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116 lines
5 KiB
Markdown
116 lines
5 KiB
Markdown
(cyrptography_chapter)=
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# Cryptographic concepts/terms
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```{admonition} VISUAL
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:class: warning
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- Introduce visualizations for cryptographic primitives
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- Show example visualizations for operations? (encrypt/decrypt and signing/verification - only if we're going to reuse the visual primitives later)
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```
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## (Cryptographic) hash functions
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[(Cryptographic) hash functions](https://en.wikipedia.org/wiki/Cryptographic_hash_function) map binary data of arbitrary length to a fixed size "hash" (hashes are also sometimes called "digests").
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## Symmetric-key cryptography
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[Symmetric-key cryptography](https://en.wikipedia.org/wiki/Symmetric-key_algorithm) uses the same cryptographic key for both encryption and decryption. Symmetric-key cryptographic systems support *encryption/decryption* operations.
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Participants in symmetric-key operations need to exchange the shared secret over a secure channel.
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```{admonition} VISUAL
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:class: warning
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- visualization? (maybe a black key icon, following wikipedia's example?)
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```
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Symmetric-key cryptography is much faster than public-key cryptography. Also, most current symmetric cryptographic algorithms are considered quantum-resistant.
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So symmetric-key cryptography has major benefits, but exchanging the shared secret is a problem that needs to be solved separately.
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[Hybrid cryptosystems](hybrid_cryptosystems) are one common approach to leverage the benefits of symmetric-key cryptography, while handling the shared secret with a separate mechanism (using public-key cryptography).
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### Symmetric-key cryptography in OpenPGP
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Symmetric cryptography is used in OpenPGP (as part of a hybrid cryptosystem).
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Where symmetric keys are used in OpenPGP, they are referred to as "session keys."
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### Authenticated encryption with associated data (AEAD)
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[Authenticated encryption](https://en.wikipedia.org/wiki/Authenticated_encryption) is a class of cryptographic schemes that gives additional guarantees besides confidentiality.
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In OpenPGP version 6, AEAD is used to solve the problem of "malleability": In past versions of the OpenPGP protocol, some malicious changes to ciphertext were undetectable. With AEAD undetected changes of ciphertext are not possible.
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## Public-key, or asymmetric cryptography
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[Public-key cryptography](https://en.wikipedia.org/wiki/Public-key_cryptography) systems use asymmetric pairs of related keys. Public-key cryptographic systems support *encryption/decryption* and *digital signature* operations.
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Public-key cryptography doesn't require participants to have pre-arranged a shared secret.
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### Asymmetric cryptographic key pairs
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In many places, we'll deal with asymmetric cryptographic key pairs:
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```{figure} diag/cryptographic_keys.png
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---
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---
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An asymmetric cryptographic key pair
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```
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```{admonition} VISUAL
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:class: warning
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- Wiktor notes: red-green color-blindness affects 8,5% of the population.
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- Heiko: maybe use colors + distinct shapes for the two key halves?
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```
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An asymmetric cryptographic key pair consists of a public and a private part. In this document, we'll show the public part of key pair in green, and the private part in red.
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We'll usually visualize cryptographic key pairs in this more compact form:
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```{figure} diag/keypair.png
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---
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---
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Asymmetric key pair, more compact representation
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```
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Note that in many contexts, only the public part is present (more on that later):
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```{figure} diag/keypair_pub.png
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---
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---
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Only the public part of an asymmetric key pair
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```
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### Public-key cryptography in OpenPGP
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OpenPGP makes heavy use of public-key cryptography, both for encryption and signing operations.
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Note that, for historical reasons, OpenPGP often uses the terms "public/secret key" instead of "public/private key." The OpenPGP RFC and other documentation often use the non-standard term "secret key" instead of the more common "private key."
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### Cryptographic digital signatures
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[Digital signatures](https://en.wikipedia.org/wiki/Digital_signature) are a mechanism that is based on asymmetric cryptography. With this mechanism, one actor can make a signature over a digital message, and another actor can check the validity of that signature.
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The signer uses digital signatures to make statements about the message. Third parties can then inspect these statements.
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```{admonition} VISUAL
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:class: warning
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- add visualization showing: message + private key + sign = signature -> message + signature + public key + verify = ok?
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```
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In OpenPGP, digital signatures are used in two different contexts:
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- [Certification statements](certifications_chapter)
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- [Signatures over data](signing_data)
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(hybrid_cryptosystems)=
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## Hybrid cryptosystems
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[Hybrid cryptosystems](https://en.wikipedia.org/wiki/Hybrid_cryptosystem) combine two cryptosystems and make use of their respective advantages:
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- A public-key cryptosystem is used to safely handle shared secrets over insecure channels (in OpenPGP: so-called "session keys")
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- A symmetric-key cryptosystem is used to efficiently encrypt and decrypt long messages (using an OpenPGP "session key" as the shared secret)
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