From 3da151ffc132b73b629661b47baf658aa3957ec5 Mon Sep 17 00:00:00 2001 From: Donald Stufft <donald@stufft.io> Date: Sun, 24 Feb 2013 20:38:29 -0500 Subject: [PATCH] Document nacl.signing and Digital Signatures --- docs/conf.py | 4 ++ docs/images/ed25519.png | Bin 0 -> 93339 bytes docs/index.rst | 2 + docs/signing.rst | 146 ++++++++++++++++++++++++++++++++++++++++ nacl/signing.py | 54 +++++++++++++++ 5 files changed, 206 insertions(+) create mode 100644 docs/images/ed25519.png create mode 100644 docs/signing.rst diff --git a/docs/conf.py b/docs/conf.py index 317a12aa..2bb4130b 100644 --- a/docs/conf.py +++ b/docs/conf.py @@ -86,6 +86,10 @@ pygments_style = 'sphinx' # A list of ignored prefixes for module index sorting. #modindex_common_prefix = [] +intersphinx_mapping = { + 'python': ('http://docs.python.org/3/', None) +} + # -- Options for HTML output --------------------------------------------------- diff --git a/docs/images/ed25519.png b/docs/images/ed25519.png new file mode 100644 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A valid digital signature gives a recipient reason to believe +that the message was created by a known sender such that they cannot deny sending +it (authentication and non-repudiation) and that the message was not altered in +transit (integrity). + +Digital signatures allow you to publish a public key, and then you can use your +private signing key to sign messages. Others who have your public key can then +use it to validate that your messages are actually authentic. + + +Example +------- + +Signers Perspective (:class:`~nacl.signing.SigningKey`) + +.. code:: python + + import binascii + import nacl.signing + + # Generate a new random signing key + signing_key = nacl.signing.SigningKey.generate() + + # Sign a message with the signing key + signed = signing_key.sign("Attack at Dawn") + + # Obtain the verify key for a given signing key + verify_key = signing_key.verify_key + + # Serialize the verify key to send it to a third party + binascii.hexlify(bytes(verify_key)) + +Verifier's perspective (:class:`~nacl.signing.VerifyKey`) + +.. code:: python + + import binascii + import nacl.signing + + # Create a VerifyKey object from a hex serialized public key + verify_key = nacl.signing.VerifyKey(binascii.unhexlify(verify_key_hex)) + + # Check the validity of a message's signature + # Will raise nacl.signing.BadSignatureError if the signature check fails + verify_key.verify(signed) + + +Reference +--------- + +.. autoclass:: nacl.signing.SigningKey + :members: + +.. autoclass:: nacl.signing.VerifyKey + :members: + +.. autoclass:: nacl.signing.SignedMessage + :members: + +.. autoclass:: nacl.signing.BadSignatureError + :members: + + +Ed25519 +------- + +Ed25519 is a public-key signature system with several attractive features: + +* **Fast single-signature verification:** Ed25519 takes only 273364 cycles + to verify a signature on Intel's widely deployed Nehalem/Westmere lines of + CPUs. (This performance measurement is for short messages; for very long + messages, verification time is dominated by hashing time.) Nehalem and + Westmere include all Core i7, i5, and i3 CPUs released between 2008 and + 2010, and most Xeon CPUs released in the same period. +* **Even faster batch verification:** Ed25519 performs a batch of 64 + separate signature verifications (verifying 64 signatures of 64 messages + under 64 public keys) in only 8.55 million cycles, i.e., under 134000 + cycles per signature. Ed25519 fits easily into L1 cache, so contention + between cores is negligible: a quad-core 2.4GHz Westmere verifies 71000 + signatures per second, while keeping the maximum verification latency + below 4 milliseconds. +* **Very fast signing:** Ed25519 takes only 87548 cycles to sign a + message. A quad-core 2.4GHz Westmere signs 109000 messages per second. +* **Fast key generation:** Key generation is almost as fast as signing. There + is a slight penalty for key generation to obtain a secure random number + from the operating system; /dev/urandom under Linux costs about 6000 + cycles. +* **High security level:** This system has a 2^128 security target; breaking it + has similar difficulty to breaking NIST P-256, RSA with ~3000-bit keys, + strong 128-bit block ciphers, etc. The best attacks known actually cost + more than 2^140 bit operations on average, and degrade quadratically in + success probability as the number of bit operations drops. +* **Collision resilience:** Hash-function collisions do not break this system. + This adds a layer of defense against the possibility of weakness in the + selected hash function. +* **No secret array indices:** Ed25519 never reads or writes data from secret + addresses in RAM; the pattern of addresses is completely predictable. + Ed25519 is therefore immune to cache-timing attacks, hyperthreading + attacks, and other side-channel attacks that rely on leakage of addresses + through the CPU cache. +* **No secret branch conditions:** Ed25519 never performs conditional branches + based on secret data; the pattern of jumps is completely predictable. + Ed25519 is