RFC 9618: Updates to X.509 Policy Validation
- D. Benjamin
Abstract
This document updates RFC 5280 to replace the algorithm for
X.509 policy validation with an equivalent, more efficient algorithm. The
original algorithm built a structure that scaled exponentially in the
worst case, leaving implementations vulnerable to denial
Status of This Memo
This is an Internet Standards Track document.¶
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1. Introduction
[RFC5280] defines a suite of extensions for determining the policies that apply to a certification path. A policy is described by an object identifier (OID) and a set of optional qualifiers.¶
Policy validation in [RFC5280] is complex. As an overview, the certificate policies extension (Section 4.2.1.4 of [RFC5280]) describes the policies, with optional qualifiers, under which an individual certificate was issued. The policy mappings extension (Section 4.2.1.5 of [RFC5280]) allows a CA certificate to map its policy OIDs to other policy OIDs in certificates that it issues. Subject to these mappings and other extensions, the certification path's overall policy set is the intersection of policies asserted by each certificate in the path.¶
The procedure in Section 6.1 of [RFC5280] determines this set in the course of certification
path validation. It does so by building a policy tree containing
policies asserted by each certificate and the mappings between
them. This tree can grow exponentially in the depth of the certification
path, which means an attacker, with a small input, can cause a path
validator to consume excessive memory and computational resources. This
cost asymmetry can lead to a denial
Section 3 describes this vulnerability. Section 4.1 describes the primary mitigation for this vulnerability, a replacement for the policy tree structure. Section 5 provides updates to [RFC5280] that implement this change. Finally, Section 6 discusses alternative mitigation strategies for X.509 applications.¶
1.1. Summary of Changes from RFC 5280
The algorithm for processing certificate policies and policy mappings is replaced with one that builds an equivalent but much more efficient structure. This new algorithm does not change the validity status of any certification path or which certificate policies are valid for it.¶
2. Conventions and Definitions
The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in BCP 14 [RFC2119] [RFC8174] when, and only when, they appear in all capitals, as shown here.¶
3. Denial-of-Service Vulnerability
This section discusses how the path validation algorithm defined in
Section 6.1.2 of [RFC5280] can lead to a denial
3.1. Policy Trees
Section 6.1.2 of [RFC5280]
constructs the valid, a tree of certificate
policies, during certification path validation. The nodes at any
given depth in the tree correspond to policies asserted by a
certificate in the certification path. A node's parent policy is the
policy in the issuer certificate that was mapped to this policy, and a
node's children are the policies the node was mapped to in the subject
certificate.¶
For example, suppose a certification path contains:¶
This would result in the tree shown below. Note that OID5 and OID6 are not included or mapped across the whole path, so they do not appear in the final structure.¶
The complete algorithm for building this structure is described in steps (d), (e), and (f) in Section 6.1.3 of [RFC5280]; steps (h), (i), and (j) in Section 6.1.4 of [RFC5280]; and steps (a), (b), and (g) in Section 6.1.5 of [RFC5280].¶
3.2. Exponential Growth
The valid grows exponentially in the worst
case. In step (d.1) in Section 6.1.3 of [RFC5280], a single policy P can produce multiple child nodes
if multiple issuer policies map to P. This can cause the tree size to
increase in size multiplicativel
In particular, consider a certificate chain where every intermediate certificate asserts policies OID1 and OID2 and then contains the full Cartesian product of mappings:¶
At each depth, the tree would double in size. For example, if there are two intermediate certificates and one end-entity certificate, the resulting tree would be as depicted in Figure 1.¶
3.3. Attack Vector
An attacker can use the exponential growth to mount a
denial
4. Avoiding Exponential Growth
This document mitigates the denial
X.509 implementations SHOULD perform policy validation
by building a policy graph, following the procedure described in Section 5. This replacement procedure computes the same
