Shakir ALI,
Department of Mathematics, Aligarh Muslim University, India,
Eylem GUZEL KARPUZ,
Department of Mathematics, Karamanoglu Mehmetbey University, Turkiye,
Shanta LAISHRAM,
Theoretical Statistical & Mathematics Unit (SMU), Indian Statistical Institute
Ahmet SINAK,
Manavgat Faculty of Social Sciences and Humanities, Akdeniz University, Turkiye
Elif Segah OZTAS,
Department of Mathematics, Karamanoglu Mehmetbey University, Turkiye
Nadeem Ur REHMAN,
Department of Mathematics, Aligarh Muslim University, India
Courses:
1) Groups
Speaker: Eylem Guzel Kapuz
The basics of Groups will be given for Coding theory and Cryptography
2) Rings and modules,
Speaker: Cihat Abdioglu
The basics of Rings and modules will be given for Coding theory and Cryptography
3) Finite Fields, Field Extensions
Speaker: Shakir Ali
Basic algebra and finite fields to be used in coding theory courses will be given in this course.
The main purpose of this course is to introduce finite fields and field extensions.
4) Basics of Algebraic Coding Theory
Speaker: Nadeem Ur Rehman
In this course, subjects such as linear codes and cyclic codes will be covered.
Speaker: Elif Segah Oztas
In this course, subjects such as Reed-Muller codes, Subfield codes, Trace Codes, BCH codes, Reed–Solomon codes, and Goppa codes, which are the basics of coding theory, will be covered.
5) Basics of Number Theory and Cryptography
Speaker: Shanta LAISHRAM,
Number Theory: The basics of number theory required for Cryptography, including faster algorithms. Number Theoretic Cryptography: Primality, Factoring and Discrete log algorithms, Introduction to Elliptic Curves and Cryptography.
5) Introduction to Cryptography
Speaker: Ahmet Sinak
In this course, subjects such as Public Key Cryptography, Discrete Logarithm Problem, Related Protocols: Digital Signature Algorithm (DSA and ECDSA), Factorization Problem, Related Protocols: RSA Encryption and Signature Algorithm, Post-Quantum Cryptography (PQC) and the NIST PQC Standardization Process, Hard Problems, Code-Based Cryptography, Preliminaries from Coding Theory, Classic McEliece and Niederreiter cryptosystems, Secret sharing schemes, and Minimal linear codes will be covered.
6) Programming Applications with MAGMA Algebra
Speaker: Elif Segah Oztas
In this course, finite fields, field extensions, coding theory and cryptography applications will be given to the participants by using the MAGMA algebra program.