Coding
Short Course on
Coding and Information Theory
University of Isfahan
December 31, 2019
Moderator: Reza Sobhani(r.sobhani@sci.ac.ir)
Lectures 1 & 2
Title: Foundation and Applications of Euclidean Lattices
Instructor: Amin Sakzad (Monash University, Australia)
Date: Tuesday, December 31, 2019
Time: 09:00 - 10:00 & 10:30 - 11:30
Venue: Department of Mathematical Sciences, Seminar Room 1
Abstract:

In this talk, I will briefly introduce Euclidean lattices. I will then summarize the (hard) problems related to lattices in Mathematics, Computer Science, and Wireless Communications. I will then present some well-known structured and unstructured lattice-based encryption schemes.

Lectures 3 & 4
Title: Matrix-Product Structure for Repeated-Root Cyclic Codes
Instructor: Reza Sobhani (University of Isfahan, Iran)
Date: Tuesday, December 31, 2019
Time: 14:00 - 14:45 & 15:00 - 15:45
Venue: Department of Mathematical Sciences, Seminar Room 1
Abstract:

Cyclic codes are important classes of linear codes due to their rich algebraic structure. In this talk I present a structure for the repeated-root cyclic codes based on a combinatorial structure called matrix-product structure.

Lecture 5
Title: LDPC Codes Based on Affine and Mobius Transformations
Instructor: Mohammad Gholami (Shahrekord University, Iran)
Date: Tuesday, December 31, 2019
Time: 16:00 - 17:00
Venue: Department of Mathematical Sciences, Seminar Room 1
Abstract:

In this talk, I introduce two classes of Low-Density Parity-Check (LDPC) codes based on affine permutation matrices and Mobius transformation. I discuss some advantages of these codes in comparision with quasi-cyclic LDPC codes.