NATO ASI 2014: Hyperelliptic Curve Cryptography

Ohrid, Macedonia

August 25 -- September 5, 2014

Supported by NATO grant 984724



NATO Advanced Study Institute: Hyperelliptic Curve Cryptography

Ohrid, Macedonia

August 25 - September 5, 2014

Directors: T. Shaska, E. Zhupa

Local Organizers:

Directors of ASI

Tony Shaska

Department of Mathematics and Statistics

Oakland University

Rochester, MI, 48309

Eustrat Zhupa

University for Information Science and Technology "St. Paul the Apostle"

Building at Arm

Partizanska bb,

6000, Ohrid Macedonia (FYROM)

Scientific Program

The goal of this ASI it to provide training and expertise to countries in the Ballkans, Middle East, and Mediterranean

region in developing and maintaining cryptosystems based on elliptic and hyperelliptic cryptography. We intend to provide courses on:

  • Curves and their Jacobians
  • Finite field arithmetic
  • Elliptic curves
  • The arithmetic of hyperelliptic curves
  • Pairings and Weil descent
  • Algebraic realizations of DL systems
  • Pairing based cryptography and smart cards
  • Implementation issues


To be completed

  1. q-Weierstrass points of hyperelliptic curves
  2. Selmer groups on hyperelliptic Jacobians
  3. Equations of hyperelliptic curves over their field of definition
  4. Weil descent on hyperelliptic curves
  5. Decomposition of hyperelliptic Jacobians
  6. Superelliptic curves


All lectures should be submitted to Prof. Shaska ( by May 15. 2014.


Ohrid and its surroundings

It is the largest city on Lake Ohrid. Ohrid is notable for once having had 365 churches, one for each day of the year, and has been referred to as a "Jerusalem (of the Balkans)". The city is rich in picturesque houses and monuments, and tourism is predominant. It is located southwest of Skopje, west of Resen and Bitola, close to the border with Albania. In 1979 and in 1980, Ohrid and Lake Ohrid were accepted as Cultural and Natural World Heritage Sites by UNESCO. In fact, Ohrid is one of only 28 sites that are part of UNESCO's World Heritage that are both Cultural and Natural sites. Find out more

Who can apply

All 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).


  • For financial support, June 15, 2014
  • Without financial support, July 15, 2014

Registration: There will be a registration fee of ??? Euro. We will waive such fee for all the students.

NATO countries: 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.

Partner 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.

Mediterranean Dialogue countries: Algeria , Egypt , Israel , Jordan , Mauritania , Morocco and Tunisia .

Visa requirements:

Proceeding Volume