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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Attacks on RSA based on lattice reduction
 Vaněček, Jaromír ; Příhoda, Pavel (advisor) ; Jedlička, Přemysl (referee)
This thesis aims to describe in detail the Coppersmith's algorithm for fin- ding small solutions to polynomial congruences which is based on lattice basis reduction. This algorithm is a cornerstone of several attacks on the most wi- despread asymmetric cryptosystem RSA, therefore, next aim of the thesis is a description of selected attacks. As an important and current example, we can mention so-called ROCA attack which factorizes RSA modulus whenever the pri- mes are specifically crafted. At the end of the thesis, we implement both the Coppersmith's algorithm and the ROCA and several measurements and experi- ments are done. From the resulting data, one can deduce how the running time of the algorithm is affected by different parameters or what are the ideal values for these parameters in various situations. 1
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How Google works
 Vaněček, Jaromír ; Tůma, Jiří (advisor) ; Barto, Libor (referee)
This thesis deals with the web search engine Google, particularly the way how searched pages are ordered and with the application of this process in different areas. First, we briefly introduce how a web search engine works, create the Google matrix and show principle of the PageRank algorithm. Then, in the completely mathematical section of the work, we describe the mathematical theory supporting our statements including Perron's theorem. The next section is concerned with how to use PageRank to compare teams in football Synot league. In the end few simple observations on how different facts in the web's hyperlink structure influence the Google matrix will be described. Powered by TCPDF (www.tcpdf.org)
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See also: similar author names
4 VANĚČEK, Jan
1 VANĚČEK, Jaroslav
3 Vaněček, Jakub
4 Vaněček, Jan
1 Vaněček, Jiří
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