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DCC
2011
IEEE
12 years 12 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
12 years 12 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
12 years 12 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
12 years 12 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
12 years 11 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