Probability theory and public-key cryptography

Number Theory and Public - Key Cryptography

For a long time, cryptology had been a mystic art more than a science, solving the confidentiality concerns with secret and private techniques. Automatic machines, electronic and namely computers modified the environment and the basic requirements. The main difference was the need of public mechanisms to allow large-scale communications with just a small secret shared between the interlocutors,...

Public-key cryptography and invariant theory

Public-key cryptosystems are suggested based on invariants of groups. We give also an overview of known cryptosystems which involve groups.

Public key cryptography based on coding theory

In this thesis we view the statistical decoding algorithm, which tries to solve the general decoding problem as well as the variants of the McEliece cryptosystem based on Gabidulin codes. The first part of the thesis is dedicated to the general concept of public key cryptography on the basis of coding theory and the security of the underlying problems. Thus after presenting the basic principles...

Cryptography. key exchange, public key

General cryptographic schemes are presented where keys can be one-time or ephemeral. Processes for key exchange are derived. Public key cryptographic schemes based on the new systems are established. Authentication and signature schemes are easy to implement. The schemes may be integrated with error-correcting coding schemes so that encryption/coding and decryption/decoding may be done simultan...

Public Key Cryptography