<abstract>This specification defines a protocol for end-to-end encryption in one-to-one chats, as well as group chats where each participant may have multiple clients per account.</abstract>
<p>It is a result of XMPP's federated nature that a message may pass more than just one server. Therefore it is in the users' interest to secure their communication from any intermediate host. End-to-end encryption is an efficient way to protect any data exchanged between sender and receiver against passive and active attackers such as servers and network nodes.</p>
<p>OMEMO is an end-to-end encryption protocol based on the Double Ratchet specified in section <linkurl='#protocol-double_ratchet'>Double Ratchet</link>. It provides the following guarantees under the threat model described in the next section:</p>
<li>Forward Secrecy: Compromised key material does not compromise previous message exchanges.
It has been <linkurl="https://www.cypherpunks.ca/~iang/pubs/dakez-popets18.pdf">demonstrated</link>, that OMEMO provides only weak forward secrecy (it protects the session key only once both parties complete the key exchange).</li>
<li>Break-in Recovery: A session which has been compromised due to leakage of key material recovers from the compromise after a few communication rounds.</li>
<li>Authentication: Every peer is able to authenticate the sender or receiver of a message, even if the details of the authentication process is out-of-scope for this specification.</li>
<li>An attacker has permanent access to your device. In this case, the attacker may extract decrypted messages from the device, eg. from the applications database. If the access is temporary, security will eventually be restored through break-in recovery.</li>
<p>The use case for OMEMO is a situation where the content of a conversation needs to be protected, but where the servers the message passes by can’t be trusted to keep the content of the message secret. For example when information that is under strict embargo needs to passed within an organization and the server administrator is not one of the persons cleared to see the information or when a couple is exchanging intimate messages and they want to avoid leaking of those messages to the server administrator.</p>
<p>The OMEMO protocol protects against passive and active attackers which are able to read, modify, replay, delay and delete messages. The OMEMO protocol does not protect against attackers who rely on metadata and traffic analysis. The quality of the verification of the conversation participants OMEMO identity keys determines the level of protection OMEMO offers.</p>
<di><dt>Bundle</dt><dd>A collection of publicly accessible data used by the X3DH key agreement protocol that can be used to build a session with a device, namely its public IdentityKey, a signed PreKey with corresponding signature, and a list of (single use) PreKeys.</dd></di>
This protocol uses the &doubleratchet; encryption scheme in conjunction with the &x3dh; key agreement protocol. The following section provides detailed technical information about the protocol that should be sufficient to build an implementation of the OMEMO Double Ratchet. Readers who do not intend to build an OMEMO-compatible library can safely skip this section, relevant details are repeated where needed.
The &x3dh; key agreement protocol was specified by Trevor Perrin and Moxie Marlinspike and placed under the public domain. OMEMO uses a modified version of this key agreement protocol with the following parameters/settings:
<di><dt>signed PreKey rotation period</dt><dd>Signed PreKeys SHOULD be rotated periodically once a week to once a month. A faster or slower rotation period should not be required.</dd></di>
<di><dt>time to keep the private key of the old signed PreKey after rotating it</dt><dd>The private key of the old signed PreKey SHOULD be kept for another rotation period as defined above, to account for delayed messages using the old signed PreKey.</dd></di>
<di><dt>number of PreKeys to provide in the bundle</dt><dd>The bundle SHOULD always contain around 100 PreKeys.</dd></di>
<di><dt>minimum number of PreKeys to provide in the bundle</dt><dd>The bundle MUST always contain at least 25 PreKeys.</dd></di>
<di><dt>usage of PeyKeys</dt><dd>All key exchanges MUST use a PreKey, key exchanges that don't use a PreKey MUST be rejected.</dd></di>
