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CORR
2006
Springer
87views Education» more  CORR 2006»
13 years 4 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 4 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
13 years 8 months 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»
12 years 11 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»
13 years 10 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