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DLT
2009
14 years 7 months ago
On the Complexity of Hmelevskii's Theorem and Satisfiability of Three Unknown Equations
Abstract. We analyze Hmelevskii's theorem, which states that the general solutions of constant-free equations on three unknowns are expressible by a finite collection of formu...
Aleksi Saarela
TCC
2009
Springer
169views Cryptology» more  TCC 2009»
15 years 10 months ago
Goldreich's One-Way Function Candidate and Myopic Backtracking Algorithms
Abstract. Goldreich (ECCC 2000) proposed a candidate one-way function construction which is parameterized by the choice of a small predicate (over d = O(1) variables) and of a bipa...
James Cook, Omid Etesami, Rachel Miller, Luca Trev...
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
13 years 8 days ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh
STRINGOLOGY
2008
14 years 11 months ago
Usefulness of Directed Acyclic Subword Graphs in Problems Related to Standard Sturmian Words
The class of finite Sturmian words consists of words having particularly simple compressed representation, which is a generalization of the Fibonacci recurrence for Fibonacci word...
Pawel Baturo, Marcin Piatkowski, Wojciech Rytter
TC
2008
14 years 9 months ago
Low-Complexity Bit-Parallel Square Root Computation over GF(2^{m}) for All Trinomials
In this contribution we introduce a low-complexity bit-parallel algorithm for computing square roots over binary extension fields. Our proposed method can be applied for any type ...
Francisco Rodríguez-Henríquez, Guill...