<di><dt>associated data</dt><dd>The associated data is created by concatenating the IdentityKeys of Alice and Bob: <tt>AD = Encode(IK_A) || Encode(IK_B)</tt>. <tt>Alice</tt> is the party that <em>actively initiated</em> the key exchange, while <tt>Bob</tt> is the party that <em>passively accepted</em> the key exchange.</dd></di>
<di><dt>XEdDSA</dt><dd>OMEMO does not mandate the usage of &xeddsa; with &x3dh; for the IdentityKey. Instead, there are three simple rules that implementations MUST follow:
<ol>
<li>Implementations must use the birational map between the curves Curve25519 and Ed25519 to convert the public part of the IdentityKey whenever required, as defined in &rfc7748; (on page 5).</li>
<li>Implementations must be able to perform X25519 (ECDH on Curve25519) using the IdentityKey.</li>
<li>Implementations must be able to create EdDSA-compatible signatures on the curve Ed25519 using the IdentityKey.</li>
</ol>
There are essentially two ways in which libraries can fulfill these requirements:
<li>Libraries can use a Curve25519 key pair as their internal IdentityKey. In this case, the IdentityKey can be used for X25519 directly, and XEdDSA has to be used to produce EdDSA-compatible signatures. Note that libsignal by default does <strong>NOT</strong> use XEdDSA. libsignal <em>includes</em> XEdDSA though and has to be modified to use that to be compatible with OMEMO.</li>
<li>Libraries can use an Ed25519 key pair as their internal IdentityKey. In this case, the IdentityKey can create EdDSA-compatible signatures directly, and has to be converted first to perform X25519.</li>
</ol>
Note that this decision is purely local to each client and OMEMO library. The public key is ALWAYS transferred in its Ed25519 form and only valid EdDSA signatures are transferred. The choice between Curve25519 and Ed25519 affects the definition of the <tt>Sig(PK, M)</tt> and <tt>DH(PK1, PK2)</tt> functions as defined below.</dd></di>
<di><dt>Sig(PK, M)</dt><dd>If the IdentityKey pair is chosen to be a Curve25519 key pair, the definition of <tt>Sig(PK, M)</tt> found in the X3DH specification applies. If the IdentityKey pair is chosen to be an Ed25519 key pair, the following definition applies: <tt>Sig(PK, M)</tt> represents the byte sequence that is an Ed25519 signature on the byte sequence <tt>M</tt> and verifies with public key <tt>PK</tt>, and which was created by signing <tt>M</tt> with <tt>PK</tt>'s corresponding private key. The byte-format of the signature is defined in &rfc8032;.</dd></di>
<di><dt>DH(PK1, PK2)</dt><dd>The original definition of <tt>DH(PK1, PK2)</tt> found in the X3DH specification applies with one exception: if the IdentityKey pair is chosen to be an Ed25519 key pair and either <tt>PK1</tt> or <tt>PK2</tt> corresponds to the IdentityKey, the respective key first has to be converted into its Curve25519 equivalent (see above). This conversion is implemented for example by <tt>libsodium</tt>, which exports the conversion as <tt>crypto_sign_ed25519_sk_to_curve25519</tt> and <tt>crypto_sign_ed25519_pk_to_curve25519</tt> for the private and public key, respectively (documented on <linkurl="https://download.libsodium.org/doc/advanced/ed25519-curve25519">libsodium.org</link>).</dd></di>
<di><dt>Encode(PK)</dt><dd>The public part of the IdentityKey pair is encoded as defined in &rfc8032;. Note that the IdentityKey is always transferred in its Ed25519 form. When using a Curve25519 key pair internally, the public key has to be converted to Ed25519 first. Curve25519 public keys are encoded using the little-endian encoding of the u-coordinate as specified in &rfc7748;.</dd></di>
The key exchange is done just-in-time when sending the first message to a device. Thus, each key exchange message always also contains encrypted content as produced by the Double Ratchet encryption scheme below.
<p>NOTE: <tt>OMEMOMessage.proto</tt>, <tt>OMEMOAuthenticatedMessage.proto</tt> and <tt>OMEMOKeyExchange.proto</tt> refer to the protobuf structures as defined in the <linkurl="#protobuf-schema">Protobuf Schemas</link>.</p>
The &doubleratchet; encryption scheme was specified by Trevor Perrin and Moxie Marlinspike and placed under the public domain. OMEMO uses this protocol with the following parameters/settings:
The Double Ratchet is initialized using the shared secret, ad and public keys as yielded by the X3DH key agreement protocol, as explained in the Double Ratchet specification. Additionally, the ephemeral key pair (ek) used by the X3DH key agreement is stored with the session.
