Publications

Published works:

1. 2022 Construction of new q-cryptomorphisms. Authors E. Byrne, M. Ceria and R. Jurrius, Journal of Combinatorial Theory, Series B 153 (2022) 149–194, https://doi.org/10.1016/j.jctb.2021.12.001 (preprint available here)

2. 2021 Efficient cryptanalysis over multivariate Ore extensions, accepted by De Cifris Seminars. Authors M. Ceria, T. Moriarty and A.Visconti (preprint available here)

3. Book   Bits, bytes and friends  accepted by the scientific committee of the “Cryptography” series of Aracne eds. Authors: M.   Ceria, G.   Rinaldo  and M.   Sala    

4. 2022 Optimizing the key-pair generation phase of McEliece cryptosystem, in: Woungang I., Dhurandher S.K. (eds) 4th International Conference on Wireless, Intelligent and Distributed Environment for Communication. Lecture Notes on Data Engineering and Communications Technologies, vol 94. Springer, Cham. https://doi.org/10.1007/978-3-030-89776-5_8 Authors M. Ceria, A. De Piccoli, M.Tiziani, A. Visconti (preprint available here)

5. 2022  Bar Code and Janet-like division, Author: Michela   Ceria Paper available here

6. 2021 Why you cannot even hope to use Ore algebras in Cryptography, accepted by Applicable Algebra in Engineering, Communication and Computing, With T.Mora, A.Visconti. Preprint available here.

7. 2020 Combinatorial decompositions for monomial ideals , Author: Michela Ceria Accepted by Journal of Symbolic Computation. Preprint available here

8. 2019 A performance-based approach to compare the Blockchain consensus procedures: PoW vs PoS vs Pure PoS. Mathematics 2020, 8(10), 1782. Authors: Cristian Lepore, Michela Ceria, Andrea Visconti, Udai Pratap Rao, Kaushal Arvindbhai Shah, and Luca Zanolini. Available here.

9. 2020 Toward involutive bases over effective rings, Special issue of Applicable Algebra in Engineering, Communication and Computing, concerning “Algebraic Geometry from an Algorithmic point of View”,  31, 359–387.  Authors: Michela Ceria, Teo Mora. Preprint available here.

10. 2020 HELP: a sparse error locator polynomial for BCH codes, accepted by the Special issue of Applicable Algebra in Engineering, Communication and Computing, concerning  "Computer Algebra and application to combinatorics, coding theory and cryptography". Authors: Michela Ceria, Teo Mora, Massimiliano Sala . Preprint available here.

11. 2020 Why you cannot even hope to use Gröbner bases in cryptography: an eternal golden braid of failures, accepted by the Special issue of Applicable Algebra in Engineering, Communication and Computing, concerning  "Computer Algebra and application to combinatorics, coding theory and cryptography".  Authors: Boo Barkee, Michela Ceria, Theo Moriarty, Andrea Visconti. Preprint available here.

12. 2020 Sublime Experience: new strategies for measuring the aesthetic impact of the sublime, Imagine Maths 7: Conference Mathematics and Culture Authors: Maddalena Mazzocut-Mis, Andrea Visconti, Hooman Tahayori and Michela Ceria

13. 2019  Bar Code vs Janet tree,  Atti Accad. Pelorit. Pericol., Cl. Sci. Fis. Mat. Nat. (Online) Vol. 97, N.2 ISSN: 1825-1242.  Author: Michela Ceria.   http://dx.doi.org/10.1478/AAPP.972A6 

14. 2019 Zech Tableaux as tools for sparse decoding. Accepted by Rendiconti del Seminario Matematico dell'Università e del Politecnico di Torino. Authors: Michela Ceria, Teo Mora, Massimiliano Sala. Preprint available here

15. 2019   Bar code: a visual representation for finite set of terms and its applications, Accepted Mathematics in Computer Science special issue for ACA2018 Author: Michela   Ceria. Preprint available here

16. 2019 Measuring Performances of a White-box Approach in the IoT Context. Symmetry 2019, 11(8), 1000; https://doi.org/10.3390/sym11081000 Authors: Daniele Giacomo Vittorio Albricci, Michela Ceria, Arvin Shakiba, Andrea Visconti, Federico Cioschi, Nicolò Fornari

