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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
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
LCPC
2004
Springer
15 years 3 months ago
Empirical Performance-Model Driven Data Layout Optimization
Abstract. Empirical optimizers like ATLAS have been very effective in optimizing computational kernels in libraries. The best choice of parameters such as tile size and degree of l...
Qingda Lu, Xiaoyang Gao, Sriram Krishnamoorthy, Ge...
DCC
2001
IEEE
15 years 9 months ago
The Invariants of the Clifford Groups
The automorphism group of the Barnes-Wall lattice Lm in dimension 2m (m = 3) is a subgroup of index 2 in a certain "Clifford group" Cm of structure 21+2m + .O+ (2m, 2). ...
Gabriele Nebe, Eric M. Rains, Neil J. A. Sloane
ASIACRYPT
2009
Springer
15 years 4 months ago
Security Bounds for the Design of Code-Based Cryptosystems
Code-based cryptography is often viewed as an interesting “Post-Quantum” alternative to the classical number theory cryptography. Unlike many other such alternatives, it has th...
Matthieu Finiasz, Nicolas Sendrier