About

I am currently a postdoctoral researcher at the Technical University of Munich in the group of Professor Antonia Wachter-Zeh. I completed my Ph.D. in Mathematics under the supervision of Professor Joachim Rosenthal at the University of Zurich. My research interests include cryptography, algebraic coding theory and number theory.

Publications

Journal Papers

• Giacomo Micheli, Severin Schraven, Violetta Weger. Local to global principle for expected values. Journal of Number Theory, 2021. Video Abstract | (and the Bloopers)
• Gianira Alfarano, Karan Khathuria, Violetta Weger. On single server private information retrieval in a coding theory perspective. Applicable Algebra in Engineering, Communication and Computing, 2021.
• Karan Khathuria, Joachim Rosenthal, Violetta Weger. Encryption scheme based on expanded Reed-Solomon codes. Advances in Mathematics of Communications, Volume 15, Issue 2, pp 207-218, 2020.
• Anna-Lena Horlemann-Trautmann, Violetta Weger. Information set decoding in the Lee metric with applications to cryptography. Advances in Mathematics of Communications, Volume 15, Nr 4, pp 677-699, 2021.
• Carmelo Interlando, Karan Khathuria, Nicole Rohrer, Joachim Rosenthal, Violetta Weger. Generalization of the ball-collision algorithm. Journal of Algebra Combinatorics Discrete Structures and Applications, Volume 7, Issue 2, pp 195-207, 2020.
• Karan Khathuria, Giacomo Micheli, Violetta Weger. On the algebraic structure of E_p^(m) and applications to cryptography. Applicable Algebra in Engineering, Communication and Computing, 2019.
• Giacomo Micheli, Violetta Weger. On rectangular unimodular matrices over the algebraic integers. SIAM Journal on Discrete Mathematics, Volume 33, Issue 1, pp 425-437, 2019.
• Giacomo Micheli, Violetta Weger. Cryptanalysis of the CLR Cryptosystem. Designs, Codes and Cryptography, Volume 87, Issue 5, pp 1069–1086, 2019.

Conference Proceedings

• Karan Khathuria, Joachim Rosenthal, Violetta Weger. Weight Two Masking of the Reed-Solomon Structure in Conjunction with List Decoding. Proceedings of MTNS2018, 2018.

Preprints

• Eimear Byrne, Anna-Lena Horlemann, Karan Khathuria, Violetta Weger. Density of Free Modules over Finite Chain Rings. 2021 (Submitted) arXiv
• Niklas Gassner, Marcus Greferath, Joachim Rosenthal, Violetta Weger. On Bounds for Ring-Based Coding Theory. 2021 (Submitted) arXiv
• Marco Baldi, Massimo Battaglioni, Franco Chiaraluce, Anna-Lena Horlemann-Trautmann, Edoardo Persichetti, Paolo Santini, Violetta Weger. A New Path to Code-based Signatures via Identification Schemes with Restricted Errors. 2020 (Submitted) arXiv
• Violetta Weger, Karan Khathuria, Anna-Lena Horlemann, Massimo Battaglioni, Paolo Santini, Edoardo Persichetti. On the Hardness of the Lee Syndrome Decoding Problem. 2020 (Submitted) arXiv

Thesis

• Ph.D. Thesis. Information Set Decoding in the Lee Metric and the Local to Global Principle for Densities. 2020.
• Master Thesis. A Code-Based Cryptosystem using GRS codes. 2017.

Talks

• On the density of free codes over finite chain rings. SIAM AG21, August 17, 2021, virtual. Slides
• On the hardness of the Lee syndrome decoding problem. CBCrypto 2021, June 22, 2021, virtual. Slides
• The Local-to-Global Principle for Densities. UCD Algebra and Number Theory Seminar, April 15, 2021, virtual. Slides
• Information set decoding in the Lee metric. CBCrypto 2020, May 9, 2020, virtual. Slides, Video
• Generalization of the ball-collision algorithm. July 18, 2019, Munich, DE. Slides
• Generalization of the ball-collision algorithm. SIAM Conference on Applied Algebraic Geometry, July 9, 2019, Bern, CH. Slides
• Generalization of the ball-collision algorithm. Code-Based Cryptography Workshop, May 19, 2019, Darmstadt, DE. Slides
• What is... the McEliece system? Zurich Graduate Colloquium, November 20, 2018, Zurich, CH. Slides
• On the density of rectangular unimodular matrices over the ring of algebraic integers Arbeitsgemeinschaft in Codierungstheorie und Kryptographie, June 6, 2018, Neuchatel, CH. Slides
• On the density of rectangular unimodular matrices over the ring of algebraic integers Number theory and coding theory: Contemporary applications in security, May 31, 2018, Turku, FI. Slides
• Weight Two Masking in the McEliece Public Key System SIAM Conference on Applied Algebraic Geometry, August 3, 2017, Atlanta, US. Slides
• Weight Two Masking in the McEliece System Fq13, June 5, 2017, Gaeta, IT. Slides
• A Code-Based Cryptosystem using GRS Codes Arbeitsgemeinschaft in Codierungstheorie und Kryptographie, December 07, 2016, Zurich, CH. Slides