<di><dt>MAX_SKIP</dt><dd>Storing skipped message keys introduces two potential DoS attacks. First, the maximum number of skipped message keys to store has to be limited, otherwise an attacker could fill the storage of the receiving device with skipped message keys. It is RECOMMENDED to keep 1000 skipped message keys around per session. Second, the maximum number of skipped message keys in a single message has to be limited, otherwise, with just a single malicious message, an attacker could make the receiving device calculate up to around 2^32 skipped message keys. The choice of this limit depends on the hardware capabilities of the device, though modern hardware is safe to choose values of around 1000 here too.</dd></di>
<di><dt>deletion policy for skipped message keys</dt><dd>As soon as the maximum number of skipped message keys are stored for a session, keys for that session are discarded on a FIFO basis to make space for new skipped message keys. Implementations SHOULD NOT keep skipped message keys around forever, but discard old keys on a different implementation-defined policy. It is RECOMMENDED to base this policy on deterministic events rather than time.</dd></di>
<di><dt>authentication tag truncation</dt><dd>Authentication tags are truncated to 16 bytes/128 bits by cutting off excess bytes from the end.</dd></di>
<di><dt>CONCAT(ad, header)</dt><dd><tt>CONCAT(ad, header) = ad || OMEMOMessage.proto(header)</tt> NOTE: the <tt>OMEMOMessage.proto</tt> is initialized without the ciphertext, which is optional. NOTE: Implementations are not strictly required to return a parseable byte array, as the unpacked/parsed data is required later in the protocol.</dd></di>
<di><dt>KDF_RK(rk, dh_out)</dt><dd>HKDF-SHA-256 using the root key (rk) as HKDF salt, the output of a Diffie-Hellman (dh_out) as HKDF input material and "OMEMO Root Chain" as HKDF info.</dd></di>
<di><dt>KDF_CK(ck)</dt><dd>HMAC-SHA-256 using a chain key (ck) as the HMAC key, a single byte constant <tt>0x01</tt> as HMAC input to produce the next message key (mk) and a single byte constant <tt>0x02</tt> as HMAC input to produce the next chain key.</dd></di>
The encryption step uses authenticated encryption consisting of AES-256-CBC with HMAC-SHA-256.
<ol>
<li>Use HKDF-SHA-256 to generate 80 bytes of output from the message key by providing mk as HKDF input, 256 zero-bits as HKDF salt and "OMEMO Message Key Material" as HKDF info.</li>
<li>Divide the HKDF output into a 32-byte encryption key, a 32-byte authentication key and a 16 byte IV.</li>
<li>Encrypt the plaintext (which consists of a 32 bytes key and a 32 bytes HMAC as specified in the section about <linkurl="#protocol-message_encryption">Message Encryption</link>) using AES-256-CBC with PKCS#7 padding, using the encryption key and IV derived in the previous step.</li>
<li>Serialize the <tt>OMEMOMessage.proto</tt> structure into a parseable byte array. To avoid potential problems regarding non-uniqueness of the serialization, make sure to only serialize <em>once</em> and to use that exact byte sequence in the following steps.</li>
<li>Concatenate the ad and the <tt>OMEMOMessage.proto</tt> structure into a parseable byte array. The result builds the HMAC input material for the next step.</li>
<li>Calculate the HMAC-SHA-256 using the authentication key and the input material as derived in the steps above. Truncate the output of the HMAC to 16 bytes/128 bits by cutting off excess bytes from the end.</li>
<p>Information on the functions mentioned above can be found in the <linkurl="https://signal.org/docs/specifications/doubleratchet/#external-functions">Double Ratchet</link> specification.</p>
If encrypting this message required a key exchange, the X3DH header data is placed into a new <tt>OMEMOKeyExchange.proto</tt> structure together with the <tt>OMEMOAuthenticatedMessage.proto</tt> structure.
