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Mark Haines 2015-08-18 14:46:57 +01:00
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docs/olm.rst
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@ -1,5 +1,5 @@
Olm: A Crytographic Ratchet
===========================
Olm: A Cryptographic Ratchet
============================
An implementation of the cryptographic ratchet described by
https://github.com/trevp/axolotl/wiki.
@ -12,7 +12,7 @@ Initial setup
~~~~~~~~~~~~~
The setup takes four Curve25519_ inputs: Identity keys for Alice and Bob,
:math:`I_A` and :math:`I_B`, and emphemeral keys for Alice and Bob,
:math:`I_A` and :math:`I_B`, and ephemeral keys for Alice and Bob,
:math:`E_A` and :math:`E_B`. A shared secret, :math:`S`, is generated using
`Triple Diffie-Hellman`_. The initial 256 bit root key, :math:`R_0`, and 256
bit chain key, :math:`C_{0,0}`, are derived from the shared secret using an
@ -113,7 +113,7 @@ Alice's single-use key, :math:`E_A`, the public part of his single-use key,
part of the single-use key, :math:`E_B`. Bob computes the root key :math:`R_0`,
and the chain key :math:`C_{0,0}`. Bob then advances the chain key to compute
the chain key used by the message, :math:`C_{0,j}`. Bob then creates the
message key, :math:`M_{0,j}`, and attempts to decrypt the ciphertext,
message key, :math:`M_{0,j}`, and attempts to decrypt the cipher-text,
:math:`X_{0,j}`. If the cipher-text's authentication is correct then Bob can
discard private part of his single-use one-time key, :math:`E_B`.
@ -147,7 +147,7 @@ the receiver computes the chain key, :math:`C_{i,j}`. The receiver computes the
message key, :math:`M_{i,j}`, from the chain key and attempts to decrypt the
cipher-text, :math:`X_{i,j}`.
If the decryption succeeds the reciever updates the chain key for :math:`T_i`
If the decryption succeeds the receiver updates the chain key for :math:`T_i`
with :math:`C_{i,j+1}` and stores the message keys that were skipped in the
process so that they can decode out of order messages. If the receiver created
a new receiver chain then they discard their current sender chain so that
@ -192,7 +192,7 @@ Cipher-Text 0x22 String The cipher-text, :math:`X_{i,j}`, of the message
=========== ===== ======== ================================================
The length of the MAC is determined by the authenticated encryption algorithm
being used. The MAC protects all of the bytes preceeding the MAC.
being used. The MAC protects all of the bytes preceding the MAC.
Pre-Key Messages
~~~~~~~~~~~~~~~~