Algebraic Coding and Cryptography
on the East coast
Seminar Series

Online Event

ACCESS is a joint effort designed to highlight world-class research in coding theory, cryptography, and related areas and to encourage collaboration among its participants.

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Next seminar
Oct 5

Violetta Weger
Technical University of Munich

Behaviour of random ring-linear codes

Abstract: Using new metrics and new ambient spaces seems to be a promising direction for code-based cryptography. For example using finite chain rings or the Lee metric. However, before we can deem such a setting secure we need further research in this area. In this talk we focus on a very basic question: what kind of code parameters should we expect for a random code over a finite chain ring?

To answer this question we will split the talk into two parts. In the first part we will see how likely it is that a random code over a finite chain ring is free. This part has interesting intersections with topics in number theory and combinatorics. In the second part we will study some bounds on the minimum distance, always with the aim of determining how likely it is that a random code achieves the bound. For this we will direct our focus on the Lee metric and codes achieving the Singleton- and Plotkin-like bounds. Finally, we turn to the Gilbert-Varshamov bound for any additive weight over a finite chain ring.

Biography. Violetta Weger is a postdoctoral researcher at the Technical University of Munich. She completed her Ph.D. in Mathematics under the supervision of Professor Joachim Rosenthal at the University of Zurich. Her area of research is in ring-linear coding theory, code-based cryptography and density questions in number theory.

Organizing team

Felice Manganiello - Clemson University

Gretchen Matthews - Virginia Tech

Edoardo Persichetti - Florida Atlantic University

Material made avaliable to us by the speakers will be posted in the archive page.

ACCESS calendar

The Speakers

Jean Belo Klamti
University of Waterloo

Swanand Ravindra Kadhe
University of California Berkeley

Alessandra Scafuro
North Carolina State University

Violetta Weger
Technical University of Munich

Gustavo Banegas

Angela Robinson

Lubjana Beshaj
Army Cyber Institute, and United States Military Academy West Point

Ayoub Otmani
University of Rouen Normandy

Anna-Lena Horlemann
University of St. Gallen, Switzerland

Cem Guneri
Sabancı University

Daniel Augot
INRIA and École polytechnique

Elisa Gorla

University of Neuchatel Switzerland

Alain Couvreur
INRIA Saclay & LIX, École Polytechnique

Robert Calderbank
Duke University

Venkatesan Guruswami
Carnegie Mellon University

Sarah McCarthy
University of Waterloo

Fernando Piñero
University of Puerto Rico in Ponce

Travis Morrison
Virginia Tech

Olgica Milenkovich

University of Illinois, Urbana-Champaign

Maria Montanucci

Technical University of Denmark

Alberto Ravagnani
Eindhoven University of Technology

Giacomo Micheli
University of South Florida

Marco Baldi
Università Politecnica delle Marche

Nathan Kaplan
University of California, Irvine

Yongge Wang
North Carolina State University

Heide Gluesing-Luerssen
University of Kentucky

Ha Tran
Concordia University

Tovohery Randrianarisoa
Florida Atlantic University

Emina Soljanin
Rutgers University

Daniel Smith-Tone
University of Louisville & NIST

Alexander Barg
University of Maryland

Ryann Cartor
Clemson University