To account for lost and out-of-order messages during the key exchange, <tt>OMEMOKeyExchange.proto</tt> structures are sent until a response by the recipient confirms that the key exchange was successfully completed. To do so, the X3DH header data is stored and added on each subsequent message until a response is received. This looks roughly as follows:
<li>The first content is encrypted for a new recipient. This results in an X3DH header and a <tt>OMEMOAuthenticatedMessage.proto</tt> structure. Both are packed into an <tt>OMEMOKeyExchange.proto</tt> structure. The X3DH header is stored for following messages.</li>
<li>A second message is encrypted for the same recipient. This results in only an <tt>OMEMOAuthenticatedMessage.proto</tt> structure, as a new key exchange is not required. Together with the X3DH header that was stored in the previous step, an <tt>OMEMOKeyExchange.proto</tt> structure is constructed and sent to the recipient.</li>
When receiving an OMEMOKeyExchange, the receiving device checks if it already has a Double Ratchet session with the sending device. If that is the case, the device compares the ephemeral public key stored in the Double Ratchet state with the ephemeral public key in the <tt>OMEMOKeyExchange.proto</tt> structure. If both are equal, the receiving device only processes the <tt>OMEMOAuthenticatedMessage.proto</tt> contained in the <tt>OMEMOKeyExchange.proto</tt>. Otherwise, it processes the whole <tt>OMEMOKeyExchange.proto</tt> structure.
<li>Generate 32 bytes of <linkurl="https://tools.ietf.org/html/rfc4086">cryptographically secure random data</link>, called <tt>key</tt> in the remainder of this algorithm.</li>
<li>Use HKDF-SHA-256 to generate 80 bytes of output from the key by providing the key as HKDF input, 256 zero-bits as HKDF salt and "OMEMO Payload" as HKDF info.</li>
<li>Divide the HKDF output into a 32-byte encryption key, a 32-byte authentication key and a 16 byte IV.</li>
<li>Encrypt the plaintext using AES-256-CBC with PKCS#7 padding, using the encryption key and IV derived in the previous step.</li>
<li>Calculate the HMAC-SHA-256 using the authentication key and the ciphertext from the previous steps. Truncate the output of the HMAC to 16 bytes/128 bits by cutting off excess bytes from the end.</li>
<li>Concatenate the key and the HMAC, encrypt them using the Double Ratchet as specified above, once for each intended recipient. This yields one OMEMOKeyExchange or OMEMOAuthenticatedMessage per recipient device.</li>
<li>Use HKDF-SHA-256 to generate 80 bytes of output from the key by providing the key as HKDF input, 256 zero-bits as HKDF salt and "OMEMO Payload" as HKDF info.</li>
<li>Divide the HKDF output into a 32-byte encryption key, a 32-byte authentication key and a 16 byte IV.</li>
To participate in OMEMO-encrypted chats, clients need to set up an OMEMO library and generate a device id, which is a randomly generated integer between 1 and 2^31 - 1 (the positive numbers of a signed 32 bit integer, without 0). The device id must be unique for the account.
