Anna-Lena
Horlemann-Trautmann

School of Computer Science,
University of St. Gallen, Switzerland

Publications

Journals and Book Chapters

  1. The Subfield Metric and its Application to Quantum Error Correction
    Markus Grassl, Anna-Lena Horlemann and Violetta Weger
    To appear in Journal of Algebra and Applications, 2023.

    Densities of Codes of Various Linearity Degrees in Translation-Invariant Metric Spaces
    Anina Gruica, Anna-Lena Horlemann, Alberto Ravagnani and Nadja Willenborg
    In Designs, Codes and Cryptography, Special Issue: Coding and Cryptography 2022.

    Distinguishing and Recovering Generalized Linearized Reed-Solomon Codes
    Felicitas Hörmann, Hannes Bartz and Anna-Lena Horlemann
    In CBCrypto 2022, Lecture Notes in Computer Science, vol. 13839, December 2022.

    Density of Free Modules over Finite Chain Rings
    Eimear Byrne, Anna-Lena Horlemann, Karan Khathuria and Violetta Weger
    In Linear Algebra and its Applications, vol. 651, pages 1-25, October 2022.

    On the Hardness of the Lee Syndrome Decoding Problem
    Violetta Weger, Karan Khathuria, Anna-Lena Horlemann, Massimo Battaglioni, Paolo Santini and Edoardo Persichetti
    Online first in Advances in Mathematics of Communications, April 2022.

    Information Set Decoding with Hints
    Anna-Lena Horlemann, Sven Puchinger, Julian Renner, Thomas Schamberger and A. Wachter-Zeh
    In CBCrypto 2021, Lecture Notes in Computer Science, vol. 13150, March 2022.

    Constructing Partial MDS Codes from Reducible Curves
    Tristram Bogart, Anna-L. Horlemann-Trautmann, David Karpuk, Alessandro Neri and Mauricio Velasco
    In SIAM Journal on Discrete Mathematics, vol. 35 no. 4, pages 2946-2970, December 2021.

    Information Set Decoding in the Lee Metric with Applications to Cryptography
    Anna-Lena Horlemann-Trautmann and Violetta Weger
    In Advances in Mathematics of Communications, vol. 15 no. 4, pages 677-699, November 2021.

    Equivalence and Characterizations of Linear Rank-Metric Codes Based on Invariants
    Alessandro Neri, Sven Puchinger, Anna-Lena Horlemann-Trautmann
    In Linear Algebra and its Applications, vol. 603, pages 418-469, October 2020.

    Random Construction of Partial MDS Codes
    Alessandro Neri and Anna-Lena Horlemann-Trautmann
    In Designs, Codes and Cryptography, vol. 88, pages 711-725, April 2020

    A Complete Classification of Partial-MDS (Maximally Recoverable) Codes with One Global Parity
    Anna-Lena Horlemann-Trautmann and Alessandro Neri
    In Advances in Mathematics of Communications, vol. 14 no. 1, pages 69-88, February 2020.

    Symbol Erasure Correction in Random Networks with Spread Codes
    Heide Gluesing-Luerssen and Anna-Lena Horlemann-Trautmann
    In IEEE Transaction on Information Theory, volume 65 no. 4, pages 2075-2091, November 2019.


    t-Private Information Retrieval Schemes Using Transitive Codes
    Ragnar Freij-Hollanti, Oliver Gnilke, Camilla Hollanti, Anna-Lena Horlemann-Trautmann, David Karpuk and Ivo Kubjas
    In IEEE Transaction on Information Theory, volume 65 no. 4, pages 2107-2118, September 2019.

    Constructions of Constant Dimension Codes
    Anna-Lena Horlemann-Trautmann and Joachim Rosenthal
    In Signals and Communication Technology, Network Coding and Subspace Designs, pp. 25-42, 2018.

    Message Encoding and Retrieval for Spread and Orbit Codes
    Anna-Lena Horlemann-Trautmann
    In Designs, Codes and Cryptography, vol. 86, no. 2, pages 365-386, 2017/2018.

