Gianira Nicoletta Alfarano

About Publications Teaching Talks Contact

ABOUT

I completed my Ph.D. in Mathematics under the supervision Prof. Dr. Joachim Rosenthal at the University of Zurich, on June 2022. From October 2022 I am a postdoctoral researcher in the Mathematical Communication Theory group at TU Eindhoven, working in the team of Prof. Dr. Alberto Ravagnani, funded by the Swiss National Science Foundation grant number 210966. My research interests include Algebraic Coding Theory, Finite Fields, Combinatorics, Finite Geometry.

List of Co-authors

Christof Beierle, Eimear Byrne, Martino Borello, Anina Gruica, Takanori Isobe, Karan Khathuria, Altan B. Kılıç, Stefan Kölbl, Gregor Leander, Julia Lieb, Fco. Javier Lobillo Borrero, Diego Napp, Alessandro Neri, Alberto Ravagnani, Veronica Requena, Joachim Rosenthal, Emina Soljanin, Simran Tinani, Antonia Wachter-Zeh, Violetta Weger, Ferdinando Zullo.

NEWS

PUBLICATIONS

Journal Papers

  1. G. N. Alfarano, D. Napp, A. Neri, V. Requena. Weighted Reed-Solomon convolutional codes. Linear and Multilinear Algebra (2022)
  2. G. N. Alfarano, M. Borello, A. Neri, A. Ravagnani. Linear Cutting Blocking Sets and Minimal Codes in the Rank Metric. Journal of Combinatorial Theory, Series A (2022)
  3. G. N. Alfarano, A. Gruica, J. Lieb, J. Rosenthal. Convolutional codes over finite chain rings, MDP codes and their characterization. Advances in Mathematics of Communications (2022)
  4. G. N. Alfarano, F.J. Lobillo, A. Neri, A. Wachter-Zeh. Sum-rank product codes and bounds on the minimum distance. Finite Fields and their Applications (2022)
  5. G. N. Alfarano, M. Borello, A. Neri, A. Ravagnani. Three Combinatorial Perspectives on Minimal Codes. SIAM Journal on Discrete Mathematics (2022)
  6. G. N. Alfarano, J. Lieb, J. Rosenthal. Construction of LDPC convolutional codes via difference triangle sets. Designs, Codes and Cryptography (2021)
  7. G. N. Alfarano, K. Khathuria, V. Weger. A survey on single server private information retrieval in a coding theory perspective. Applicable Algebra in Engineering, Communication and Computing (2021)
  8. G. N. Alfarano, F.J. Lobillo, A. Neri. Roos bound for skew cyclic codes in Hamming and rank metric. Finite Fields and their Applications (2021)
  9. G. N. Alfarano, J. Lieb. On the left primeness of some polynomial matrices with applications to convolutional codes. Journal of Algebra and its Applications (2020)
  10. G. N. Alfarano, M. Borello, A. Neri. A geometric characterization of minimal codes and their asymptotic performance. Advances in Mathematics of Communications (2020)
  11. G. N. Alfarano, C. Beierle, T. Isobe, S. Kölbl, G. Leander. ShiftRows Alternatives for AES-like Ciphers and Optimal Cell Permutations for Midori and Skinny. IACR Transactions on Symmetric Cryptology (2018): 20-47.

Conference Proceedings

  1. G. N. Alfarano, A. Ravagnani, E. Soljanin. Dual-Code Bounds on Multiple Concurrent (Local) Data Recovery. 2022 IEEE International Symposium on Information Theory (ISIT)
  2. G. N. Alfarano, J. Lieb, J. Rosenthal. Construction of Rate (n-1)/n Non-Binary LDPC Convolutional Codes via Difference Triangle Sets. 2020 IEEE International Symposium on Information Theory (ISIT)

Preprints

  1. G. N. Alfarano, E. Byrne. The Critical Theorem for q-Polymatroids. arXiv: 2305.07567
  2. G. N. Alfarano, A. Neri, F. Zullo. Maximum Flag-Rank Distance Codes. arXiv: 2303.16653
  3. G. N. Alfarano, A. B. Kılıç, A. Ravagnani, E. Soljanin. The Service Rate Region Polytope. arXiv: 2303.04021
  4. G. N. Alfarano, M. Borello, A. Neri. Outer Strong Blocking Sets. arXiv: 2301.09590
  5. G. N. Alfarano, E. Byrne. The Cyclic Flats of a q-Matroid. arXiv: 2204.02353
  6. G. N. Alfarano, K. Khathuria, S. Tinani. On Cyclic Matroids and their Applications. arXiv: 2107.14214

Thesis

  1. G. N. Alfarano. Algebraic, Combinatorial and Geometric Aspects of Some Error-Correcting Codes. Ph.D. thesis, University of Zurich, 2022.

