sets and Pseudorandom Generators for Combinatorial Rectangles
A common subproblem of DNF approximate counting and derandomizing RL is the discrepancy problem for combinatorial rectangles. We explicitly construct a poly(n)-size sample space t...
Roy Armoni, Michael E. Saks, Avi Wigderson, Shiyu ...
IJNSEC
2010
104views more  IJNSEC 2010»
13 years 3 months ago
Construction of Large Families of Pseudorandom Subsets of the Set {1, 2, ..., N} Using Elliptic Curves
Pseudo-random subsets of the set {1, 2, . . . , N} have many applications in the fields of network security, cryptography and other security issues. Recently, Dartyge and S
Zhixiong Chen, Li Xu, Chenhuang Wu
APPROX
2004
Springer
121views Algorithms» more  APPROX 2004»
14 years 1 months ago
Small Pseudo-random Families of Matrices: Derandomizing Approximate Quantum Encryption
A quantum encryption scheme (also called private quantum channel, or state randomization protocol) is a one-time pad for quantum messages. If two parties share a classical random s...
Andris Ambainis, Adam Smith