policies as in [RFC5280], but one of the outputs is in a
different form. See Section 4.2 for details. Section 6 describes alternative mitigations for
implementations that depend on the original, exponential
4.1. Policy Graphs
The tree structure in [RFC5280] is an unnecessarily inefficient representation of a certification path's policy mappings. When multiple issuer policies map to a single subject policy, the subject policy will correspond to multiple duplicate nodes in the policy tree. Children of the subject policy are then duplicated recursively. This duplication is the source of the exponential growth described in Section 3.2.¶
A policy graph represents the same information with a directed acyclic graph of policy nodes. It eliminates this duplication by using a single node with multiple parents. See Section 5 for the procedure for building this structure. Figure 2 shows the updated representation of the example in Figure 1.¶
This graph's size is bounded linearly by the total number of certificate policies (Section 4.2.1.4 of [RFC5280]) and policy mappings (Section 4.2.1.5 of [RFC5280]). The policy tree in [RFC5280] is the tree of all paths from the root to a leaf in the policy graph, so no information is lost in the graph representation.¶
4.2. Verification Outputs
Section 6.1.6 of [RFC5280]
describes the entire valid structure as an output
of the verification process. However, Section 12.2 of [X.509] only describes the following as outputs: the
authorities
As the valid is the exponential structure,
computing it reintroduces the denialvalid structure; instead, they
SHOULD limit output to just the set of
authorities
X.509 implementations MAY omit policy qualifiers from the output to simplify processing. Note that Section 4.2.1.4 of [RFC5280] already recommends that certification authorities omit policy qualifiers from policy information terms.¶
5. Updates to RFC 5280
This section provides updates to [RFC5280]. These updates implement the changes described in Section 4.¶
5.1. Updates to Section 6.1
Section 6.1 of [RFC5280] is updated as follows:¶
OLD:¶
A particular certification path may not, however, be appropriate for all applications. Therefore, an application MAY augment this algorithm to further limit the set of valid paths. The path validation process also determines the set of certificate policies that are valid for this path, based on the certificate policies extension, policy mappings extension, policy constraints extension, and inhibit anyPolicy extension. To achieve this, the path validation algorithm constructs a valid policy tree. If the set of certificate policies that are valid for this path is not empty, then the result will be a valid policy tree of depth n, otherwise the result will be a null valid policy tree.¶
NEW:¶
A particular certification path may not, however, be appropriate for all applications. Therefore, an application MAY augment this algorithm to further limit the set of valid paths. The path validation process also determines the set of certificate policies that are valid for this path, based on the certificate policies extension, policy mappings extension, policy constraints extension, and inhibit anyPolicy extension. To achieve this, the path validation algorithm constructs a valid policy set, which may be empty if no certificate policies are valid for this path.¶
5.2. Updates to Section 6.1.2
The following replaces entry (a) in Section 6.1.2 of [RFC5280]:¶
- (a)
valid: A directed acyclic graph of certificate policies with their optional qualifiers; each of the leaves of the graph represents a valid policy at this stage in the certification path validation. If valid policies exist at this stage in the certification path validation, the depth of the graph is equal to the number of certificates in the chain that have been processed. If valid policies do not exist at this stage in the certification path validation, the graph is set to NULL. Once the graph is set to NULL, policy processing ceases. Implementations MAY omit qualifiers if not returned in the output.¶_policy _graph Each node in the
validincludes three data objects: the valid policy, a set of associated policy qualifiers, and a set of one or more expected policy values.¶_policy _graph Nodes in the graph can be divided into depths, numbered starting from zero. A node at depth x can have zero or more children at depth x+1 and, with the exception of depth zero, one or more parents at depth x-1. No other edges between nodes may exist.¶