    On the Genericity of Maximum Rank Distance and Gabidulin Codes
    Alessandro Neri, Anna-Lena Horlemann-Trautmann, Tovohery Randrianarisoa, Joachim Rosenthal
    In Designs, Codes and Cryptography, vol. 86, no. 2, pages 341-363, 2017/2018.

    Extension of Overbeck's Attack for Gabidulin Based Cryptosystems
    Anna-Lena Horlemann-Trautmann, Kyle Marshall and Joachim Rosenthal
    In Designs, Codes and Cryptography, vol. 86, no. 2, pages 319-340, 2017/2018.

    Morphological Diversity Strongly Constrains Synaptic Connectivity and Plasticity
    Michael Reimann, Anna-Lena Horlemann, Srikanth Ramaswamy, Eilif Muller, Henry Markram
    In Cerebral Cortex, volume 27 no. 9, pages 4570–4585, September 2017.

    New Criteria for MRD and Gabidulin Codes and some Rank-Metric Code Constructions 
    Anna-Lena Horlemann-Trautmann and Kyle Marshall
    In Advances in Mathematics of Communications (AMC), volume 11 no. 3, pages 533-548, AIMS, August 2017.


    Subspace Fuzzy Vault
    Kyle Marshall, Davide Schipani, Anna-Lena Trautmann and Joachim Rosenthal
    In Physical and Data-Link Security Techniques for Future Communication Systems, Lecture Notes in Electrical Engineering, pages 163-172, Springer, November 2015.

    Subspace Codes based on Graph Matchings, Ferrers Diagrams and Pending Blocks
    Natalia Silberstein and Anna-Lena Trautmann
    In IEEE Transaction on Information Theory, volume 61 no. 7, pages 3937-3953, May 2015.

    On the Geometry of Balls in the Grassmannian and List Decoding of Lifted Gabidulin Codes
    Joachim Rosenthal, Natalia Silberstein and Anna-Lena Trautmann
    In Designs, Codes and Cryptography, volume 73, pages 393-416, Springer, November 2014.

    Spread Decoding in Extension Fields
    Felice Manganiello and Anna-Lena Trautmann 
    In Finite Fields and Applications, volume 25, pages 94-105, January 2014.


    Cyclic Orbit Codes
    Anna-Lena Trautmann, Felice Manganiello, Michael Braun and Joachim Rosenthal
    In IEEE Transactions on Information Theory, volume 59 no. 11, pages 7386-7404, November 2013. 

    Isometry and Automorphisms of Constant Dimension Codes
    Anna-Lena Trautmann
    In Advances in Mathematics of Communications (AMC), volume 7 no. 2, pages 147-160, AIMS, May 2013.

    Decoding Subspace Codes, a Problem of Schubert Calculus over Finite Fields
    Joachim Rosenthal and Anna-Lena Trautmann
    In Mathematical System Theory -- Festschrift in Honor of Uwe Helmke on the Occasion of his Sixtieth Birthday, pages 353-366, Create Space, February 2013.

    A Complete Characterization of Irreducible Cyclic Orbit Codes and their Plücker Embedding
    Joachim Rosenthal and Anna-Lena Trautmann
    In Designs, Codes and Cryptography, volume 66, pages 275-289, Springer, January 2013.

Conference Papers

On the Density of Codes over Finite Chain Ring
Anna-Lena Horlemann, Violetta Weger and Nadja Willenborg
In IEEE Information Theory Workshop (ITW) Proceedings, France, June 2023.

Galois Hull Dimension of Gabidulin Codes
Habibul Islam and Anna-Lena Horlemann
In IEEE Information Theory Workshop (ITW) Proceedings, France, June 2023.

Invariants and Inequivalence of Linear Rank-Metric Codes
Alessandro Neri, Sven Puchinger and Anna-Lena Horlemann-Trautmann
In Information Theory Proceedings (ISIT) 2019 IEEE International Symposium on, Paris, France, July 2019.

Reed-Muller Codes for Private Information Retrieval
Ragnar Freij-Hollanti, Oliver Gnilke, Camilla Hollanti, Anna-Lena Horlemann-Trautmann, David Karpuk and Ivo Kubjas
In International Workshop on Coding and Cryptography (WCC) 2017, St. Petersburg, Russia, September 2017.

