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5.1

The environment the factorization scheme assumes

ISO/IEC DIS 9798-5 · Mechanisms based on integer factorization · replaced

The environmental clause for this family fixes the domain parameters, the modulus construction, the basic numbers and the trust path by which a verifier learns the claimant parameters. The assumptions are similar to the identity family, but the modulus and the basic numbers carry more of the security.

What it asks
Evidence the domain parameter distribution, the modulus construction and the basic number selection, and show how a verifier obtains an authentic copy of the claimant parameters. Where the modulus is shared across a domain, record who can use the factors and for what.
What the revision does
The fourth edition will restate these conditions. The public record does not give the new wording, so the 2009 conditions are the baseline on this page. The 2009 wording is therefore superseded at publication.
Who it binds
The domain authority, the verifier operator and the key management owner.
Evidence an auditor samples
  • The domain parameter set and its distribution record (cryptography standard)
  • The modulus construction record, with factor custody (key management)
  • The basic number selection and its justification (design note)
  • The authentic claimant parameter path to the verifier (architecture)
The test you can run
Pick a verifier and trace the claimant parameters back to their source. If the trace ends at a manual copy, the trust path is undocumented.
Common failures
  • The basic numbers are chosen once and never reviewed against the modulus.
  • A shared modulus has no record of who may use the factors.
How to close it
Draw the trust path for one deployment and put a date and an owner on each hop. The drawing is the evidence an assessor will ask for, and it exposes the manual copy that nobody owns. Start with the domain parameter set and its distribution record and let the row close when it exists with a date and a named holder.
Where it sits against the 2009 edition
The 2009 edition carries 5.1, and the fourth edition replaces it. The public record does not give the new wording, so this page records the obligation that stands today and the question the revision has to answer.

For the file, this row closes when the domain parameter set and its distribution record exists with a date, a named holder and a pointer, and when the test above has been run and recorded. The domain authority, the verifier operator and the key management owner. owns that answer for 5.1.