Zita Abreu
About Me
I am a student of the Doctoral Program in Applied Mathematics (MAP-PDMA) at the Universities of Porto, Minho and Aveiro, supported by the FCT grant UI/BD/151186/2021. I am working under the supervision of Professor Raquel Pinto and Professor Rita Simões, from the University of Aveiro, and in the current academic year I am enrolled at the University of Zurich, working with the group led by Joachim Rosenthal. My research interests include Algebraic Coding Theory, Convolutional Codes, Finite Fields, Cryptography, Quantum Computation.
Publications
- Zita Abreu. Lattice-based digital signature schemes and experimentation of hybrid certificates with post-quantum cryptography. Repositorium, 2020. https://hdl.handle.net/1822/73679.
- Zita Abreu, Guillaume Cantin, Cristiana J. Silva. Analysis of a COVID-19 compartmental model: a mathematical and computational approach. Mathematical Biosciences and Engineering, 2021, 18(6): 7979-7998. doi: 10.3934/mbe.2021396.
- Zita Abreu, Lucas Pereira. Privacy protection in smart meters using homomorphic encryption: An overview. Wiley Interdisciplinary Reviews: Data Mining and Knowledge Discovery 12(4), 2022. doi: 10.1002/widm.1469.
- Zita Abreu, Raquel Pinto, Rita Simões. A new construction of an MDS convolutional code of rate 1/2, submitted, http://arxiv.org/abs/2305.04706.
- Zita Abreu, Julia Lieb, Joachim Rosenthal. Binary convolutional codes with optimal column distances, submitted, http://arxiv.org/abs/2305.04693.
- Zita Abreu, Julia Lieb, Raquel Pinto, Joachim Rosenthal. Criteria for the construction of MDS convolutional codes with good column distances, submitted, http://arxiv.org/abs/2305.04647.
Talks
- A new construction of an MDS Convolutional Code of rate 1/2}, 9th International Conference on Matrix Analysis and Applications , University of Aveiro (Aveiro, June 16, 2022).
- Construction of an Optimal Convolutional Code of Rate 1/2, Coding Theory and Cryptography: a conference in honour of Joachim Rosenthal’s 60th birthday, University of Zurich (Zurich, July 11, 2022).
- A novel criterion for the construction of MDS convolutional codes of rate 1/n, Neuchatel - St.Gallen - Zurich Seminar in Coding Theory and Cryptography (St. Gallen, March 15, 2023).
- Construction of convolutional codes over the binary field with optimal column distances, Workshop on Convolutional Codes, University of Zurich (Zurich, 7 June, 2023).
- Binary Convolutional Codes with Optimal Column Distances, 2023 IEEE International Symposium on Information Theory (ISIT) (Taipei, 27 June, 2023).
Contact Information
Institute for Mathematics, University of Zurich, Winterthurerstrasse 190, CH-8057 Zurich, Switzerland.
- zita.fiquelideabreu@math.uzh.ch
- zita.abreu@ua.pt