About

I am a Marie Skłodowska-Curie Fellow  at the Technical University of Munich in the group of Professor Antonia Wachter-Zeh and at Eindhoven University of Technology in the Mathematical Communication Theory group of Professor Alberto Ravagnani. I obtained my Ph.D. in Mathematics at the University of Zurich under the supervision of Professor Joachim Rosenthal. My research interests include cryptography, algebraic coding theory and number theory.

Publications

Journal Papers

• Nadja Willenborg, Anna-Lena Horlemann, Violetta Weger. On the Number of t-Lee-Error-Correcting Codes. Advances in Mathematics of Communications, 2023. arXiv
• Markus Grassl, Anna-Lena Horlemann, Violetta Weger. The Subfield Metric and its Application to Quantum Error Correction. Journal of Algebra and its Applications, 2023. arXiv
• Giacomo Micheli, Severin Schraven, Simran Tinani, Violetta Weger. Geometric sieve over number fields for higher moments. Research in Number Theory, 2023.
• Eimear Byrne, Violetta Weger. Bounds in the Lee Metric and Optimal Codes. Finite Fields and Their Applications, Volume 87, 102151, 2023.
• Violetta Weger, Karan Khathuria, Anna-Lena Horlemann, Massimo Battaglioni, Paolo Santini, Edoardo Persichetti. On the Hardness of the Lee Syndrome Decoding Problem. Advances in Mathematics of Communications, 2022.
• Niklas Gassner, Marcus Greferath, Joachim Rosenthal, Violetta Weger. Bounds for Coding Theory over Rings. Entropy, Volume 24, Issue 10, 2022.
• Eimear Byrne, Anna-Lena Horlemann, Karan Khathuria, Violetta Weger. Density of Free Modules over Finite Chain Rings. Linear Algebra and its Applications, Volume 651, 2022
• Giacomo Micheli, Severin Schraven, Violetta Weger. Local to global principle for expected values. Journal of Number Theory, Volume 238, 2022. 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, 2021.
• 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, Volume 32, Issue 4, pp 495-505, 2021.
• 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

• Stefan Ritterhoff, Georg Maringer, Sebastian Bitzer, Violetta Weger, Patrick Karl, Thomas Schamberger, Jonas Schupp, Antonia Wachter-Zeh. FuLeeca: Lee-metric signature scheme. CBCrypto 2023. Lecture Notes in Computer Science, Springer. Eprint
• Marco Baldi, Sebastian Bitzer, Alessio Pavoni, Paolo Santini, Antonia Wachter-Zeh, Violetta Weger. Generic Decoding of Restricted Errors. ISIT 2023, arXiv
• Anna-Lena Horlemann, Violetta Weger, Nadja Willenborg On the Density of Codes over Finite Chain Rings. ITW 2023, arXiv
• Sebastian Bitzer, Julian Renner, Antonia Wachter-Zeh, Violetta Weger. Generic Decoding in the Cover Metric. ITW 2023 arXiv
• Jessica Bariffi, Karan Khathuria, Violetta Weger. Information Set Decoding for Lee-Metric Codes using Restricted Balls. CBCrypto 2022. Lecture Notes in Computer Science, Springer.
• Anmoal Porwal, Lukas Holzbaur, Hedongliang Liu, Julian Renner, Antonia Wachter-Zeh, Violetta Weger. Interleaved Prange: A New Generic Decoder for Interleaved Codes. PQCrypto 2022. Lecture Notes in Computer Science, vol 13512. Springer, Cham.
• Karan Khathuria, Joachim Rosenthal, Violetta Weger. Weight Two Masking of the Reed-Solomon Structure in Conjunction with List Decoding. Proceedings of MTNS2018, 2018.