If the node is at depth x, the components of the node have the following semantics:¶
- (1)
The
valid_policyis a single policy OID representing a valid policy for the path of length x.¶- (2)
The
qualifier_setis a set of policy qualifiers associated with the valid policy in certificate x. It is only necessary to maintain this field if policy qualifiers are returned to the application. See Section 6.1.5, step (g).¶- (3)
The
expectedcontains one or more policy OIDs that would satisfy this policy in the certificate x+1.¶_policy _set The initial value of the
validis a single node with_policy _graph valid_policyanyPolicy, an emptyqualifier_set, and anexpectedwith the single value anyPolicy. This node is considered to be at depth zero.¶_policy _set The graph additionally satisfies the following invariants:¶
Figure 3 is a graphic representation of the initial state of the
valid. Additional figures will use this format to describe changes in the_policy _graph validduring path processing.¶_policy _graph
5.3. Updates to Section 6.1.3
The following replaces steps (d), (e), and (f) in Section 6.1.3 of [RFC5280]:¶
- (d)
If the certificate policies extension is present in the certificate and the
validis not NULL, process the policy information by performing the following steps in order:¶_policy _graph
- (1)
For each policy P not equal to anyPolicy in the certificate policies extension, let P-OID denote the OID for policy P and P-Q denote the qualifier set for policy P. Perform the following steps in order:¶
- (i)
Let
parent_nodesbe the nodes at depth i-1 in thevalidwhere P-OID is in the_policy _graph expected. If_policy _set parent_nodesis not empty, create a child node as follows: set thevalid_policyto P-OID, set thequalifier_setto P-Q, set theexpectedto {P-OID}, and set the parent nodes to_policy _set parent_nodes.¶For example, consider a
validwith a node of depth i-1 where the_policy _graph expectedis {Gold, White} and a second node where the_policy _set expectedis {Gold, Yellow}. Assume the certificate policies Gold and Silver appear in the certificate policies extension of certificate i. The Gold policy is matched, but the Silver policy is not. This rule will generate a child node of depth i for the Gold policy. The result is shown as Figure 4.¶_policy _set - (ii)
If there was no match in step (i) and the
validincludes a node of depth i-1 with the_policy _graph valid_policyanyPolicy, generate a child node with the following values: set thevalid_policyto P-OID, set thequalifier_setto P-Q, set theexpectedto {P-OID}, and set the parent node to the anyPolicy node at depth i-1.¶_policy _set For example, consider a
validwith a node of depth i-1 where the_policy _graph valid_policyis anyPolicy. Assume the certificate policies Gold and Silver appear in the certificate policies extension of certificate i. The Gold policy does not have a qualifier, but the Silver policy has the qualifier Q-Silver. If Gold and Silver were not matched in (i) above, this rule will generate two child nodes of depth i, one for each policy. The result is shown as Figure 5.¶- (2)
If the certificate policies extension includes the policy anyPolicy with the qualifier set AP-Q and either (a)
inhibitis greater than 0 or (b) i<n and the certificate is self-issued, then:¶_any Policy For each policy OID P-OID (including anyPolicy) that appears in the
expectedof some node in the_policy _set validfor depth i-1, if P-OID does not appear as the_policy _graph valid_policyof some node at depth i, create a single child node with the following values: set thevalid_policyto P-OID, set thequalifier_setto AP-Q, set theexpectedto {P-OID}, and set the parents to the nodes at depth i-1 where P-OID appears in_policy _set expected.¶_policy _set This is equivalent to running step (1) above as if the certificate policies extension contained a policy with OID P-OID and qualifier set AP-Q.¶
For example, consider a
validwith a node of depth i-1 where the_policy _graph expectedis {Gold, Silver} and a second node of depth i-1 where the_policy _set expectedis {Gold}. Assume anyPolicy appears in the certificate policies extension of certificate i with policy qualifiers AP-Q, but Gold and Silver do not appear. This rule will generate two child nodes of depth i, one for each policy. The result is shown below as Figure 6.¶_policy _set - (3)
If there is a node in the
validof depth i-1 or less without any child nodes, delete that node. Repeat this step until there are no nodes of depth i-1 or less without children.¶_policy _graph For example, consider the
