Umberto Martínez-Peñas

Publication Activity (10 Years)

Years Active: 2015-2024
Publications (10 Years): 64

Top Topics

Multivariate Polynomials

Secret Sharing Scheme

Error Correction

Absolute Difference

Top Venues

IEEE Trans. Inf. Theory

Des. Codes Cryptogr.

Publications

Umberto Martínez-Peñas, Rubén Rodríguez-Ballesteros
Linear codes in the folded Hamming distance and the quasi MDS property. CoRR (2024)
Adrián Fidalgo-Díaz, Umberto Martínez-Peñas
Distributed matrix multiplication with straggler tolerance using algebraic function fields. CoRR (2024)
Umberto Martínez-Peñas, Sven Puchinger
Maximum Sum-Rank Distance Codes Over Finite Chain Rings. IEEE Trans. Inf. Theory 70 (6) (2024)
Umberto Martínez-Peñas
New constructions of MSRD codes. CoRR (2024)
Umberto Martínez-Peñas
Private information retrieval from locally repairable databases with colluding servers. Finite Fields Their Appl. 96 (2024)
Elisa Gorla, Elisa Lorenzo García, Umberto Martínez-Peñas, Flavio Salizzoni
Integer sequences that are generalized weights of a linear code. CoRR (2023)
Umberto Martínez-Peñas
Doubly and triply extended MSRD codes. Finite Fields Their Appl. 91 (2023)
Elisa Gorla, Umberto Martínez-Peñas, Flavio Salizzoni
Sum-rank metric codes. CoRR (2023)
Eduardo Camps-Moreno, Elisa Gorla, Cristina Landolina, Elisa Lorenzo García, Umberto Martínez-Peñas, Flavio Salizzoni
Optimal Anticodes, MSRD Codes, and Generalized Weights in the Sum-Rank Metric. IEEE Trans. Inf. Theory 68 (6) (2022)
Alvin Y. Sukmadji, Umberto Martínez-Peñas, Frank R. Kschischang
Zipper Codes. CoRR (2022)
Umberto Martínez-Peñas
A General Family of MSRD Codes and PMDS Codes with Smaller Field Sizes from Extended Moore Matrices. SIAM J. Discret. Math. 36 (3) (2022)
Umberto Martínez-Peñas
Doubly and triply extended MSRD codes. CoRR (2022)
Umberto Martínez-Peñas, Mohannad Shehadeh, Frank R. Kschischang
Codes in the Sum-Rank Metric: Fundamentals and Applications. Found. Trends Commun. Inf. Theory 19 (5) (2022)
Umberto Martínez-Peñas
Multilayer crisscross error and erasure correction. CoRR (2022)
Umberto Martínez-Peñas
Sum-Rank BCH Codes and Cyclic-Skew-Cyclic Codes. IEEE Trans. Inf. Theory 67 (8) (2021)
Umberto Martínez-Peñas, Sven Puchinger
Maximum Sum-Rank Distance Codes over Finite Chain Rings. CoRR (2021)
Eduardo Camps-Moreno, Elisa Gorla, Cristina Landolina, Elisa Lorenzo García, Umberto Martínez-Peñas, Flavio Salizzoni
Optimal anticodes, MSRD codes, and generalized weights in the sum-rank metric. CoRR (2021)
Umberto Martínez-Peñas
Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables. Finite Fields Their Appl. 65 (2020)
Umberto Martínez-Peñas, Diego Napp
Locally Repairable Convolutional Codes With Sliding Window Repair. IEEE Trans. Inf. Theory 66 (8) (2020)
Paulo José Fernandes Almeida, Umberto Martínez-Peñas, Diego Napp
Systematic maximum sum rank codes. Finite Fields Their Appl. 65 (2020)
Paulo José Fernandes Almeida, Umberto Martínez-Peñas, Diego Napp
Systematic Maximum Sum Rank Codes. CoRR (2020)
Umberto Martínez-Peñas
Hamming and simplex codes for the sum-rank metric. Des. Codes Cryptogr. 88 (8) (2020)
Umberto Martínez-Peñas
A general family of MSRD codes and PMDS codes with smaller field sizes from extended Moore matrices. CoRR (2020)
Umberto Martínez-Peñas
Sum-Rank BCH Codes and Cyclic-Skew-Cyclic Codes. CoRR (2020)
Umberto Martínez-Peñas, Diego Napp
Locally Repairable Convolutional Codes with Sliding Window Repair. CoRR (2019)
Umberto Martínez-Peñas
Hamming and simplex codes for the sum-rank metric. CoRR (2019)
Olav Geil, Umberto Martínez-Peñas
Bounding the Number of Common Zeros of Multivariate Polynomials and Their Consecutive Derivatives. Comb. Probab. Comput. 28 (2) (2019)
Umberto Martínez-Peñas
Private Information Retrieval from Locally Repairable Databases with Colluding Servers. CoRR (2019)
Umberto Martínez-Peñas
Universal secure rank-metric coding schemes with optimal communication overheads. Cryptogr. Commun. 11 (2) (2019)
Umberto Martínez-Peñas, Diego Napp
Locally Repairable Convolutional Codes with Sliding Window Repair. ISIT (2019)
Umberto Martínez-Peñas, Frank R. Kschischang
Reliable and Secure Multishot Network Coding Using Linearized Reed-Solomon Codes. IEEE Trans. Inf. Theory 65 (8) (2019)
Umberto Martínez-Peñas
Private Information Retrieval from Locally Repairable Databases with Colluding Servers. ISIT (2019)
