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EUROCRYPT
2001
Springer
13 years 9 months ago
New Method for Upper Bounding the Maximum Average Linear Hull Probability for SPNs
Abstract. We present a new algorithm for upper bounding the maximum average linear hull probability for SPNs, a value required to determine provable security against linear cryptan...
Liam Keliher, Henk Meijer, Stafford E. Tavares
STACS
2007
Springer
13 years 11 months ago
A New Rank Technique for Formula Size Lower Bounds
We exactly determine the formula size of the parity function. If n = 2 + k, where 0 ≤ k < 2 , then the formula size of parity on n bits is 2 (2 + 3k) = n2 + k2 − k2 . Khrap...
Troy Lee
SIAMJO
2002
96views more  SIAMJO 2002»
13 years 4 months ago
A New Efficient Large-Update Primal-Dual Interior-Point Method Based on a Finite Barrier
We introduce a new barrier function which is not a barrier function in the usual sense: it has finite value at the boundary of the feasible region. Despite this, its iteration bou...
Y. Q. Bai, Mohamed El Ghami, Cees Roos
STACS
2009
Springer
13 years 11 months ago
A Stronger LP Bound for Formula Size Lower Bounds via Clique Constraints
We introduce a new technique proving formula size lower bounds based on the linear programming bound originally introduced by Karchmer, Kushilevitz and Nisan [11] and the theory of...
Kenya Ueno
IPL
2000
98views more  IPL 2000»
13 years 4 months ago
Linear complexity of the Naor-Reingold pseudo-random function
We obtain an exponential lower bound on the non-linear complexity of the new pseudo-random function, introduced recently by M. Naor and O. Reingold. This bound is an extension of t...
Igor Shparlinski