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» The Complexity of the Annihilating Polynomial
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FSTTCS
1992
Springer
15 years 10 months ago
On Bounded Truth-Table, Conjunctive, and Randomized Reductions to Sparse Sets
In this paper we study the consequences of the existence of sparse hard sets for NP and other complexity classes under certain types of deterministic, randomized, and nondetermini...
Vikraman Arvind, Johannes Köbler, Martin Mund...
ECCC
1998
105views more  ECCC 1998»
15 years 6 months ago
Pseudorandom generators without the XOR Lemma
Impagliazzo and Wigderson IW97] have recently shown that if there exists a decision problem solvable in time 2O(n) and having circuit complexity 2 (n) (for all but nitely many n) ...
Madhu Sudan, Luca Trevisan, Salil P. Vadhan
FOSSACS
2011
Springer
14 years 10 months ago
Minimizing Deterministic Lattice Automata
Traditional automata accept or reject their input, and are therefore Boolean. In contrast, weighted automata map each word to a value from a semiring over a large domain. The speci...
Shulamit Halamish, Orna Kupferman
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
16 years 6 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
DCC
2002
IEEE
16 years 6 months ago
Itoh-Tsujii Inversion in Standard Basis and Its Application in Cryptography and Codes
This contribution is concerned with a generalization of Itoh and Tsujii's algorithm for inversion in extension fields GF(qm ). Unlike the original algorithm, the method introd...
Jorge Guajardo, Christof Paar