Considerations for Rank-based Cryptosystems
Anna-Lena Horlemann-Trautmann, Kyle Marshall and Joachim Rosenthal
In Information Theory Proceedings (ISIT), 2016 IEEE International Symposium on, Barcelona, Spain, July 2016.

Cross-packing lattices for the Rician fading channel
Amin Sakzad, Anna-Lena Trautmann and Emanuele Viterbo
In Information Theory Workshop (ITW) Proceedings, Jerusalem, Israel, April-May 2015.

Iterative List-Decoding of Gabidulin Codes via Gröbner Based Interpolation
Margreta Kuijper and Anna-Lena Trautmann
In Information Theory Workshop (ITW) Proceedings, Hobart, Australia, November 2014.

Cross-Error Correcting Codes Over Z_{2^m}
Anna-Lena Trautmann and Emanuele Viterbo
In Information Theory and Its Applications (ISITA) Proceedings, Melbourne, Australia, October 2014.

List Decoding Gabidulin Codes via Interpolation and the Euclidean Algorithm
Margreta Kuijper and Anna-Lena Trautmann
In Information Theory and Its Applications (ISITA) Proceedings, Melbourne, Australia, October 2014.

Message Encoding for Spread and Orbit Codes
Anna-Lena Trautmann
In Information Theory Proceedings (ISIT), 2014 IEEE International Symposium on, Honolulu, USA, July 2014.

New Lower Bounds for Constant Dimension Codes
Anna-Lena Trautmann and Natalia Silberstein
In Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on, Istanbul, Turkey, July 2013.

List Decoding of Lifted Gabidulin Codes via the Plücker Embedding
Anna-Lena Trautmann, Natalia Silberstein and Joachim Rosenthal
In Preproceedings of the International Workshop on Coding and Cryptography (WCC) 2013, pages 539–549, Bergen, Norway, April 2013.
  
On Burst Error Correction and Storage Security of Noisy Data
Felix Fontein, Kyle Marshall, Joachim Rosenthal, Davide Schipani and Anna-Lena Trautmann
In Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems - MTNS, Melbourne, Australia, 2012.

Plücker Embedding of Cyclic Orbit Codes
Anna-Lena Trautmann
In Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems - MTNS, Melbourne, Australia, 2012.

On Conjugacy Classes of Subgroups of the General Linear Group and Cyclic Orbit Codes
Felice Manganiello, Anna-Lena Trautmann and Joachim Rosenthal
In Information Theory Proceedings (ISIT), 2011 IEEE International Symposium on, pages 1916-1920, July-August 2011.

A Complete Characterization of Irreducible Cyclic Orbit Codes
Anna-Lena Trautmann and Joachim Rosenthal
In Proceedings of the Seventh International Workshop on Coding and Cryptography (WCC) 2011, pages 219-223, Paris, France, April 2011.

Orbit Codes - A New Concept in the Area of Network Coding
Anna-Lena Trautmann, Felice Manganiello and Joachim Rosenthal
In Proceedings of the Information Theory Workshop (ITW), 2010 IEEE , pages 1-4, Dublin, Ireland, August 2010.

New Improvements on the Echelon-Ferrers Construction
Anna-Lena Trautmann and Joachim Rosenthal
In Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS , pages 405-408, Budapest, Hungary, 2010.

 

Theses

Constructions, Decoding and Automorphisms of Subspace Codes
Anna-Lena Trautmann
PhD thesis at the University of Zurich under supervision of Prof. Dr. J. Rosenthal.


Planar Radius of Convergence and Logarithm
Anna-Lena Trautmann
Diploma thesis at the Ruhr-Universität Bochum under supervision of Prof. Dr. L. Gerritzen.

 

Outreach

Lebensversicherung für Daten
Anna-Lena Horlemann-Trautmann
VSAO Journal Nr. 5, pages 29-30, October 2016

Error correcting codes - Life Insurance for your data
Anna-Lena Horlemann-Trautmann
HSG Focus 1/2020, February 2020