aca2025

Combinatorial and Geometrical Methods in Contemporary Coding Theory

The design of error-correcting codes for the reliable transmission of information across noisy channels plays a crucial role in the modern era due to the massive overall communication traffic. To this aim, it has been necessary to develop sophisticated algebraic, combinatorial and geometric tools in order to construct codes that can correct as many errors as possible in a very efficient way. 

This session, which will be held in Heraklion (Greece) as part of the conference 30th Applications of Computer Algebra - ACA 2025, is focused on the application of computer algebra to coding theory which, together with classical and new methods from combinatorics and geometry, can be used to obtain several and important results, such as construction of optimal codes, definition of efficient encoding and decoding algorithms and the study of algebraic, geometric and combinatorial problems arising from practical problems in coding theory.

We wish to invite talks about recent results and developments in coding theory, including but not restricted to:

• Algebraic coding theory and algorithms

• Rank & Sum-rank metric codes

• Algebraic geometry codes

• Graph theory methods in coding theory

• Convolutional and quantum codes

• Combinatorial algorithms

• Computational results

• Related algebraic and combinatorial structures.

Invited Speakers

• Luca Bastioni (University of South Florida)

• Elisa Junghans (Ilmenau University of Technology)

• Julia Lieb (Ilmenau University of Technology)

• Alessandro Neri (University of Naples Federico II)

• Michael Shaller (University of Zurich)

• Valentino Smaldore (University of Padua)

• Rocco Trombetti (University of Naples Federico II)

• Carlos Vela (University of St. Gallen)