Gianira Nicoletta Alfarano

About

I am a Ph.D. student under the supervision of Prof. Dr. Joachim Rosenthal at the University of Zurich.

Research Interests

Algebraic Coding Theory, Finite Fields, Combinatorics, Finite Geometry.

List of Co-authors

Christof Beierle, Martino Borello, Anina Gruica, Takanori Isobe, Karan Khathuria, 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.

Publications

1. G. N. Alfarano, M. Borello, A. Neri, A. Ravagnani. Three Combinatorial Perspectives on Minimal Codes. SIAM Journal on Discrete Mathematics (2021) arXiv:2010.16339
2. G. N. Alfarano, J. Lieb, J. Rosenthal. Construction of LDPC convolutional codes via difference triangle sets. Designs, Codes and Cryptography (2021) arXiv:2008.13470
3. 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)
4. 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) arXiv:2002.02327
5. 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) arXiv:2003.07322
6. G. N. Alfarano, M. Borello, A. Neri. A geometric characterization of minimal codes and their asymptotic performance. Advances in Mathematics of Communications (2020) arXiv:1911.11738
7. 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) arXiv:2001.07969
8. 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.

Preprints

1. G. N. Alfarano, A. Ravagnani, E. Soljanin. Dual-Code Bounds on Multiple Concurrent (Local) Data Recovery. (2022) arXiv: 2201.07503
2. G. N. Alfarano, K. Khathuria, S. Tinani. On Cyclic Matroids and their Applications. (2021) arXiv: 2107.14214
3. G. N. Alfarano, M. Borello, A. Neri, A. Ravagnani. Linear Cutting Blocking Sets and Minimal Codes in the Rank Metric. (2021) arXiv:2106.12465
4. G. N. Alfarano, F.J. Lobillo, A. Neri, A. Wachter-Zeh. Sum-rank product codes and bounds on the minimum distance. (2021) arXiv:2105.15086
5. G. N. Alfarano, A. Gruica, J. Lieb, J. Rosenthal. Convolutional codes over finite chain rings, MDP codes and their characterization . (2021) arXiv:2104.09486
6. G. N. Alfarano, D. Napp, A. Neri, V. Requena. Weighted Reed-Solomon convolutional codes. (2020) arXiv:2012.11417

Talks

• (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.