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EUROCRYPT
2001
Springer
15 years 2 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
15 years 3 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»
14 years 9 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
15 years 4 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»
14 years 9 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