TEACHING

Teaching assitant
Spring 2022 Student Seminar, MAT011 - Matroid Theory
Fall 2021 MAT005 - Coding Theory
Fall 2020 MAT576 - Finite Fields - Theory and Applications
Spring 2020 MAT512 - Elliptic Curves
Fall 2019 MAT001 - Kryptographie
Spring 2019 MAT005 - Coding theory
Fall 2018 MAT211 - Algebra I
Spring 2018 MAT512 - Elliptic Curves

TALKS

Invited talks are marked with (*)
  • (*) Rank-Metric Codes and q-Matroids. Algebra Seminar, University of Groningen, The Netherlands, April 2023.
  • Cyclic Spaces, q-Matroids and Rank-Metric Codes. Dutch-Belgian discrete math seminar Ghent University, Ghent, Belgium, January 2023.
  • (*) Matroidal Approach to Coding Theory. Arbeitsgemeinschaft in Codierungstheorie und Kryptographie, University of Zurich, Switzerland, December 2022.
  • (*) Critical Problem for q-Polymatroids. Seminar Discrete Mathematics, Codes and Cryptography - University of Paris 8, December 2022.
  • (*) Critical Problem, q-Polymatroids and Rank-Metric Codes. Special session Algebraic and Geometric Methods in Coding Theory , at Applications of Computer Algebra (ACA) 2022, Gebze, Turkey, August 2022.
  • q-Matroids and Rank-Metric Codes. Special session q-Analogues in combinatorics: matroids, designs and codes , at Applications of Computer Algebra (ACA) 2022, Gebze, Turkey, August 2022.
  • The geometry of minimal codes. Contemporary Algebraic and Geometric Techniques in Coding Theory and Cryptography, (virtual summer school), University of Campania, Luigi Vanvitelli, July 2022 ( Best presentation award ).
  • Dual-Code Bounds on Multiple Concurrent (Local) Data Recovery. IEEE International Symposium on Information Theory (ISIT), Aalto University, Espoo, Finland, June 2022.
  • q-Matroids and rank-metric codes. Combinatorics 2022, Mantua, Italy, June 2022.
  • (*) q-Analogues of matroids and codes. Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany, April 2022.
  • (*) (Linear) cutting blocking sets and minimality of codes. Sabanci Algebra Seminar, University of Sabancy, Turkey, October 2021.
  • (*) (Linear) cutting blocking sets and their codes. PICS, Postgraduate International Coding theory Seminar, September 2021.
  • Roos-like bound for skew-cyclic codes in Hamming and (sum-)rank metric. First Annnual Conference: Cryptography and Coding Theory, September 2021.
  • (*) Bounds on the distance of skew cyclic codes. Seminar Discrete Mathematics, Codes and Cryptography - University of Paris 8, September 2021.
  • (*) A geometric interpretation of minimal code. De Cifris, Schola Latina Seminars, May 2021.
  • (*) Minimal linear codes and cutting blocking sets. UCD Maths Postgraduate Seminar Series, Dublin, March 2021.
  • (*) The geometry of minimal linear codes. eSeminar UGent-VUB, March 2021.
  • Construction of Rate (n-1)/n Non-Binary LDPC Convolutional Codes via Difference Triangle Sets. IEEE International Symposium on Information Theory (ISIT), Los Angeles, California, (virtual conference) June 2020.
  • (*) What is...a convolutional code? Zurich Graduate Colloquium, Zurich, Switzerland, December 2019 .
  • (*) New Algebraic Construction of MDP Convolutional Codes. Arbeitsgemeinschaft in Codierungstheorie und Kryptographie, University of Neuchatel, Switzerland, December 2019.
  • (*) σ-Quasicyclic and Projective Convolutional Codes. University of Alicante, Spain, June 2019.
  • (*) An introduction to Convolutional Codes, Research Seminars at University of Trento, Italy, June 2018.

CONTACT

Dept. of Mathematics and Computer Science Eindhoven University of Technology (TU/e).

Email: g.n.alfarano(at)tue.nl

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