## Scientific programmeThe goal of this summer institute is to discuss the new challenges in communication theory from a mathematical viewpoint. The lectures will be focused on 3 main directions: - Computational algebra and communication theory
- New trends in coding theory
- Computer security and cryptography
We intend to provide the mathematical background and tools for young researchers who want to enter these exciting areas. ## Lectures- W. Huffman, Codes with automorphisms (4 lectures)
- G. Nebe, Self-dual codes and invariant theory. (3 lectures)
- V. Pless, Self-dual and Formally Self-dual Codes (2 lectures)
- E. Previato, Algebraic-geometric codes (Goppa codes) an vector bundles (3 lectures)
- V. Tonchev, Combinatorial Designs and Code Synchronization (3 lectures)
- I. Shparlinski, Arithmetic Structure of Integers and Cryptography ( 3 lectures)
- J. Gutierrez, Lattices in Algorithms and Cryptography (3 lectures)
- V. Ustimenko, Extremal graph theory and its applications in coding theory and cryptography. (3 lectures)
- A. Stein, Real and Imaginary hyperelliptic curve cryptography (3 lectures)
- F. Luca, Carmichael's lambda-function and cryptographic applications. (3 lectures)
- K. Magaard, Algebraic curves and their automorphism groups (3 lectures)
- S. Shpectorov, Algebraic computations with Riemann surfaces (3 lectures)
- T. Shaska, Cyclic covers of the projective line and their applications in coding theory and cryptography. (4 lectures)
- A. Elezi, String theory and enumerative geometry and their applications. (3 lectures)
## Talks- Invited talk: Mirela Ciperiani, Genus one curves over Q
- A. Kohnert, Construction of codes for cryptographic purposes using automorphism groups.
- A. Gunther, On self-dual permutation codes
- A. Gomilko, An introductory overview of turbo codes and their applications
- C. Shor, Quantum algebraic geometry codes from algebraic curves with automorphisms.
- S. Jakub Kotorowicz, On the evaluation of some graph based stream ciphers via simulation
- A. Wróblewska, On the algebraic graphs of large girth, pseudorandom sequences and their cryptographical applications
- M. Wrobel, Small-world network modeling with applications to coding theory
- S. Chopuryan, The Stability of Trapdoor One Way Function Based on Finite Automata
- L. Szalay, Huge number of large random primes - experiences of an experiment
## Schedule## AccommodationsHotels: The conference will be held at Vlora International Hotel. This is a five star hotel with very nice facilities. There is a pool, gym, wireless internet in every room, state of the art conference rooms, bar, and restaurant, It is about 50 meters from the sea and in the center of Skela, which is one of the most beautiful parts of Vlora. For conference participants we have negotiated a rate of 40 Euro per night. Please let us know your dates of arrival/departure and we will book the hotel for you.If you prefer an apartment or want to stay in other hotels we are willing to help also. Transportation to/from airportWe will provide transportation to and from "Mother Teresa" airport in Tirana during April 25-28 and May 8-10 We will pick up everybody who comes through the port of Vlora MealsThere are many restaurants with reasonable prices near the conference site. Information will be provided at arrival. Excursion- There will be an excursion to the city of Butrint (Saranda) during the weekend of May 3-4, 2008
- Visiting Gjirokastra
- Excursion to ruins of the ancient city of Apollonia
- Excursion to the Castle Kanina
- Boat trip to Karaburun
| ## Directors- T. Shaska
## Local Organizers- Pranvera Resuli
## Proceedings VolumeDevelopments of the last few decades in digital communications have created a close link between mathematics and areas of computer science and electrical engineering. A collaboration between such areas now seems very natural, due to problems which require deep knowledge and expertise in each area. Algebra and some of its branches, such as algebraic geometry, computational algebra, group theory, etc., have played a special role in such collaboration. As a result, there are now disciplines such as coding theory and cryptography, which are considered a mix of mathematics, computer science and electrical engineering. Algebraic Aspects of Digital Communications focuses on connections between algebra, algebraic geometry, number theory, graph theory and related areas of mathematics with coding theory and cryptography. This publication is aimed at mathematicians, computer scientists and engineers who need to explore ties between algebra and coding theory and cryptography. IOS Press is an international science, technical and medical publisher of high-quality books for academics, scientists, and professionals in all fields. ## Who can applyWho can applyAll mathematicians, computer scientists, electrical engineers interested in communication theory who are residing in NATO countries, NATO partner countries, or Mediterranean dialogue countries are encouraged to apply. Admission decisions will be made by the organizing committee. We expect to be able to cover expenses for most of the participants (travel/hotel/meals). Deadlines:- For financial support, November 30, 2007
- Without financial support, February 15, 2008
Registration: There will be a registration fee of 200 Euro. We will waive such fee for all the students. Belgium, Bulgaria, Canada, Czech Republic, Denmark, Estonia, France, Germany, Greece, Hungary, Iceland, Italy, Latvia, Lithuania, Luxembourg, Netherlands, Norway, Poland, Portugal, Romania, Slovak Republic, Slovenia, Spain, Turkey, United Kingdom and United States.NATO countries: Albania, Armenia, Austria, Azerbaijan, Belarus, Bosnia and Herzegovina, Croatia, Finland, Georgia, Ireland, Kazakhstan, Kyrgyz Republic, Moldova, Montenegro, Russian Federation, Serbia, Tajikistan, the former Yugoslav Republic of Macedonia, Sweden, Switzerland, Turkmenistan, Ukraine and Uzbekistan.Partner countries: Algeria , Egypt , Israel , Jordan , Mauritania , Morocco and Tunisia .Mediterranean Dialogue countries:Visa requirements:Dealing with Albanian authorities can be frustrating and time consuming. All participants from North America and European Union do not need visas to visit Albania. However, people from other countries might need visas. The conference organizers will send a formal invitation for visa purposes to everybody who will need a visa. However, we are not responsible for helping with visa issues. Please visit the website of the Ministry of Foreign Affairs of Albania to find information how to apply for a visa.## NATO Advanced Study Institute: New Challenges in Digital Communications## SupportThis 2 weeks conference was made possible from the generous support of |

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