validshown in Figure 7 below. The two nodes at depth i-1 that are marked with an 'X' have no children, and they are deleted. Applying this rule to the resulting graph will cause the nodes at depth i-2 that is marked with a 'Y' to be deleted. In the resulting graph, there are no nodes of depth i-1 or less without children, and this step is complete.¶_policy _graph - (e)
If the certificate policies extension is not present, set the
validto NULL.¶_policy _graph - (f)
Verify that either
explicit_policyis greater than 0 or thevalidis not equal to NULL.¶_policy _graph
The text following step (f) in Section 6.1.3 of [RFC5280], beginning with "If any of steps (a), (b), (c), or (f) fails", is left unmodified.¶
5.4. Updates to Section 6.1.4
The following replaces step (b) in Section 6.1.4 of [RFC5280]:¶
- (b)
If a policy mappings extension is present, then for each issuer
Domain Policy ID-P in the policy mappings extension:¶
- (1)
If the
policy_mappingvariable is greater than 0 and there is a node in thevalidof depth i where ID-P is the_policy _graph valid_policy, setexpectedto the set of subject_policy _set Domain Policy values that are specified as equivalent to ID-P by the policy mappings extension.¶ - (2)
If the
policy_mappingvariable is greater than 0 and no node of depth i in thevalidhas a_policy _graph valid_policyof ID-P but there is a node of depth i with avalid_policyof anyPolicy, then generate a child node of the node of depth i-1 that has avalid_policyof anyPolicy as follows:¶
- (i)
set the
valid_policyto ID-P;¶- (ii)
set the
qualifier_setto the qualifier set of the policy anyPolicy in the certificate policies extension of certificate i; and¶- (iii)
set the
expectedto the set of subject_policy _set Domain Policy values that are specified as equivalent to ID-P by the policy mappings extension.¶ - (3)
If the
policy_mappingvariable is equal to 0:¶
5.5. Updates to Section 6.1.5
The following replaces step (g) in Section 6.1.5 of [RFC5280]:¶
- (g)
Calculate the
useras follows. The_constrained _policy _set useris a set of policy OIDs, along with associated policy qualifiers.¶_constrained _policy _set
- (1)
If the
validis NULL, set_policy _graph validto the empty set.¶_policy _node _set - (2)
If the
validis not NULL, set_policy _graph validto the set of policy nodes whose_policy _node _set valid_policyis not anyPolicy and whose parent list is a single node withvalid_policyof anyPolicy.¶- (3)
If the
validis not NULL and contains a node of depth n with the_policy _graph valid_policyanyPolicy, add it tovalid.¶_policy _node _set - (4)
Compute
authority, a set of policy OIDs and associated qualifiers as follows. For each node in_constrained _policy _set valid:¶_policy _node _set - (5)
Set
userto_constrained _policy _set authority.¶_constrained _policy _set - (6)
If the user
-initial -policy -set is not anyPolicy:¶
- (i)
Remove any elements of
userthat do not appear in user_constrained _policy _set -initial -policy -set .¶ - (ii)
If anyPolicy appears in
authoritywith qualifiers AP-Q, for each OID P-OID in user_constrained _policy _set -initial -policy -set that does not appear in user, add P-OID with qualifiers AP-Q to_constrained _policy _set user.¶_constrained _policy _set
In addition, the final paragraph in Section 6.1.5 of [RFC5280] is updated as follows:¶
OLD:¶
If either (1) the value of
explicit_policyvariable is greater than zero or (2) thevalidis not NULL, then path processing has succeeded.¶_policy _tree
NEW:¶
If either (1) the value of
explicit_policyis greater than zero, or (2) theuseris not empty, then path processing has succeeded.¶_constrained _policy _set
5.6. Updates to Section 6.1.6
The following replaces Section 6.1.6 of [RFC5280]:¶
If path processing succeeds, the procedure terminates, returning a success indication together with the final value of the
user, the_constrained _policy _set working, the_public _key working, and the_public _key _algorithm working.¶_public _key _parameters Note that the original procedure described in [RFC5280] included a
validstructure as part of the output. This structure grows exponentially in the size of the input, so computing it risks denial_policy _tree -of -service vulnerabilities in X.509-based applications, such as [CVE-2023-0464] and [CVE-2023-23524]. Accordingly, this output is deprecated. Computing this structure is NOT RECOMMENDED.¶ An implementation that requires
