Publications and preprints

• LRCs: Duality, LP Bounds, and Field Size (with A. Gruica and B. Jany).
  Submitted, https://arxiv.org/abs/2309.03676, 2023.
• Knot Theory and Error-Correcting Codes (with A. B. Kılıç, A. Nijsten, and R. Pellikaan).
  Submitted, https://arxiv.org/abs/2307.14882, 2023.
• Eigenvalue Bounds for Sum-Rank-Metric Codes (with A. Abiad and A. P. Kharmova).
  Submitted, https://arxiv.org/abs/2307.13613, 2023.
• Multishot Adversarial Network Decoding (with G. Cotardo, G. Matthews, and J. Shapiro).
  Proceedings of the Allerton Conference 2023.
• The Service Rate Region Polytope (with G. N. Alfarano, A. B. Kılıç, and E. Soljanin).
  Submitted, https://arxiv.org/abs/2303.04021, 2023.
• Duality and LP Bounds for Codes with Locality (with A. Gruica and B. Jany).
  Proceedings of ITW 2023.
• l-Complementary Subspaces and Codes in Finite Bilinear Spaces (with H.-G. Luerssen).
  IEEE Transactions on Information Theory, to appear.
• Network Coding: An Optimization Approach (with A. B. Kılıç and C. Hojny).
  Proceedings of ITW 2023.
• Rook theory of the Etzion-Silberstein Conjecture (with A. Gruica).
  Submitted, https://arxiv.org/abs/2209.05114, 2022.
• Densities of codes of various linearity degrees in translation-invariant metric spaces (with A. Gruica, A.-L. Horlemann, N. Willenborg).
  Submitted, https://arxiv.org/abs/2208.10573, 2022.
• Generalised scattered subspaces (with A. Gruica, J. Sheekey, F. Zullo).
  Submitted, https://arxiv.org/abs/2207.01027, 2022.
• Rank-metric lattices (with G. Cotardo).
  Submitted, https://arxiv.org/abs/2206.09284, 2022.
• Network decoding (with with A. Beemer and A. B. Kılıç).
  Submitted, https://arxiv.org/abs/2205.14655, 2022.
• Rank-metric codes, semifields, and the average critical problem (with A. Gruica, J. Sheekey, F. Zullo).
  Submitted, https://arxiv.org/abs/2201.07193, 2022.
• Generalized weights of codes over rings and invariants of monomial ideals (with E. Gorla).
  Submitted, https://arxiv.org/abs/2201.05813, 2022.
• Rank-metric codes and their parameters (with A. Gruica and A. B. Kılıç).
  Submitted (invited book chapter, Springer Lecture Notes in Mathematics), 2022.
• Network decoding against restricted adversaries (with with A. Beemer and A. B. Kılıç).
  Proceedings of MTNS 2022, to appear.
• Dual-code bounds on multiple concurrent (local) data recovery (with G. N. Alfarano and E. Soljanin).
  Proceedings of ISIT 2022, to appear.
• Linear cutting blocking sets and minimal codes in the rank metric (with G. Alfarano, M. Borello, A. Neri).
  Journal of Combinatorial Theory, Series A, to appear.
• The curious case of the Diamond Network (with A. Beemer).
  Extended abstract (refereed) at WCC 2022.
• Anticodes in the sum-rank metric (with E. Byrne, H. Gluesing-Luerssen).
  Linear Algebra and Its Applications, to appear.
• Common complements of linear subspaces and the sparseness of MRD codes (with A. Gruica).
  SIAM Journal on Applied Algebra and Geometry, to appear.
• Parameters of codes for the binary asymmetric channel (with G. Cotardo).
  IEEE Transactions on Information Theory, to appear.
• Three combinatorial perspectives on minimal codes (with G. N. Alfarano, M. Borello, A. Neri).
  SIAM Journal on Discrete Mathematics, to appear.
• Whitney numbers of combinatorial geometries and higher-weight Dowling lattices.
  SIAM Journal on Applied Algebra and Geometry, to appear.
• The typical non-linear code over large alphabets (with A. Gruica).
  Proceedings of ITW 2021, to appear.
• Fundamental properties of sum-rank-metric codes (with E. Byrne, H. Gluesing-Luerssen).
  IEEE Transactions on Information Theory, to appear.
• Rank-metric codes, generalized binomial moments and their zeta functions (with E. Byrne, G. Cotardo).
  Linear Algebra and Its Applications, 604 (2020), 1, pp. 92--128.
• Partitions of matrix spaces with an application to q-rook polynomials (with H. Gluesing-Luerssen).
  European Journal of Combinatorics, 89 (2020).
• Partition-balanced families of codes and asymptotic enumeration in coding theory (with E. Byrne).
  Journal of Combinatorial Theory, Series A, 171 (2020).
• Rank-metric codes and q-polymatroids (with E. Gorla, R. Jurrius, H. López).
