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CORR
2007
Springer
105views Education» more  CORR 2007»
15 years 20 days ago
Finding low-weight polynomial multiples using discrete logarithm
— Finding low-weight multiples of a binary polynomial is a difficult problem arising in the context of stream ciphers cryptanalysis. The best algorithms to solve this problem ar...
Frédéric Didier, Yann Laigle-Chapuy
TCS
2011
14 years 7 months ago
Dynamic normal forms and dynamic characteristic polynomial
Abstract. We present the first fully dynamic algorithm for computing the characteristic polynomial of a matrix. In the generic symmetric case our algorithm supports rank-one updat...
Gudmund Skovbjerg Frandsen, Piotr Sankowski
FOCS
1999
IEEE
15 years 5 months ago
Hardness of Approximating the Minimum Distance of a Linear Code
We show that the minimum distance of a linear code is not approximable to within any constant factor in random polynomial time (RP), unless nondeterministic polynomial time (NP) eq...
Ilya Dumer, Daniele Micciancio, Madhu Sudan
SODA
2012
ACM
218views Algorithms» more  SODA 2012»
13 years 3 months ago
Linear kernels for (connected) dominating set on H-minor-free graphs
We give the first linear kernels for DOMINATING SET and CONNECTED DOMINATING SET problems on graphs excluding a fixed graph H as a minor. In other words, we give polynomial time...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...
IPL
2002
86views more  IPL 2002»
15 years 11 days ago
A polynomial algorithm for lot-size scheduling of two type tasks
We study the problem of scheduling unit time tasks of two types on m parallel identical machines. For each type, given numbers of tasks are required to be completed by the specifi...
Mikhail Y. Kovalyov, Marcus Pattloch, Günter ...