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DCC
2011
IEEE
13 years 2 months ago
Sparse Boolean equations and circuit lattices
Abstract. A system of Boolean equations is called sparse if each equation depends on a small number of variables. Finding efficiently solutions to the system is an underlying hard ...
Igor Semaev
DCC
2011
IEEE
13 years 2 months ago
Accurate estimates of the data complexity and success probability for various cryptanalyses
Abstract Many attacks on encryption schemes rely on statistical considerations using plaintext/ciphertext pairs to find some information on the key. We provide here simple formula...
Céline Blondeau, Benoît Gérard...
DCC
2011
IEEE
13 years 2 months ago
On the correlation distribution of Delsarte-Goethals sequences
For odd integer m ≥ 3 and t = 0, 1, . . . , m−1 2 , we define Family V (t) to be a set of size 2m(t+1) containing binary sequences of period 2m+1 − 2. The nontrivial correl...
Kai-Uwe Schmidt
DCC
2011
IEEE
13 years 2 months ago
Primitive polynomials, singer cycles and word-oriented linear feedback shift registers
Using the structure of Singer cycles in general linear groups, we prove that a conjecture of Zeng, Han and He (2007) holds in the affirmative in a special case, and outline a plaus...
Sudhir R. Ghorpade, Sartaj Ul Hasan, Meena Kumari
DCC
2011
IEEE
13 years 1 months ago
Tree Structure Compression with RePair
Larsson and Moffat’s RePair algorithm is generalized from strings to trees. The new algorithm (TreeRePair) produces straight-line linear context-free tree (SLT) grammars which a...
Markus Lohrey, Sebastian Maneth, Roy Mennicke