Abstract
ISO/IEC 18032:2005 specifies methods for generating and testing prime numbers. Prime numbers are used in various cryptographic algorithms, mainly in asymmetric encryption algorithms and digital signature algorithms.
Firstly, ISO/IEC 18032:2005 specifies methods for testing whether a given number is prime. The testing methods included in ISO/IEC 18032:2005 can be divided into two groups:
- Probabilistic primality tests, which have a small error probability. All probabilistic tests described here may declare a composite to be a prime. One test described here may declare a prime to be composite.
- Deterministic methods, which are guaranteed to give the right verdict. These methods use so-called primality certificates.
Secondly, ISO/IEC 18032:2005 specifies methods to generate prime numbers. Again, both probabilistic and deterministic methods are presented.
General information
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Status: WithdrawnPublication date: 2005-01Stage: Withdrawal of International Standard [95.99]
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Edition: 1Number of pages: 18
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Technical Committee :ISO/IEC JTC 1/SC 27ICS :35.030
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Life cycle
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Now
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Revised by
PublishedISO/IEC 18032:2020