therefore immune to side-channel attacks that rely on leakage of + information through the branch-prediction unit. +* **Small signatures:** Ed25519 signatures are only 512-bits (64 bytes), one + of the smallest signature sizes available. +* **Small keys:** Ed25519 keys are only 256-bits (32 bytes), making them small + enough to easily copy and paste. Ed25519 also allows the public key to be + derived from the private key, meaning that it doesn't need to be included + in a serialized private key in cases you want both. +* **Deterministic:** Unlike (EC)DSA, Ed25519 does not rely on an entropy + source when signing messages (which has lead to `catastrophic private key <http://www.mydigitallife.info/fail0verflow-hack-permanent-sony-ps3-crack-to-code-sign-homebrew-games-and-apps/>`_ + compromises), but instead computes signature nonces from a combination of + a hash of the signing key's "seed" and the message to be signed. This + avoids using an entropy source for nonces, which can be a potential attack + vector if the entropy source is not generating good random numbers. Even a + single reused nonce can lead to a complete disclosure of the private key in + these schemes, which Ed25519 avoids entirely by being deterministic instead + of tied to an entropy source. + +The numbers 87548 and 273364 shown above are official +`eBATS <http://bench.cr.yp.to/>` reports for a Westmere CPU (Intel Xeon E5620, +hydra2). + +Ed25519 signatures are elliptic-curve signatures, carefully engineered at +several levels of design and implementation to achieve very high speeds without +compromising security. + + +Algorithm +~~~~~~~~~ + +* **Public Keys:** `Curve25519 high-speed elliptic curve cryptography <http://cr.yp.to/ecdh.html>`_ +* **Signatures:** `Ed25519 digital signature system <http://cr.yp.to/ecdh.html>`_ + +.. image:: images/ed25519.png + +:k: Ed25519 private key (passed into :class:`~nacl.signing.SigningKey`) +:A: Ed25519 public key derived from k +:M: message to be signed +:R: a deterministic nonce value calculated from a combination of private key data RH and the message M +:S: Ed25519 signature diff --git a/nacl/signing.py b/nacl/signing.py index f97fa426..53a33112 100644 --- a/nacl/signing.py +++ b/nacl/signing.py @@ -1,3 +1,4 @@ +from __future__ import absolute_import from __future__ import division from . import six @@ -14,17 +15,32 @@ class BadSignatureError(CryptoError): class SignedMessage(six.binary_type): + """ + A bytes subclass that holds a messaged that has been signed by a :class:`SigningKey`. + """ @property def signature(self): + """ + The signature contained within the :class:`SignedMessage`. + """ return self[:nacl.lib.crypto_sign_BYTES] @property def message(self): + """ + The message contained within the :class:`SignedMessage`. + """ return self[nacl.lib.crypto_sign_BYTES:] class VerifyKey(object): + """ + The public key counterpart to an Ed25519 SigningKey for producing digital + signatures. + + :param key: [:class:`bytes`] Serialized Ed25519 public key + """ def __init__(self, key): if len(key) != nacl.lib.crypto_sign_PUBLICKEYBYTES: @@ -34,6 +50,17 @@ class VerifyKey(object): self._key = key def verify(self, smessage, signature=None): + """ + Verifies the signature of a signed message, returning the message + if it has not been tampered with else raising + :class:`~nacl.signing.BadSignatureError`. + + :param smessage: [:class:`bytes`] Either the original messaged or a + signature and message concated together. + :param signature: [:class:`bytes`] If an unsigned message is given for + smessage then the detached signature must be provded. + :rtype: :class:`bytes` + """ if signature is not None: # If we were given the message and signature separately, combine # them. @@ -49,6 +76,22 @@ class VerifyKey(object): class SigningKey(object): + """ + Private key for producing digital signatures using the Ed25519 algorithm. + + Signing keys are produced from a 32-byte (256-bit) random seed value. This + value can be passed into the :class:`~nacl.signing.SigningKey` as a :func:`bytes` + whose length is 32. + + .. warning:: This **must** be protected and remain secret. Anyone who knows + the value of your :class:`~nacl.signing.SigningKey` or it's seed can + masquerade as you. + + :param seed: [:class:`bytes`] Random 32-byte value (i.e. private key) + + :ivar: verify_key: [:class:`~nacl.signing.VerifyKey`] The verify + (i.e. public) key that corresponds with this signing key. + """ def __init__(self, seed): # Verify that our seed is the proper size @@ -72,9 +115,20 @@ class SigningKey(object): @classmethod def generate(cls): + """ + Generates a random :class:`~nacl.signing.SingingKey` object. + + :rtype: :class:`~nacl.signing.SigningKey` + """ return cls(random(nacl.lib.crypto_sign_SECRETKEYBYTES // 2)) def sign(self, message): + """ + Sign a message using this key. + + :param message: [:class:`bytes`] The data to be signed. + :rtype: :class:`~nacl.signing.SignedMessage` + """ sm = nacl.ffi.new("unsigned char[]", len(message) + nacl.lib.crypto_sign_BYTES) smlen = nacl.ffi.new("unsigned long long *") -- GitLab