Commit b9ff140b authored by Matthew Hodgson's avatar Matthew Hodgson
Browse files

minor typos and clarifications

parent bed93fcb
......@@ -14,7 +14,7 @@ side of an :math:`=` it means that the output is split.
When this document uses :math:`ECDH\left(K_A,\,K_B\right)` it means that each
party computes a Diffie-Hellman agreement using their private key and the
remote parties public key.
remote party's public key.
So party :math:`A` computes :math:`ECDH\left(K_B_public,\,K_A_private\right)`
and party :math:`B` computes :math:`ECDH\left(K_A_public,\,K_B_private\right)`
......@@ -108,10 +108,11 @@ Sending the first pre-key messages
Alice computes a message key, :math:`M_{0,j}`, using the current chain key,
:math:`C_{0,j}`. Alice replaces the current chain key with :math:`C_{0,j+1}`.
Alice encrypts her plain-text with the message key, :math:`M_{0,j}`, using an
authenticated encryption scheme to get a cipher-text, :math:`X_{0,j}`. Alice
sends her identity key, :math:`I_A`, her single-use key, :math:`E_A`, Bob's
single-use key, :math:`E_B`, the current chain index, :math:`j`, her ratchet
key, :math:`T_0`, and the cipher-text, :math:`X_{0,j}`, to Bob.
authenticated encryption scheme (see below) to get a cipher-text,
:math:`X_{0,j}`. Alice sends her identity key, :math:`I_A`, her single-use key,
:math:`E_A`, Bob's single-use key, :math:`E_B`, the current chain index,
:math:`j`, her ratchet key, :math:`T_0`, and the cipher-text, :math:`X_{0,j}`,
to Bob.
Alice will continue to send pre-key messages until she receives a message from
Bob.
......@@ -128,7 +129,7 @@ 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 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`.
discard the private part of his single-use one-time key, :math:`E_B`.
Sending messages
~~~~~~~~~~~~~~~~
......@@ -141,9 +142,9 @@ using :math:`R_{i-1}`, :math:`T_{i-1}` and :math:`T_i`. A message key,
:math:`M_{i,j}` is computed from the current chain key, :math:`C_{i,j}`, and
the chain key is replaced with the next chain key, :math:`C_{i,j+1}`. The
plain-text is encrypted with :math:`M_{i,j}`, using an authenticated encryption
scheme to get a cipher-text, :math:`X_{i,j}`. Then user sends the current
chain index, :math:`j`, the ratchet key, :math:`T_i`, and the cipher-text,
:math:`X_{i,j}`, to the other user.
scheme (see below) to get a cipher-text, :math:`X_{i,j}`. Then user sends the
current chain index, :math:`j`, the ratchet key, :math:`T_i`, and the
cipher-text, :math:`X_{i,j}`, to the other user.
Receiving messages
~~~~~~~~~~~~~~~~~~
......
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