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crypto/rsa: port PrivateKey.Validate to bigmod, add validations #70236

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@derekparker derekparker commented Nov 7, 2024

This patch ports the implementation of PrivateKey.Validate to use the
bigmod math library, ensuring that the arithmetic operations happen in
constant time. A few new APIs have been added to bigmod to add
operations which don't explicitly require modulus arithmetic, but do
take the modulus size into account to ensure we don't leak any
non-public information.

In addition to porting this routine to use bigmod this patch also adds a
few more steps to the validation as defined by NIST SP 800-56B REV. 2
Section 6.4.1.4.3.

There is a significant performance hit in validation, mostly due to the
pairwise consistency test m=(m^e)^d mod n, however not much
time has been spent on optimization and this may be able to be
improved.

For #69536

This patch ports the implementation of PrivateKey.Validate to use the
bigmod math library, ensuring that the arithmetic operations happen in
constant time. A few new APIs have been added to bigmod to add
operations which don't explicitly require modulus arithmetic, but do
take the modulus size into account to ensure we don't leak any
non-public information.

In addition to porting this routine to use bigmod this patch also adds a
few more steps to the validation as defined by NIST SP 800-56B REV. 2
Section 6.4.1.4.3.

For golang#69536
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This PR (HEAD: 570721d) has been imported to Gerrit for code review.

Please visit Gerrit at https://go-review.googlesource.com/c/go/+/626175.

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This PR (HEAD: 082ff9e) has been imported to Gerrit for code review.

Please visit Gerrit at https://go-review.googlesource.com/c/go/+/626175.

Important tips:

  • Don't comment on this PR. All discussion takes place in Gerrit.
  • You need a Gmail or other Google account to log in to Gerrit.
  • To change your code in response to feedback:
    • Push a new commit to the branch used by your GitHub PR.
    • A new "patch set" will then appear in Gerrit.
    • Respond to each comment by marking as Done in Gerrit if implemented as suggested. You can alternatively write a reply.
    • Critical: you must click the blue Reply button near the top to publish your Gerrit responses.
    • Multiple commits in the PR will be squashed by GerritBot.
  • The title and description of the GitHub PR are used to construct the final commit message.
    • Edit these as needed via the GitHub web interface (not via Gerrit or git).
    • You should word wrap the PR description at ~76 characters unless you need longer lines (e.g., for tables or URLs).
  • See the Sending a change via GitHub and Reviews sections of the Contribution Guide as well as the FAQ for details.

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