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Well, it's good that you're trying to learn. However, learning from the original seminal papers does have some issues that you need to be aware of. For one, sometimes the original authors did not anticipate some issues that later contributions found (and for which common practice adjusted for). For example, it is now recognized that public key encryption ...


4

Why can't you encrypt a message with a public key generated via ECC? Well, for starters, you need to realize that ECC is a collective term for a number of protocols that use elliptic curves to do cryptography. Some of these protocols (ECIES, ECElGamal) are public key encryption methods (that is, they have a public encryption key, and the private ...


3

Such a scheme includes factorization as an additional barrier in case discrete logarithm modulo primes is broken and so why is this not popular and defined in standards? Actually, it would not be an "additional barrier", instead, it would be an additional avenue of attack. After all, the standard attacks against a discrete log problem still work ...


3

The multiplicative DHKE and its Elliptic curve version ECDH can be used to establish a common secret between the parties. Once the key established, this key can be used to derive symmetric keys for AES-GCM, AES-CCM, and ChaCha20 which are the cipher suites in TLS 1.3. These ciphers are Authenticated Encryption with Associated Data (AEAD) and provides ...


2

In cryptography you often use hybrid system. That is a combination of asymmetric and symmetric techniques. The asymmetric key exchange: An example for that is Diffie-Hellman. A key exchange is important in situations, where you have to find a secret key using a public way to exchange informations. A symmetric key exchange is not possible, so you need to use ...


1

If you look at the FIPS Implementation Guidelines for FIPS-140-2 here https://csrc.nist.gov/csrc/media/projects/cryptographic-module-validation-program/documents/fips140-2/fips1402ig.pdf In section D.8 Key Agreements, you will find the recommendations. This recommendation points to NIST SP-800-56A, where in Appendix D, there is a table of "Approved ECC ...


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