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Noiseless coding. Noisy Coding. Shannon Capacity. Notes from Reading [ Chapter 6 ].

2WC09 Coding Theory and Cryptology I - Fall 2011

Scribe notes tex , pdf. Lecture 03 Tue. Random codes. Linear codes. Gilbert-Varshamov theorems.

Asymptotics of error-correcting codes. Reading [ Chapter 1 and Chapter 4 ]. Lecture 04 Thu.

Read Algorithmic Introduction To Coding Theory

Pigeonhole argument, packing argument, geometric arguments. Reading [ Chapter 4 and Chapter 8 ].

Common Financial Analysis

Notes from , Scribed notes from Lecture 05 Tue. Algebraic codes: Reed-Solomon codes. Concatenated codes. Readings [ Chapter 8 , Chapter 5 ].

Coding Theory and Cryptology I

Lecture 06 Thu. Lecture 07 Tue. BCH codes. Codes from Multivariate polynomials: Reed-Muller, Hadamard. Notes from Reed-Muller etc. Lecture 08 Thu.


  1. Lecture notes for an algorithmic introduction to coding theory.
  2. reference request - Research in Coding Theory - Theoretical Computer Science Stack Exchange.
  3. reference request - Research in Coding Theory - Theoretical Computer Science Stack Exchange.
  4. Algorithmic Introduction to Coding Theory.

Algebraic Geometry Codes. Decoding Reed-Solomon Codes. Reading materials. Some of the old papers are very interesting to read. The actual history of the simple algorithm is not easy to determine. Here are some relevant links. The Peterson paper. The Welch-Berlekamp patent. Paper with P. Gemmell see Appendix A. Preprint of Ruud Pellikaan.

Paper by Duursma and Kotter. Actual reading: Chapter 13 of the text. Lecture 10 Thu. Achieving Shannon Capacity. Lecture 11 Tue. List-decoding Reed-Solomon Codes. Instructors: Anne Canteaut responsable , Alain Couvreur ,.

Objectives The aim of this course is to present common issues essential to the theory of error-correcting codes and to cryptology symmetric cryptography and public-key cryptosystems , with algorithmic and computational aspects. English Policy Lectures will be in French, but could be in English if some student asks for it.

Course Notes on Coding Theory

Lecture notes are in English. Prerequisite First-year master level in standard algebra, algorithms and cryptology. Sister courses: 2. Thursday, from to , building Sophie Germain Room The final grade is defined as the maximum between the grade of the final exam and the average of the grades of the partial exam and of the final exam. Parisian Master of Research in Computer Science.

Introduction to coding theory

Table of Contents. Error-correcting codes and applications to cryptography 24h, 3 ECTS. Preliminary schedule year Instructors: Anne Canteaut responsable , Alain Couvreur , Objectives The aim of this course is to present common issues essential to the theory of error-correcting codes and to cryptology symmetric cryptography and public-key cryptosystems , with algorithmic and computational aspects. Partial exam : November