Book Chapters

• Violetta Weger, Niklas Gassner, Joachim Rosenthal. A survey on code-based cryptography. 2022 arXiv

Preprints

• Jessica Bariffi, Violetta Weger. Better bounds on the minimal Lee distance. 2023 (Submitted) arXiv
• Marco Baldi, Sebastian Bitzer, Alessio Pavoni, Paolo Santini, Antonia Wachter-Zeh, Violetta Weger. Zero Knowledge Protocols and Signatures from the Restricted Syndrome Decoding Problem. 2023 (Submitted) Eprint
• 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

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.

NIST Submissions

• CROSS: Codes and Restricted Objects Signature Scheme. Submitters: Marco Baldi, Alessandro Barenghi, Sebastian Bitzer, Patrick Karl, Felice Manganiello, Alessio Pavoni, Gerardo Pelosi, Paolo Santini, Jonas Schupp, Freeman Slaughter, Antonia Wachter-Zeh, Violetta Weger. NIST PQC Call for Additional Digital Signature Schemes, 2023. Round 1 Submission.
• FuLeeca: A Lee-based signature scheme. Stefan Ritterhoff, Sebastian Bitzer, Patrick Karl, Georg Maringer, Thomas Schamberger, Jonas Schupp, Georg Sigl, Antonia Wachter-Zeh, Violetta Weger. NIST PQC Call for Additional Digital Signature Schemes, 2023. Round 1 Submission.

Talks

• Open Problems in Code-Based Cryptography. Colloquium on Coding Theory and Cryptography, November 8, 2023. Ghent, BE.
• CROSS: Signature scheme with restricted errors. Deutsche Mathematiker Vereinigung, September 25, 2023. Ilmenau, DE. Slides
• Introduction to code-based signatures. Finite Geometry and Friends, September 20, 2023. Brussels, BE. Slides
• Recent Advances in Code-based Signatures. CAST: Quantentechnologie und Quantencomputer-resistente Sicherheit, September 7, 2023. Darmstadt, DE. Slides
• The rise and fall of FuLeeca. 2nd Oxford Post-quantum Cryptography Workshop, September 5, 2023. Oxford, GBR. Slides
• How to sign using restricted errors. LNT Doktorandenseminar, July 24, 2023. Munich, DE. Slides
• The search for the right support: better bounds for the Lee metric. SIAM AG23, July 13, 2023. Eindhoven, NL. Slides (Fighting the Mic) Video
• How to sign using restricted errors. 29th Nordic Congress of Mathematicians with EMS, July 3, 2023. Aalborg, DK. Slides
• The search for the right support: better bounds for the Lee metric. Fq15, June, 23, 2023. Paris, Fr. Slides
• The search for the right support: better bounds for the Lee metric. COD Seminar, May 16, 2023. Munich, DE. Slides
• Signature Scheme from Restricted Errors. CBCrypto 2023, April 22, 2023. Lyon, FR. Slides
• Recent Advances in Code-based Signatures. Selected Topics in Science and Techology, March 22, 2023. Munich, DE. Slides
• Recent Advances and Challenges in Code-based Signatures. CrossFyre 2022, October 7, 2022, Passau, DE. Slides
• On the Density of Free Codes over Finite Chain Rings. Combinatorics 22, June 3, 2022, Mantova, IT. Slides
• Bounds and optimal codes in the Lee metric. Arbeitsgemeinschaft in Codierungstheorie und Kryptographie, May 11, 2022, St.Gallen, CH. Slides
• Why the cover metric is the weirdest metric ever. COD Seminar, May 3, 2022, Munich, DE. Slides
• Bounds and optimal codes in the Lee metric. PICS Seminar, January 27, 2022, virtual. Slides
• Ring-linear codes. Doctoral Seminar, December 1, 2021, Munich, DE.Slides
• How to sign using a secret. COD Seminar, October 26, 2021, Munich, DE.Slides
• Behaviour of random ring-linear codes. ACCESS, October 5, 2021, virtual.Slides
• 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.SlidesVideo
• Classical information theory. Quantum information seminar UZH, March 13, 2020, virtual.Slides
• Generalization of the ball-collision algorithm. COD Seminar, 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.