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  2. Elliptic Curve Digital Signature Algorithm - Wikipedia

    en.wikipedia.org/wiki/Elliptic_Curve_Digital...

    As with elliptic-curve cryptography in general, the bit size of the private key believed to be needed for ECDSA is about twice the size of the security level, in bits. [1] For example, at a security level of 80 bits—meaning an attacker requires a maximum of about 2 80 {\displaystyle 2^{80}} operations to find the private key—the size of an ...

  3. Public key infrastructure - Wikipedia

    en.wikipedia.org/wiki/Public_key_infrastructure

    Diagram of a public key infrastructure. A public key infrastructure (PKI) is a set of roles, policies, hardware, software and procedures needed to create, manage, distribute, use, store and revoke digital certificates and manage public-key encryption.

  4. Digital signature - Wikipedia

    en.wikipedia.org/wiki/Digital_signature

    Digital signatures employ asymmetric cryptography. In many instances, they provide a layer of validation and security to messages sent through a non-secure channel: Properly implemented, a digital signature gives the receiver reason to believe the message was sent by the claimed sender.

  5. Bitcoin - Wikipedia

    en.wikipedia.org/wiki/Bitcoin

    Nodes in the peer-to-peer bitcoin network verify transactions through cryptography and record them in a public distributed ledger, called a blockchain, without central oversight. Consensus between nodes is achieved using a computationally intensive process based on proof of work, called mining, that secures the bitcoin blockchain.

  6. Transport Layer Security - Wikipedia

    en.wikipedia.org/wiki/Transport_Layer_Security

    Transport Layer Security (TLS) is a cryptographic protocol designed to provide communications security over a computer network, such as the Internet. The protocol is widely used in applications such as email , instant messaging , and voice over IP , but its use in securing HTTPS remains the most publicly visible.

  7. Quantum computing - Wikipedia

    en.wikipedia.org/wiki/Quantum_computing

    These are used to protect secure Web pages, encrypted email, and many other types of data. Breaking these would have significant ramifications for electronic privacy and security. Identifying cryptographic systems that may be secure against quantum algorithms is an actively researched topic under the field of post-quantum cryptography.

  8. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Communication technologies apply branches of mathematics that may be very old (e.g., arithmetic), especially with respect to transmission security, in cryptography and coding theory. Discrete mathematics is useful in many areas of computer science, such as complexity theory, information theory, and graph theory. [138]