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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

       
  1. Zita Abreu. Lattice-based digital signature schemes and experimentation of hybrid certificates with post-quantum cryptography. Repositorium, 2020. https://hdl.handle.net/1822/73679.
  2. 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.
  3. 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.
  4. 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.
  5. Zita Abreu, Julia Lieb, Joachim Rosenthal. Binary convolutional codes with optimal column distances, submitted, http://arxiv.org/abs/2305.04693.
  6. 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).
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Contact Information

   
     

Institute for Mathematics, University of Zurich, Winterthurerstrasse 190, CH-8057 Zurich, Switzerland.

           

  • zita.fiquelideabreu@math.uzh.ch
  • zita.abreu@ua.pt