validfor compatibility with legacy systems may compute it from_policy _tree validby recursively duplicating every multi-parent node. This may be done on-demand when the calling application first requests this output. However, this computation may consume exponential time and memory, so such implementations SHOULD mitigate denial_policy _graph -of -service attacks in other ways, such as by limiting the depth or size of the tree.¶
6. Other Mitigations
X.509 implementations that are unable to switch to the policy graph structure
SHOULD mitigate the denial
6.1. Verify Signatures First
X.509 validators SHOULD verify signatures in certification paths before or in conjunction with policy verification. This limits the attack to entities in control of CA certificates. For some applications, this may be sufficient to mitigate the attack. However, other applications may still be impacted, for example:¶
6.2. Limit Certificate Depth
The policy tree grows exponentially in the depth of a certification path, so limiting the depth and certificate size can mitigate the attack.¶
However, this option may not be viable for all applications. Too
low of a limit may reject existing paths that the application wishes
to accept. Too high of a limit may still admit a denial
6.3. Limit Policy Tree Size
The attack can be mitigated by limiting the number of nodes in the
policy tree and rejecting the certification path if this limit is
reached. This limit should be set high enough to still admit existing
valid certification paths for the application but low enough to no
longer admit a denial
6.4. Inhibit Policy Mapping
If policy mapping is disabled via the initial
To facilitate this mitigation, certificate authorities SHOULD NOT issue certificates with the policy mappings extension (Section 4.2.1.5 of [RFC5280]). Applications maintaining policies for accepted trust anchors are RECOMMENDED to forbid this extension in participating certificate authorities.¶
6.5. Disable Policy Checking
An X.509 validator can mitigate this attack by disabling policy validation entirely. This may be viable for applications that do not require policy validation. In this case, critical policy-related extensions, notably the policy constraints extension (Section 4.2.1.11 of [RFC5280]), MUST be treated as unrecognized extensions as described in Section 4.2 of [RFC5280] and be rejected.¶
7. Security Considerations
Section 3 discusses how the policy
tree algorithm in [RFC5280] can lead to denial
Section 5 replaces this algorithm to avoid this
issue. As discussed in Section 4.1, the new structure
scales linearly with the input. This means input limits in X.509
validators will more naturally bound processing time, thus avoiding
these vulnerabilities
8. IANA Considerations
This document has no IANA actions.¶
9. References
9.1. Normative References
- [RFC2119]
-
Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, DOI 10
.17487 , , <https:///RFC2119 www >..rfc -editor .org /info /rfc2119 - [RFC5280]
-
Cooper, D., Santesson, S., Farrell, S., Boeyen, S., Housley, R., and W. Polk, "Internet X.509 Public Key Infrastructure Certificate and Certificate Revocation List (CRL) Profile", RFC 5280, DOI 10
.17487 , , <https:///RFC5280 www >..rfc -editor .org /info /rfc5280 - [RFC8174]
-
Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words", BCP 14, RFC 8174, DOI 10
.17487 , , <https:///RFC8174 www >..rfc -editor .org /info /rfc8174
9.2. Informative References
- [CVE-2023-0464]
-
CVE, "Excessive Resource Usage Verifying X.509 Policy Constraints", CVE-2023-0464, , <https://
www >..cve .org /CVERecord ?id =CVE -2023 -0464 - [CVE-2023-23524]
-
CVE, "Processing a maliciously crafted certificate may lead to a denial
-of , CVE-2023-23524, , <https://-service" www >..cve .org /CVERecord ?id =CVE -2023 -23524 - [RFC8446]
-
Rescorla, E., "The Transport Layer Security (TLS) Protocol Version 1.3", RFC 8446, DOI 10
.17487 , , <https:///RFC8446 www >..rfc -editor .org /info /rfc8446 - [X.509]
-
ITU-T, "Information technology - Open Systems Interconnection - The Directory: Public-key and attribute certificate frameworks", ITU-T Recommendation X.509, , <https://
www >..itu .int /rec /T -REC -X .509
Acknowledgements
The author thanks Bob Beck, Adam Langley, Matt Mueller, and Ryan Sleevi for many valuable discussions that led to discovering this issue, understanding it, and developing the mitigation. The author also thanks Martin Thomson, Job Snijders, and John Scudder for their review and feedback on this document.¶