<p>In order to determine whether a given contact has devices that support OMEMO, the devices node in PEP is consulted. Devices MUST subscribe to <tt>&nsdevices;</tt> via PEP, so that they are informed whenever their contacts add a new device. They MUST cache the most up-to-date version of the device list.</p>
<p>In order for other devices to be able to initiate a session with a given device, it first has to announce itself by adding its device id to the devices PEP node.</p>
<p>It is REQUIRED to set the access model of the <tt>&nsdevices;</tt> node to ‘open’ to give entities without presence subscription read access to the devices and allow them to establish an OMEMO session. Not having presence subscription is a common occurrence on the first few messages between two contacts and can also happen fairly frequently in group chats as not every participant had prior communication with every other participant.</p>
<p>The device element MAY contain an attribute called label, which is a user defined string describing the device that published that bundle. It is RECOMMENDED to keep the length of the label under 53 Unicode code points.</p>
<p>NOTE: as per <linkurl='https://xmpp.org/extensions/xep-0060.html#impl-singleton'><cite>XEP-0060</cite> §12.20</link>, it is RECOMMENDED for the publisher to specify an ItemID of "current" to ensure that the publication of a new item will overwrite the existing item.</p>
<p>This step presents the risk of introducing a race condition: Two devices might simultaneously try to announce themselves, unaware of the other's existence. The second device would overwrite the first one. To mitigate this, devices MUST check that their own device id is contained in the list whenever they receive a PEP update from their own account. If they have been removed, they MUST reannounce themselves.</p>
<p>Furthermore, a device MUST publish its IdentityKey, a signed PreKey, and a list of PreKeys. This tuple is called a bundle and is provided by OMEMO libraries. Bundles are maintained as multiple items in a PEP node called <tt>&nsbundles;</tt>. Each bundle MUST be stored in a seperate item. The item id MUST be set to the device id.</p>
<p>A bundle is an element called 'bundle' in the <tt>&ns;</tt> namespace. It has a child element called ‘spk’ that contains the public part of the signed PreKey as base64 encoded data, a child element called ‘spks’ that contains the signed PreKey signature as base64 encoded data and a child element called ‘ik’ that contains the public part of the IdentityKey as base64 encoded data. PreKeys are multiple elements called ‘pk’ that each contain the public part of one PreKey as base64 encoded data. PreKeys are wrapped in an element called ‘prekeys’ which is a child of the bundle element. The ‘spk’ and the ‘pk’s are tagged with an ‘id’-attribute which is a positive integer between 1 and 2^31 - 1 (the positive numbers of a signed 32 bit integer, without 0) that uniquely identifies the keys. The ‘spk’ and the ‘pk’s are considered separate, which means that an ‘spk’ can have the same ‘id’ as a ‘pk’. These ids are used to save bandwidth during key exchanges, which refer to the keys using their id instead of their full public parts.</p>
<p>When publishing bundles a client MUST make sure that the <tt>&nsbundles;</tt> node is configured to store multiple items. This is not the default with &xep0163;. If the node doesn’t exist yet it can be configured on the fly by using publish-options as described in <linkurl='https://xmpp.org/extensions/xep-0060.html#publisher-publish-options'><cite>XEP-0060</cite> §7.1.5</link>. The value for 'pubsub#max_items' in publish_options MUST be set to 'max'. If the node did exist and was configured differently the bundle publication will fail. Clients MUST then reconfigure the node as described in <linkurl='https://xmpp.org/extensions/xep-0060.html#owner-configure'><cite>XEP-0060</cite> §8.2</link>.</p>
encrypted. For this purpose, extensions that are only intended to be accessible to the recipient
are placed inside a &xep0420;&content; element, which is then encrypted using a message key.
For this reason OMEMO defines its own SCE profile.
</p>
<section3topic='SCE Profile'anchor='sce'>
<p>
An OMEMO SCE &content; element
</p>
<ul>
<li>MUST contain an <rpad/> affix element. This is used to prevent an attacker from gaining insights about the content of a message based on the length of the ciphertext.</li>
<li>MAY contain a <time/> affix element. This can be used to prevent the server from modifying the order in which messages from different sending devices have been sent.</li>
<li>SHOULD contain a <from/> affix element.</li>
<li>MUST contain a <to/> affix element whenever a message is sent via a group chat (MUC/MIX). This is used to prevent the server from silently converting a group message into a private message and vice versa.</li>
Clients MUST only consider the devices on the <tt>&nsdevices;</tt> node of each recipient (i.e. including their own devices node, but excluding itself).
An OMEMO encrypted message is specified to include an <encrypted> element in the <tt>&ns;</tt> namespace. It contains up to two child nodes, the <header> and the &payload; element. The <header> element must always be present, the &payload; element must be present unless an empty OMEMO message is sent, as described below.
The <header> element has an attribute named 'sid' referencing the device id of the sending device and contains one or multiple <keys> elements, each with an attribute 'jid' of one of the recipients bare JIDs, as well as one or multiple <key> elements.
