Research

PUBLICATIONS:

1. V. Napolitano, O. Polverino, P. Santonastaso, and F. Zullo: Clubs and their applications, to appear in SIAM Journal on Applied Algebra and Geometry.

2.  P. Santonastaso and F. Zullo: On Subspace designs, EMS Survey on Mathematical Sciences 11(1) (2024) 

3. O. Polverino, P. Santonastaso, J. Sheekey and F. Zullo: Divisible linear rank metric codes, IEEE Transactions on Information Theory, 69(7) (2023). 

4. A. Neri, P. Santonastaso, F. Zullo: The geometry of one-weight codes in the sum-rank metric, Journal of Combinatorial Theory, Series A 194 (2023), 105703. 

5. V. Napolitano, O. Polverino, P. Santonastaso and F. Zullo: Two pointsets in PG(2,qn) and the associated codes, Advances in Mathematics of Communications, 2023, 17(1): 227-245. 

6. V. Napolitano, O. Polverino, P. Santonastaso and F. Zullo: Classifications and constructions of minimum size linear sets, Finite Fields and Their Applications 92 (2023), 102280. 

7. C. Castello, O. Polverino, P. Santonastaso, and F. Zullo. Constructions and equivalence of Sidon spaces. Journal of Algebraic Combinatorics (2023). 

8. S. Adriaensen, J. Mannaert, P. Santonastaso and F. Zullo: Cones from maximum h-scattered linear sets and a stability result for cylinders from hyperovals, Discrete Mathematics 346 (12) (2023), 113602. 

9. A. Neri, P. Santonastaso, F. Zullo: Extending two families of maximum rank distance codes, Finite Fields and Their Applications 81 (2022), 102045. 

10. V, Napolitano, O. Polverino, P. Santonastaso and F. Zullo: Linear sets on the projective line with complementary weights, Discrete Mathematics, 345(7) (2022), 112890. 

11. P. Santonastaso and F. Zullo: On the list decodability of rank-metric codes containing Gabidulin codes. Design, Codes and Cryptography 90, 957–982 (2022). 

12. P. Santonastaso and F. Zullo: Linearized trinomials with maximum kernel, Journal of Pure and Applied Algebra 226(3) (2022), 106842. 

CONFERENCE PAPERS:

1. O. Polverino, P. Santonastaso, J. Sheekey and F. Zullo: Two-weight rank-metric codes, 2024 IEEE International Symposium on Information Theory (ISIT), to appear. 

2. O. Polverino, P. Santonastaso, and F. Zullo: On fat linearized polynomials, WAIFI 2024, to appear. 

EXTENDED ABSTRACT:

1. M. Borello, P. Santonastaso and F. Zullo, Left ideal LRPC codes and a ROLLO-type cryptosystem based on group algebras, ALCOCRYPT conference, 2022 arXiv:2210.11774 

2. O. Polverino, P. Santonastaso and F. Zullo: On the maximum weight codewords of linear rank metric codes, WCC 2024: The Thirteenth International Workshop on Coding and Cryptography 

PREPRINTS:

1. S. Adriaensen and P. Santonastaso: On the minimum size of linear sets, arXiv:2301.13001. 

2. B. Mishra and P. Santonastaso: Prime power residues and blocking sets (submitted). 

3. F. Ozbudak, P. Santonastaso, and F. Zullo: Using multi-orbit cyclic subspace codes for constructing optical orthogonal codes, arXiv:2405.18996. 

4. O. Polverino, P. Santonastaso, and F. Zullo: Maximum weight codewords of a linear rank metric code, arXiv:2302.00979. 

5. P. Santonastaso: Completely decomposable rank-metric codes, arXiv:2406.19026.

6. P. Santonastaso and J. Sheekey: On MSRD codes, h-designs and disjoint maximum scattered linear sets, arXiv:2308.00378.