Umberto Martínez-Peñas
Theory of supports for linear codes endowed with the sum-rank metric. Des. Codes Cryptogr. 87 (10) (2019)
Umberto Martínez-Peñas, Frank R. Kschischang
Universal and Dynamic Locally Repairable Codes With Maximal Recoverability via Sum-Rank Codes. IEEE Trans. Inf. Theory 65 (12) (2019)
Alvin Y. Sukmadji, Umberto Martínez-Peñas, Frank R. Kschischang
Zipper Codes: Spatially-Coupled Product-Like Codes with Iterative Algebraic Decoding. CWIT (2019)
Umberto Martínez-Peñas
Generalized Rank Weights of Reducible Codes, Optimal Cases, and Related Properties. IEEE Trans. Inf. Theory 64 (1) (2018)
Umberto Martínez-Peñas, Frank R. Kschischang
Universal and Dynamic Locally Repairable Codes with Maximal Recoverability via Sum-Rank Codes. Allerton (2018)
Umberto Martínez-Peñas, Frank R. Kschischang
Reliable and Secure Multishot Network Coding using Linearized Reed-Solomon Codes. Allerton (2018)
Umberto Martínez-Peñas, Frank R. Kschischang
Reliable and Secure Multishot Network Coding using Linearized Reed-Solomon Codes. CoRR (2018)
Umberto Martínez-Peñas, Ryutaroh Matsumoto
Relative Generalized Matrix Weights of Matrix Codes for Universal Security on Wire-Tap Networks. IEEE Trans. Inf. Theory 64 (4) (2018)
Umberto Martínez-Peñas
Theory of supports for linear codes endowed with the sum-rank metric. CoRR (2018)
Umberto Martínez-Peñas, Frank R. Kschischang
Universal and Dynamic Locally Repairable Codes with Maximal Recoverability via Sum-Rank Codes. CoRR (2018)
Umberto Martínez-Peñas
Communication Efficient and Strongly Secure Secret Sharing Schemes Based on Algebraic Geometry Codes. IEEE Trans. Inf. Theory 64 (6) (2018)
Umberto Martínez-Peñas
Skew and linearized Reed-Solomon codes and maximum sum rank distance codes over any division ring. CoRR (2017)
Umberto Martínez-Peñas, Ruud Pellikaan
Rank error-correcting pairs. Des. Codes Cryptogr. 84 (1-2) (2017)
Umberto Martínez-Peñas
Universal secure rank-metric coding schemes with optimal communication overheads. ISIT (2017)
Umberto Martínez-Peñas
Universal secure rank-metric coding schemes with optimal communication overheads. CoRR (2017)
Olav Geil, Umberto Martínez-Peñas
Bounding the number of common zeros of multivariate polynomials and their consecutive derivatives. CoRR (2017)
Umberto Martínez-Peñas
On the roots and minimum rank distance of skew cyclic codes. Des. Codes Cryptogr. 83 (3) (2017)
Olav Geil, Stefano Martin, Umberto Martínez-Peñas, Ryutaroh Matsumoto, Diego Ruano
On Asymptotically Good Ramp Secret Sharing Schemes. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. (12) (2017)
Umberto Martínez-Peñas
Rank equivalent and rank degenerate skew cyclic codes. Adv. Math. Commun. 11 (2) (2017)
Umberto Martínez-Peñas, Ryutaroh Matsumoto
Unifying notions of generalized weights for universal security on wire-tap networks. CoRR (2016)
Umberto Martínez-Peñas
Communication efficient and strongly secure secret sharing schemes based on algebraic geometry codes. CoRR (2016)
Umberto Martínez-Peñas, Ryutaroh Matsumoto
Unifying notions of generalized weights for universal security on wire-tap networks. Allerton (2016)
Umberto Martínez-Peñas
Generalized rank weights of reducible codes, optimal cases and related properties. CoRR (2016)
Umberto Martínez-Peñas, Ryutaroh Matsumoto
Relative generalized matrix weights of matrix codes for universal security on wire-tap networks. CoRR (2016)
Umberto Martínez-Peñas
On the Similarities Between Generalized Rank and Hamming Weights and Their Applications to Network Coding. IEEE Trans. Inf. Theory 62 (7) (2016)
Umberto Martínez-Peñas
Rank equivalent and rank degenerate skew cyclic codes. CoRR (2016)
Umberto Martínez-Peñas
Generalized rank weights of reducible codes, optimal cases and related properties. ISIT (2016)
Umberto Martínez-Peñas, Ruud Pellikaan
Rank error-correcting pairs. CoRR (2015)
Olav Geil, Stefano Martin, Umberto Martínez-Peñas, Ryutaroh Matsumoto, Diego Ruano
Asymptotically good ramp secret sharing schemes. CoRR (2015)
Umberto Martínez-Peñas
On the similarities between rank and Hamming weights and their applications to network coding. CoRR (2015)
Umberto Martínez-Peñas
On the roots and minimum rank distance of skew cyclic codes. CoRR (2015)
Olav Geil, Stefano Martin, Umberto Martínez-Peñas, Diego Ruano
Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower. CoRR (2015)