  Journal of Algebraic Combinatorics, 52 (2020), pp. 1--19.
• Matrix codes and rook theory.
  In the Oberwolfach Report of the conference "Contemporary Coding Theory" (ID 1912), 2019.
• Tensor representation of rank-metric codes (with E. Byrne, A. Neri, J. Sheekey).
  SIAM Journal on Applied Algebra and Geometry, 3 (2019), 4, pp. 614--643.
• An Assmus-Mattson theorem for rank-metric codes (with E. Byrne).
  SIAM Journal on Discrete Mathematics, 33 (2019), 3, pp. 1242--1260.
• On the sparsity of MRD codes (with E. Byrne).
  Proceedings of WCC 2019.
• Adversarial network coding (with F. R. Kschischang).
  IEEE Transactions on Information Theory, 65 (2019), 1, pp. 198 -- 219.
• Duality of codes supported on regular lattices, with an application to enumerative combinatorics.
  Designs, Codes and Cryptography, 86 (2018), 9, pp. 2035 -- 2063.
• Codes endowed with the rank metric (with E. Gorla).
  In "Network Coding and Subspace Designs", M. Greferath, M. O. Pavčević, N. Silberstein and M. Á. Vázquez-Castro -- Eds., Springer, 2018.
• An algebraic framework for end-to-end physical-layer network coding (with E. Gorla).
  IEEE Transactions on Information Theory, 64 (2018), 6, pp. 4480 -- 4495.
• Matrix codes with the rank metric and their covering radii (with E. Byrne).
  Proceedings of MTNS 2018.
• Weight distribution of rank-metric codes (with J. de la Cruz, E. Gorla, H. López).
  Designs, Codes and Cryptography, 86 (2018), 1, pp. 1--16.
• Covering radius of matrix codes endowed with the rank metric (with E. Byrne).
  SIAM Journal on Discrete Mathematics, 31 (2017), 2, pp. 927 -- 944.
• Subspace codes from Ferrers diagrams (with E. Gorla).
  Journal of Algebra and Its Applications, 16 (2017), n. 7.
• On the rank-metric covering radius (with E. Byrne).
  Proceedings of WCC 2017.
• Optimal Ferrers diagram rank-metric codes (with T. Etzion, E. Gorla, A. Wachter-Zeh).
  IEEE Transactions on Information Theory, 64 (2016), n. 4, pp. 1616 -- 1630.
• Generalized weights: An anticode approach.
  Journal of Pure and Applied Algebra, 220 (2016), n. 5, pp. 1946 -- 1962.
• Equidistant subspace codes (with E. Gorla).
  Linear Algebra and its Applications, 490 (2016), pp. 48 -- 65.
• Rank-metric codes and their duality theory.
  Designs, Codes and Cryptography, 80 (2016), n. 1, pp. 197--216.
• Embedding Suzuki curves in $P4$ (with E. Ballico).
  Journal of Commutative Algebra, 7 (2015), n. 2, pp. 149 -- 166.
• Subspace codes from Ferrers diagrams (with E. Gorla).
  Proceedings of MEGA 2015.
• A zero-dimensional approach to Hermitian codes (with E. Ballico).
  Journal of Pure and Applied Algebra, 219 (2015), n. 4, pp. 1031 -- 1044.
• On the geometry of Hermitian one-point codes (with E. Ballico).
  Journal of Algebra, 397 (2014), pp. 499 -- 514.
• Partial spreads in random network coding (with E. Gorla).
  Finite Fields and Their Applications, 26 (2014), pp. 104 -- 115.
• On the dual minimum-weight codewords of one-point Goppa codes (with E. Ballico).
  Proceedings of MTNS 2014.
• Classification of binary systematic codes of small defect.
  Le Matematiche, 69 (2014), n. 1, pp. 275 -- 284.
• The dual geometry of Hermitian two-point codes (with E. Ballico).
  Discrete Mathematics, 313 (2013), n. 23, pp. 2687 -- 2695.
• On the dual minimum distance and minimum weight of codes from a quotient of the Hermitian curve (with E. Ballico).
  Applicable Algebra in Engineering, Communication and Computing, 24 (2013), n. 5, pp. 343 -- 354.
• Projective normality of Artin-Schreier curves (with E. Ballico).
  Le Matematiche, 68 (2013), n. 2, pp. 91 -- 98.
• On the duals of geometric Goppa codes from norm-trace curves (with E. Ballico).
  Finite Fields and Their Applications, 20 (2013), pp. 30 -- 39.

Monographs

• Coding Theory (lecture notes, available here).
  Eindhoven University of Technology and Dutch MasterMath Program.
• Properties and constructions of codes with the rank and the subspace metric.
  Ph.D. thesis, University of Neuchâtel, Switzerland, 2016.
• On Goppa codes on the Hermitian curve.
  M.Sc. thesis, University of Trento, Italy, 2012.
• Selected topics in algebraic geometry.
  B.Sc. thesis, University of Trento, Italy, 2009.