17. 2019 Applications of Bar Code to involutive divisions and a greedy algorithm for complete sets. (extended abstract) International Conference Polynomial Computer Algebra ’2019 St. Petersburg, Russia April 15-20, 2019 International Euler Institute - ISBN 978-5-96511-1234-0, available  here at page 32. Author: Michela Ceria 

18. 2019 Weak involutive bases over effective rings (extended abstract) International Conference Polynomial Computer Algebra ’2019 St. Petersburg, Russia April 15-20, 2019 International Euler Institute - ISBN 978-5-96511-1234-0 available  here at page 99. Author: Michela Ceria, Teo Mora

19. 2019  A general framework for Noetherian well ordered polynomial reductions. Journal of Symbolic Computation, ISSN: 0747-7171, https://doi.org/10.1016/j.jsc.2019.02.002   Authors: Michela  Ceria , Teo Mora, Margherita   Roggero  

20. 2019   Bar code for monomial ideals.    Journal of Symbolic Computation ,  Volume 91, March - April 2019, Pages 30-56,  https://doi.org/10.1016/j.jsc.2018.06.012 . Author: Michela Ceria.  Preprint available here

21. 2018   Combinatorics of ideals of points: a Cerlienco-Mureddu-like approach for an iterative lex game (abstract).    In 24th Conference on Applications of Computer Algebra - ACA 2018: Proceedings, Applications of Computer Algebra, Santiago de Compostela, Spain, June 18-22, 2018. http://dx.doi.org/10.15304/9788416954872    Authors: Michela   Ceria , Teo Mora. Preprint available here

22. 2018  Efficient computation of squarefree separator polynomials (extended abstract)  .  https://doi.org/10.1007/978-3-319-96418-8_12   In: Davenport J., Kauers M., Labahn G., Urban J. (eds) Mathematical Software -- ICMS 2018. ICMS 2018. Lecture Notes in Computer Science, vol 10931. Springer, Cham  Authors: Michela   Ceria , Teo   Mora , Andrea   Visconti .  Preprint available here.

23. 2017  Buchberger-Zacharias Theory of Multivariate Ore Extensions.    https://doi.org/10.1016/j.jpaa.2017.02.011   Journal of Pure and Applied Algebra ,Volume 221, Issue 12, December 2017, Pages 2974--3026.  Authors: Michela   Ceria , Teo   Mora  

24. 2017  Bitcoin, la moneta virtuale per transazioni reali. Interlex, may 2017. Authors: M.   Ceria , M.  Sala  

25. 2016   Buchberger-Weispfenning Theory for Effective Associative Rings.    https://doi.org/10.1016/j.jsc.2016.11.008   Journal of Symbolic Computation , special issue for ISSAC 2015, 83, pp. 112-146.  Authors: Michela   Ceria , Teo   Mora 

26. 2016   Bitcoin e Blockchain , Authors: Michela    Ceria , Federico   Pintore , Massimiliano   Sala   Aused Informa, 98. 

27. 2016   A computational approach to the theory of adjoints.    http://dx.doi.org/10.1478/AAPP.942A7      AAPP Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali , Volume 94, Issue 2, 2016, Article number A7. Author: Michela   Ceria  

28. 2015  Term-ordering free involutive bases.  Authors: Michela   Ceria , Teo   Mora , Margherita   Roggero   https://doi.org/10.1016/j.jsc.2014.09.005,  Journal of Symbolic Computation , Volume 68, Part 2, May--June 2015, Pages 87--108. 

29. 2014  A proof of the ``Axis of Evil theorem'' for distinct points.  Author: Michela   Ceria         Rendiconti del Seminario Matematico dell'Università e del Politecnico di Torino  Vol. 72 No. 3-4,  pp. 213-233 

My PhD Thesis: Combinatorial structure of monomial ideals.

 Other accepted works :

1. 2019 Bar Code and Janet-like division (extended abstract), accepted for a talk at ACA2019 Authors: Michela Ceria.

