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STOC
1999
ACM
176views Algorithms» more  STOC 1999»
14 years 4 days ago
On the Complexity of Computing Short Linearly Independent Vectors and Short Bases in a Lattice
Motivated by Ajtai’s worst-case to average-case reduction for lattice problems, we study the complexity of computing short linearly independent vectors (short basis) in a lattic...
Johannes Blömer, Jean-Pierre Seifert
EUROCRYPT
1987
Springer
13 years 11 months ago
Sequences With Almost Perfect Linear Complexity Profile
Sequences with almost perfect linear complexity profile are defined by H. Niederreiter[4]. C.P. Xing and K.Y. Lam[5, 6] extended this concept from the case of single sequences to ...
Harald Niederreiter
LICS
2002
IEEE
14 years 23 days ago
The Proof Complexity of Linear Algebra
We introduce three formal theories of increasing strength for linear algebra in order to study the complexity of the concepts needed to prove the basic theorems of the subject. We...
Michael Soltys, Stephen A. Cook
IPL
2000
98views more  IPL 2000»
13 years 7 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
COMPGEOM
2003
ACM
14 years 1 months ago
Morse-smale complexes for piecewise linear 3-manifolds
We define the Morse-Smale complex of a Morse function over a 3-manifold as the overlay of the descending and ascending manifolds of all critical points. In the generic case, its ...
Herbert Edelsbrunner, John Harer, Vijay Natarajan,...