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TC
1998
13 years 9 months ago
A New Representation of Elements of Finite Fields GF(2m) Yielding Small Complexity Arithmetic Circuits
—Let F2 denote the binary field and F 2 m an algebraic extension of degree m > 1 over F2 . Traditionally, elements of F 2 m are either represented as powers of a primitive ele...
Germain Drolet
IANDC
2010
79views more  IANDC 2010»
13 years 8 months ago
Complexity of deciding bisimilarity between normed BPA and normed BPP
We present a polynomial-time algorithm deciding bisimilarity between a normed BPA process and a normed BPP process, with running time O(n7 ). This improves the previously known ex...
Petr Jancar, Martin Kot, Zdenek Sawa
PKC
2012
Springer
234views Cryptology» more  PKC 2012»
12 years 13 days ago
Ring-LWE in Polynomial Rings
Abstract. The Ring-LWE problem, introduced by Lyubashevsky, Peikert, and Regev (Eurocrypt 2010), has been steadily finding many uses in numerous cryptographic applications. Still,...
Léo Ducas, Alain Durmus
POPL
2012
ACM
12 years 5 months ago
Sound predictive race detection in polynomial time
Data races are among the most reliable indicators of programming errors in concurrent software. For at least two decades, Lamport’s happens-before (HB) relation has served as th...
Yannis Smaragdakis, Jacob Evans, Caitlin Sadowski,...
VMCAI
2005
Springer
14 years 3 months ago
On the Complexity of Error Explanation
When a system fails to satisfy its specification, the model checker produces an error trace (or counter-example) that demonstrates an undesirable behavior, which is then used in d...
Nirman Kumar, Viraj Kumar, Mahesh Viswanathan