2. 2019 Weak Involutive bases over effective rings (extended abstract), accepted for a talk at ACA2019 Authors: Michela Ceria, Teo Mora.

3. 2019 HELP: the knight gambit for efficient decoding of BCH codes (extended abstract), accepted for a talk at ACA2019 Authors: Michela Ceria, Teo Mora, Massimiliano Sala.

4. 2019 Why you cannot even hope to use Gröbner bases in cryptography: an eternal golden braid of failures (extended abstract), accepted for a talk at ACA2019 Authors: Boo Barkee, Michela Ceria, Theo Moriarty, Andrea Visconti.

5. 2018  Combinatorial decompositions for monomial ideals (extended abstract) .  Accepted as a poster at  MEGA2019  Authors: Michela   Ceria . 

6. 2018   Combinatorics of ideals of points: a Cerlienco-Mureddu-like approach for an iterative lex game. Accepted for a talk at the conferences  ACA 2018  and  PCA 2018 Authors: Michela   Ceria , Teo   Mora . 

7. 2017  On the discrete logarithm problem for prime-field elliptic curve. Accepted for a computation presentation at  MEGA 2017.   Authors: Alessandro   Amadori , Michela   Ceria , Federico   Pintore , Massimiliano   Sala  

Submitted works :

1. 2022  On large partial ovoids of symplectic and Hermitian polar spaces, Authors: M. Ceria, J. De Beule, F. Pavese and V. Smaldore,

2. 2021 Constructions of New Matroids and Designs over GF(q). Authors: Eimear Byrne, Michela Ceria, Sorina Ionica, Relinde Jurrius. Preprint available here.

3. 2022 Towards a Gröbner-free approach to Coding With T. Mora

4. 2021 Degroebnerization: a political manifesto . With S.Lundqvist, T. Mora. Preprint available here.

5. 2021 De Nugis Groebnerialium 6: Rump, Ufnarovski, Zacharias With F. Mora

6. 2021 The direct sum of q-matroids, with R. Jurrius

7. 2021 Degroebnerization and its applications: a new approach for data modelling With T. Mora and A. Visconti, preprint available here

8. 2021 De Nugis Groebnerialium 7: Janet, Gerdt, Tamari With F. Mora

9. 2021 Degroebnerization and Its Applications: Reverse Engineering of Gene Regulatory Networks With S.Lundqvist, F. Mora

10. 2021 The complexity of solving Weil restriction systems with A. Caminata, and E. Gorla

11. 2021 Applications of Bar Code to involutive divisions and a greedy algorithm for complete sets.

12. 2021 On near–MDS codes and caps, with A. Cossidente, G. Marino, F. Pavese

13. 2021 Secret sharing schemes from hypersurfaces over finite fields, with A.Aguglia and L. Giuzzi

14. 2021 Weighted Subspace Designs from q-Polymatroids, with E. Byrne, R. Jurrius, S. Ionica.

Available in Arxiv:

1. Combinatorics of involutive Divisions    Available in Arxiv    arXiv:1707.02452 [math.AC] Author: Michela   Ceria

2. Macaulay, Lazard and the Syndrome Variety Authors: Michela Ceria.   

In preparation:

1. Half error locator polynomials for efficient decoding of binary cyclic codes Authors: Michela Ceria.

2.  A variant of the iterative Moeller algorithm for giving Pommaret basis and its factorization, Author: Michela   Ceria 

3. 2018  Combinatorics of ideals of points: a Cerlienco-Mureddu-like approach for an iterative lex game.  Authors: Michela   Ceria, Teo Mora  

4. A trojan Diffie-Hellman-like protocol based on proof of gullibility,  Authors: M. Ceria, A.De Piccoli, T.Moriarty and A.Visconti. A preprint version is available here.

Distributed software:

1. 2012   JMBTest.lib: a J-marked basis tester    Library available from Singular 3-1-6: https://www.singular.uni-kl.de/index.php/singular-download.html    Author: Michela   Ceria  

2. 2012  JMSConst.lib: a J-marked schemes contructor    Library available from Singular 3-1-6:   https://www.singular.uni-kl.de/index.php/singular-download.html    Author: Michela   Ceria