Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower. - Olav Geil; Stefano Martin; Umberto Martínez-Peñas; Diego Ruano (CoRR, 2015)

On the similarities between rank and Hamming weights and their applications to network coding. - Umberto Martínez-Peñas (CoRR, 2015)

Unifying notions of generalized weights for universal security on wire-tap networks. - Umberto Martínez-Peñas; Ryutaroh Matsumoto (Allerton, 2016)

On the Similarities Between Generalized Rank and Hamming Weights and Their Applications to Network Coding. - Umberto Martínez-Peñas (IEEE Trans. Inf. Theory, 2016)

Rank equivalent and rank degenerate skew cyclic codes. - Umberto Martínez-Peñas (Adv. Math. Commun., 2017)

Skew and linearized Reed-Solomon codes and maximum sum rank distance codes over any division ring. - Umberto Martínez-Peñas (CoRR, 2017)

On the roots and minimum rank distance of skew cyclic codes. - Umberto Martínez-Peñas (Des. Codes Cryptogr., 2017)

Rank error-correcting pairs. - Umberto Martínez-Peñas; Ruud Pellikaan (Des. Codes Cryptogr., 2017)

On Asymptotically Good Ramp Secret Sharing Schemes. - Olav Geil; Stefano Martin; Umberto Martínez-Peñas; Ryutaroh Matsumoto; Diego Ruano (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2017)

Generalized Rank Weights of Reducible Codes, Optimal Cases, and Related Properties. - Umberto Martínez-Peñas (IEEE Trans. Inf. Theory, 2018)

Communication Efficient and Strongly Secure Secret Sharing Schemes Based on Algebraic Geometry Codes. - Umberto Martínez-Peñas (IEEE Trans. Inf. Theory, 2018)

Relative Generalized Matrix Weights of Matrix Codes for Universal Security on Wire-Tap Networks. - Umberto Martínez-Peñas; Ryutaroh Matsumoto (IEEE Trans. Inf. Theory, 2018)

Zipper Codes: Spatially-Coupled Product-Like Codes with Iterative Algebraic Decoding. - Alvin Y. Sukmadji; Umberto Martínez-Peñas; Frank R. Kschischang (CWIT, 2019)

Universal secure rank-metric coding schemes with optimal communication overheads. - Umberto Martínez-Peñas (Cryptogr. Commun., 2019)

Bounding the Number of Common Zeros of Multivariate Polynomials and Their Consecutive Derivatives. - Olav Geil; Umberto Martínez-Peñas (Comb. Probab. Comput., 2019)

Theory of supports for linear codes endowed with the sum-rank metric. - Umberto Martínez-Peñas (Des. Codes Cryptogr., 2019)

Reliable and Secure Multishot Network Coding Using Linearized Reed-Solomon Codes. - Umberto Martínez-Peñas; Frank R. Kschischang (IEEE Trans. Inf. Theory, 2019)

Universal and Dynamic Locally Repairable Codes With Maximal Recoverability via Sum-Rank Codes. - Umberto Martínez-Peñas; Frank R. Kschischang (IEEE Trans. Inf. Theory, 2019)

Hamming and simplex codes for the sum-rank metric. - Umberto Martínez-Peñas (Des. Codes Cryptogr., 2020)

Systematic maximum sum rank codes. - Paulo José Fernandes Almeida; Umberto Martínez-Peñas; Diego Napp (Finite Fields Their Appl., 2020)

Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables. - Umberto Martínez-Peñas (Finite Fields Their Appl., 2020)

Locally Repairable Convolutional Codes With Sliding Window Repair. - Umberto Martínez-Peñas; Diego Napp (IEEE Trans. Inf. Theory, 2020)

Sum-Rank BCH Codes and Cyclic-Skew-Cyclic Codes. - Umberto Martínez-Peñas (IEEE Trans. Inf. Theory, 2021)

Multilayer crisscross error and erasure correction. - Umberto Martínez-Peñas (CoRR, 2022)

Zipper Codes. - Alvin Y. Sukmadji; Umberto Martínez-Peñas; Frank R. Kschischang (CoRR, 2022)

Codes in the Sum-Rank Metric: Fundamentals and Applications. - Umberto Martínez-Peñas; Mohannad Shehadeh; Frank R. Kschischang (Found. Trends Commun. Inf. Theory, 2022)

Optimal Anticodes, MSRD Codes, and Generalized Weights in the Sum-Rank Metric. - Eduardo Camps-Moreno; Elisa Gorla; Cristina Landolina; Elisa Lorenzo García; Umberto Martínez-Peñas; Flavio Salizzoni (IEEE Trans. Inf. Theory, 2022)

A General Family of MSRD Codes and PMDS Codes with Smaller Field Sizes from Extended Moore Matrices. - Umberto Martínez-Peñas (SIAM J. Discret. Math., 2022)

Sum-rank metric codes. - Elisa Gorla; Umberto Martínez-Peñas; Flavio Salizzoni (CoRR, 2023)

Integer sequences that are generalized weights of a linear code. - Elisa Gorla; Elisa Lorenzo García; Umberto Martínez-Peñas; Flavio Salizzoni (CoRR, 2023)

Doubly and triply extended MSRD codes. - Umberto Martínez-Peñas (Finite Fields Their Appl., 2023)

Linear codes in the folded Hamming distance and the quasi MDS property. - Umberto Martínez-Peñas; Rubén Rodríguez-Ballesteros (CoRR, 2024)

Distributed matrix multiplication with straggler tolerance over very small field. - Adrián Fidalgo-Díaz; Umberto Martínez-Peñas (CoRR, 2024)

Private information retrieval from locally repairable databases with colluding servers. - Umberto Martínez-Peñas (Finite Fields Their Appl., 2024)

Maximum Sum-Rank Distance Codes Over Finite Chain Rings. - Umberto Martínez-Peñas; Sven Puchinger (IEEE Trans. Inf. Theory, 2024)

New constructions of MSRD codes. - Umberto Martínez-Peñas (Comput. Appl. Math., 2024)

Distributed Matrix Multiplication With Straggler Tolerance Using Algebraic Function Fields. - Adrián Fidalgo-Díaz; Umberto Martínez-Peñas (IEEE Trans. Inf. Theory, 2025)

Duals of multiplicity codes. - Eduardo Camps-Moreno; Adrián Fidalgo-Díaz; Hiram H. López; Umberto Martínez-Peñas; Diego Ruano; Rodrigo San-José (CoRR, 2025)

Maximally recoverable codes with locality and availability. - Umberto Martínez-Peñas; V. Lalitha 001 (CoRR, 2025)