Cryptographic applications of BCH, QC-MDPC, gabidulin codes and performance analyses of some code-based post-quantum algorithms

In this thesis, some of the code-based algorithms nominated within the scope of NIST Post-Quantum Cryptography Standardization call are examined and their performance is measured by running on specific computers for 128-bits, 192-bits and 256-bits security levels. In this context, prominent HQC and BIKE algorithms were examined. Besides, the RQC candidate algorithm, which has similar characteristics with HQC, is also considered. For this purpose, BCH, QC-MDPC and Gabidulin code families used in algorithms were examined and exemplified. Further, the operation steps of the HQC algorithm using the BCH code family are implemented on the sample.