A <key> element has an attribute named 'rid' referencing the device id of the recipient device, and an attribute named 'kex' which defaults to 'false' and indicates if the enclosed encrypted message includes a key exchange. The key and HMAC encrypted using the long-standing OMEMO session for that recipient device are encoded using base64 and placed as text content into the <key> element.
The encrypted &content; element is encoded using base64 and placed as text content into the &payload; element.
<!-- TODO: <p>Note that following &rfc6120; (section 8.4.), clients MUST ignore XML attributes and elements that are qualified with an unknown namespace, in order to allow for protocol extensions.</p> (qualified attributes are evil, right?) -->
<p>A special case are <em>empty</em> OMEMO messages, which are used in various places throughout the protocol purely to manage sessions and not to transfer content. With empty OMEMO messages, the step of creating and encrypting the &payload; element is skipped. Instead of encrypting the key and authentication tag of the &payload; ciphertext with the Double Ratchet session, 32 zero-bytes are encrypted with the Double Ratchet session directly. The resulting OMEMOKeyExchange or OMEMOAuthenticatedMessage are put into <key> elements as usual, but the &payload; element is omitted altogether, so that the <encrypted> element only contains a <header>.</p>
<p>When an OMEMO element is received, the client MUST check whether there is a <keys> element with a jid attribute matching its own bare jid and an inner <key> element with a rid attribute matching its own device id. If this is not the case the message was not encrypted for this particular device and a warning message SHOULD be displayed instead. If such an element exists, the client checks whether the element's contents are an OMEMOKeyExchange.</p>
<p>If this is the case, a new session is built from this received element. The client MUST then republish their bundle information, replacing the used PreKey, such that it won't be used again by a different client. If the client already has a session with the sender's device, it MUST replace this session with the newly built session. The client MUST eventually delete the private key belonging to the PreKey after use (this is subject to the <linkurl='#business-rules'>Business rules</link>).</p>
<p>If the element's contents are an OMEMOAuthenticatedMessage, and the client has a session with the sender's device, it tries to decrypt the OMEMOAuthenticatedMessage using this session. If the decryption fails or there is no session with the sending device, a warning message SHOULD be displayed instead. Also refer to the section about recovering from broken sessions in the <linkurl='#business-rules'>Business Rules</link>.</p>
After either the OMEMOKeyExchange or the OMEMOAuthenticatedMessage is decrypted, the content is decrypted as described in the section about <linkurl='#protocol-message_decryption'>Message Decryption</link>.
<p>NOTE: OMEMO encrypted group chats are currently specified to work with &xep0045;. This XEP might be updated in the future to specify the usage of OMEMO in conjunction with &xep0369;.</p>
<p>A participant wanting to send a message to a group chat MUST first retrieve the members list and then fetch the device list for each member (via pubsub and to their real JIDs) and then subsequently fetch all bundles referenced by the device lists.</p>
<p>On join a participant MUST request the member list, the admin list and the owner list as described in <linkurl='https://xmpp.org/extensions/xep-0045.html#modifymember'><cite>XEP-0045</cite> §9.5</link>, <linkurl='https://xmpp.org/extensions/xep-0045.html#modifyadmin'><cite>XEP-0045</cite> §10.8</link>, and <linkurl='https://xmpp.org/extensions/xep-0045.html#modifyowner'><cite>XEP-0045</cite> §10.5</link> respectively. The real JIDs from those three lists MUST be combined as the recipients of OMEMO encrypted messages. This includes recipients who are currently offline. Once joined a participant MUST keep track of affiliation changes that occur in the room. This is both for removals (users getting banned or have their affiliation set to none) and users becoming members, admins or owners.</p>
<p>Sending a message to a group chat is similiar to sending a message in a 1:1 conversation. Instead of the <header> element having two <keys> elements (one for the recipient and one for other devices of the sender) it will contain multiple <keys> elements. One for each participant of the room; including, again, other devices of the sender.</p>
<examplecaption='Juliet sends a message to a group chat with Romeo and Mercutio'><