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Titlebook: Number-Theoretic Methods in Cryptology; First International Jerzy Kaczorowski,Josef Pieprzyk,Jacek Pomykała Conference proceedings 2018 Sp

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Conference proceedings 2018iewed and selected from 32 initial submissions. The papers are organized in topical sections on elliptic curves in cryptography; public-key cryptography; lattices in cryptography; number theory; pseudorandomness; and algebraic structures and analysis..
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A Crossbred Algorithm for Solving Boolean Polynomial Systemshm and show that it outperforms previously known methods in a wide range of relevant parameters. In particular, the first named author has been able to solve all the Fukuoka Type I MQ challenges, culminating with the resolution of a system of 148 quadratic equations in 74 variables in less than a day (and with a lot of luck).
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Short Solutions to Nonlinear Systems of Equations, and as a result SSNE admits shorter representations of equally hard problems. We show that SSNE can be used as the basis for a provably secure hash function. Despite failing to find public key cryptosystems relying on SSNE, we remain hopeful about that possibility.
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0302-9743 ogy,  NuTMiC 2017, held in Warsaw, Poland, in September 2017..The 15 revised full papers presented in this book together with 3 invited talks were carefully reviewed and selected from 32 initial submissions. The papers are organized in topical sections on elliptic curves in cryptography; public-key
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