NDLI: *Algorithms for Factoring and Computing Discrete Loga- rithms

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*Algorithms for Factoring and Computing Discrete Loga- rithms

Content Provider	Scilit
Author	Katz, Jonathan Lindell, Yehuda
Copyright Year	2014
Description	In the last chapter, we introduced several number-theoretic problems-most prominently, factoring the product of two large primes and computing discrete logarithms in certain groups-that are widely believed to be hard. As defined there, this means there are presumed to be no polynomial-time algorithms for these problems. This asymptotic notion of hardness, however, tells us little about how to set the security parameter-sometimes called the key length, although the terms are not interchangeable-to achieve some desired, concrete level of security in practice. A proper understanding of this issue is extremely important for the real-world deployment of cryptosystems based on these problems. Setting the security parameter too low means a cryptosystem may be vulnerable to attacks more efficient than anticipated; being overly conservative and setting the security parameter too high will give good security, but at the expense of efficiency for the honest users. The relative difficulty of different number-theoretic problems can also play a role in determining which problems to use as the basis for building cryptosystems in the first place. Book Name: Introduction to Modern Cryptography
Related Links	https://content.taylorfrancis.com/books/download?dac=C2012-0-07206-0&isbn=9780429101489&doi=10.1201/b17668-15&format=pdf
Ending Page	378
Page Count	18
Starting Page	361
DOI	10.1201/b17668-15
Language	English
Publisher	Informa UK Limited
Publisher Date	2014-11-06
Access Restriction	Open
Subject Keyword	Book Name: Introduction To Modern Cryptography Hardness Discrete Building Computing Cryptosystems Extremely Security Parameter Number Theoretic Theoretic Problems
Content Type	Text
Resource Type	Chapter

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