papers and preprints

all my work is available on arxiv

36. Scalar multiplication in compressed coordinates in the trace-zero subgroup (with G. Bianco),
submitted

35. Solving multivariate polynomial systems and an invariant from commutative algebra (with A. Caminata),
submitted

34. Cartwright-Sturmfels ideals associated to graphs and linear spaces (with A. Conca and E. De Negri),
submitted

33. Codes endowed with the rank metric (with A. Ravagnani),
to appear in Network Coding and Subspace Designs,
M. Greferath, M. Pavcevic, N. Silberstein, and A. Vazquez-Castro Eds., Springer

32. An algebraic framework for end-to-end physical-layer network coding (with A. Ravagnani),
to appear in IEEE Transactions on Information Theory

31. Multigraded generic initial ideals of determinantal ideals (with A. Conca and E. De Negri),
to appear in the Springer INdAM Series

30. Universal Groebner bases and Cartwright-Sturmfels ideals (with A. Conca and E. De Negri),
submitted

29. Gorenstein liaison for toric ideals of graphs (with A. Constantinescu),
submitted

28.  Weight distribution of rank-metric codes (with J. De la Cruz, H. Lopez, A. Ravagnani),
to appear in Designs, Codes and Cryptography

27. Compression for trace zero points on twisted Edwards curves (with G. Bianco),
Journal of Mathematical Cryptology 10, no. 1 (2016), 15-34

26. Optimal Ferrers Diagram Rank-Metric Codes (with T. Etzion, A. Ravagnani, A. Wachter-Zeh),
IEEE Transactions on Information Theory 62, no. 4 (2016), 1616-1630

25. Equidistant subspace codes (with A. Ravagnani),
Linear Algebra and its Applications 490 (2016), 48-65

24. Subspace codes from Ferrers diagrams (with A. Ravagnani),
Journal of Algebra and its Applications 16, no. 7 (2017)

23. Index calculus in the trace zero variety (with M. Massierer),
Advances in Mathematics of Communications 9, no. 4 (2015), 515-539

22. An optimal representation for the trace zero variety (with M. Massierer),
Designs, Codes and Cryptography 83, no. 3 (2017) 519-548

21. Computing the dimension of ideals in group algebras, with an application to coding theory (with M. Elia),
submitted

20. Point compression for the trace zero subgroup over a small degree extension field (with M. Massierer),
Designs, Codes and Cryptography 75, no. 2 (2015), 335-357

19. Partial spreads in random network coding (with A. Ravagnani),
Finite Fields and Their Applications 26 (2014), 104-115

18. Universal Groebner bases for maximal minors (with A. Conca ed E. De Negri),
International Mathematics Research Notices 11 (2015), 3245-3262

17. An algebraic approach for decoding spread codes (with F. Manganiello and J. Rosenthal),
Advances in Mathematics of Communications 6, no. 4 (2012), 443-466

16. Groebner bases via linkage (with J. Migliore and U. Nagel),
Journal of Algebra 384 (2013), 110-134

15. Torus-based cryptography (invited contribution),
Encyclopedia of Cryptography and Security (2nd ed.),
S. Jajodia and H. Van Tilborg Eds., Springer-Verlag (2011)

14. Invariants of ideals generated by pfaffians (with E. De Negri),
Commutative Algebra and Its Connections to Geometry,
A. Corso and C. Polini Eds., Contemporary Mathematics 555 (2011), 47-62

13. Pole placement with fields of positive characteristic (with J. Rosenthal),
Three Decades of Progress in Control Sciences - Dedicated to Chris Byrnes and Anders Lindquist,
X. Hu, U. Jonsson, B. Wahlberg, B. Ghosh Eds., Springer-Verlag (2010), 315-329

12. Symmetric ladders and G-biliaison,
Liaison, Schottky Problem and Invariant Theory - Remembering Federico Gaeta,
M.E. Alonso, E. Arrondo, R. Mallavibarrena, I. Sols Eds., Progress in Math. 280, Birkhäuser (2010), 49-62
 
11. G-biliaison of ladder Pfaffian varieties (with E. De Negri),
Journal of Algebra 321, no. 9 (2009), 2637-2649

10. Spread codes and spread decoding in network codes (with F. Manganiello and J. Rosenthal),
Proceedings of the IEEE International Symposium on Information Theory 2008 - ISIT 2008, 881-885

9. Efficient FPGA-based multipliers for F_3^97 and F_3^(6*97) (with J. Shokrollahi and C. Puttmann),
International Conference on Field Programmable Logica and Applications - FPL 2007,
IEEE Conference Proceedings, 339-344

8. Explicit formulas for efficient multiplication in GF(3^6m) (with C. Puttmann and J. Shokrollahi),
Selected areas in cryptography. Revised selected papers from the 14th International Workshop (SAC 2007) held at the University of Ottawa, Canada, August 16-17, 2007,
C. Adams, A. Miri, M. Wiener Eds, Lecture Notes in Computer Science 4876, Springer-Verlag (2007), 173-183

7. A generalized Gaeta's Theorem,
Compositio Mathematica 144, no. 3 (2008), 689-704

6. Lifting the determinantal property,
Algebra, Geometry and their Interactions,
A. Corso, J. Migliore, and C. Polini Eds., Contemporary Mathematics 448 (2007), 69-89

5. Cryptanalysis of the CFVZ cryptosystem (with J. Climent and J. Rosenthal),
Advances in Mathematics of Communications 1, no. 1 (2007), 1-11

4. Mixed ladder determinantal varieties from two-sided ladders,
Journal of Pure and Applied Algebra 211, no. 2 (2007) 433-444

3. The G-biliaison class of symmetric determinantal schemes,
Journal of Algebra 310, no. 2 (2007), 880-902

2. The general hyperplane section of a curve,
Transactions of the American Mathematical Society 358, no. 2 (2006), 819-869

1. Hilbert functions of irreducible arithmetically Gorenstein schemes (with N.Budur and M.Casanellas),
Journal of Algebra 272, no. 1 (2004), 292-310

PhD thesis

Lifting properties from the general hyperplane section of a projective scheme (2004)
under the supervision of J. Migliore