Year: 2014
Type: dissertation
Abstract: The first code-based cryptosystem, McEliece, was invented in the very early development of public-key cryptography, yet code-based cryptosystems received little attention for decades due to their relatively large key-sizes. But recently they are re-discovered for their potentials to provide efficient post-quantum cryptographic tools and homomorphic encryption schemes, and the development of large storage and fast Internet have made these schemes closer to practice than ever. \n \nThrough our review of the revolution of code-based cryptography, we will demonstrate the usage of codes in cryptographic applicaitons. We will follow the path of the development, from the design, analysis, and implementation of McEliece cryptosystem and the quantum attack resistance to the latest fully homomorphic encryption scheme based on Learning with Errors, a code-related problem, designed by Brakerski et al. We will also cover algebraic manipulation detection codes, a newly proposed extension of error-correcting codes and a lightweight alternative to MACs as an authentication component embedded in security protocols.
Source: UWSpace (University of Waterloo)
Author: Yao Chen
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2531522071