Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Author:
Pilichos Christos
Supervisors info:
Μπάρδης Νικόλαος, Αναπληρωτής Καθηγητή, Στρατιωτική Σχολή Ευελπίδων
Original Title:
Κρυπτοσυστήματα και Αποδείξεις Μηδενικής Γνώσης στη Μεταθετική και Μη-Μεταθετική Κρυπτογραφία
Translated title:
Cryptosystems and Zero-Knowledge Proofs in Commutative and Non-Commutativ Cryptography
Summary:
Main purpose of the thesis is to contrast implementations from Commutative and Non-Commutative Cryptography. Thesis has three main axis:
A) Cryptosystems: It is about communication procedures (protocols) in which two entities are trying either to agree in a common piece of information (key-exchange protocols), either to exchange each other messages (encryption/decryption ciphers), in both cases in a presence of an enemy. Depending on elements that the procedures make use of, Cryptography can be distinguished in Commutative and Non-Commutative.
B) Digital Signatures: It is about the digital analog of the handmade signature. These procedures certify the originality of the person with which the communication is being established. Sometimes, digital signature schemes are obtained by alternating the encryption/decryption cipher roles.
C) Zero-Knowledge Proofs: It is about identification and authentication schmes. These schemes are leaded by both cryptosystems and implementation of computational hard cryptographic problems. Common purpose of the schemes is the try of an entity (smart card) to convince an another entity (terminal) for its authenticity, without any prior communication.
Main subject category:
Science
Keywords:
Cryptography, Commutative, Non-Commutative, cryptosystem, zero knowledge proof, elliptic curves, authentication, identification
Number of references:
103
