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PKC
2007
Springer
100views Cryptology» more  PKC 2007»
15 years 4 months ago
Multi-bit Cryptosystems Based on Lattice Problems
Abstract. We propose multi-bit versions of several single-bit cryptosystems based on lattice problems, the error-free version of the Ajtai-Dwork cryptosystem by Goldreich, Goldwass...
Akinori Kawachi, Keisuke Tanaka, Keita Xagawa
STOC
2007
ACM
84views Algorithms» more  STOC 2007»
15 years 10 months ago
Lower bounds in communication complexity based on factorization norms
We introduce a new method to derive lower bounds on randomized and quantum communication complexity. Our method is based on factorization norms, a notion from Banach Space theory....
Nati Linial, Adi Shraibman
STOC
2007
ACM
169views Algorithms» more  STOC 2007»
15 years 10 months ago
Proportional response dynamics leads to market equilibrium
One of the main reasons of the recent success of peer to peer (P2P) file sharing systems such as BitTorrent is its built-in tit-for-tat mechanism. In this paper, we model the band...
Fang Wu, Li Zhang
STOC
2007
ACM
132views Algorithms» more  STOC 2007»
15 years 10 months ago
On the convergence of Newton's method for monotone systems of polynomial equations
Monotone systems of polynomial equations (MSPEs) are systems of fixed-point equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomial with p...
Stefan Kiefer, Michael Luttenberger, Javier Esparz...
STOC
2007
ACM
101views Algorithms» more  STOC 2007»
15 years 10 months ago
Toward a general theory of quantum games
We study properties of quantum strategies, which are complete specifications of a given party's actions in any multiple-round interaction involving the exchange of quantum in...
Gus Gutoski, John Watrous