Publicacións (43) Publicacións de UMBERTO MARTINEZ PEÑAS

2024

  1. Distributed Matrix Multiplication with Straggler Tolerance Using Algebraic Function Fields

    IEEE International Symposium on Information Theory - Proceedings

  2. New constructions of MSRD codes

    Computational and Applied Mathematics, Vol. 43, Núm. 7

  3. Private information retrieval from locally repairable databases with colluding servers

    Finite Fields and their Applications, Vol. 96

2023

  1. Doubly and triply extended MSRD codes

    Finite Fields and their Applications, Vol. 91

  2. Doubly extended codes for general metrics

    EACA 2022: XVII Encuentro de Álgebra Computacional y Aplicaciones

2022

  1. A GENERAL FAMILY OF MSRD CODES AND PMDS CODES WITH SMALLER FIELD SIZES FROM EXTENDED MOORE MATRICES

    SIAM Journal on Discrete Mathematics, Vol. 36, Núm. 3, pp. 1868-1886

  2. Optimal Anticodes, MSRD Codes, and Generalized Weights in the Sum-Rank Metric

    IEEE Transactions on Information Theory, Vol. 68, Núm. 6, pp. 3806-3822

  3. Theory and applications of linearized multivariate skew polynomials

    Linear Algebra and Its Applications, Vol. 637, pp. 1-23

  4. Zeros with multiplicity, Hasse derivatives and linear factors of general skew polynomials

    Communications in Algebra, Vol. 50, Núm. 12, pp. 5060-5079

  5. Zipper Codes

    Journal of Lightwave Technology, Vol. 40, Núm. 19, pp. 6397-6407

2021

  1. Sum-Rank BCH Codes and Cyclic-Skew-Cyclic Codes

    IEEE Transactions on Information Theory, Vol. 67, Núm. 8, pp. 5149-5167

2020

  1. Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables

    Finite Fields and their Applications, Vol. 65

  2. Hamming and simplex codes for the sum-rank metric

    Designs, Codes, and Cryptography, Vol. 88, Núm. 8, pp. 1521-1539

  3. Locally Repairable Convolutional Codes with Sliding Window Repair

    IEEE Transactions on Information Theory, Vol. 66, Núm. 8, pp. 4935-4947

  4. Systematic maximum sum rank codes

    Finite Fields and their Applications, Vol. 65

2019

  1. Bounding the number of common zeros of multivariate polynomials and their consecutive derivatives

    Combinatorics Probability and Computing, Vol. 28, Núm. 2, pp. 253-279

  2. Evaluation and interpolation over multivariate skew polynomial rings

    Journal of Algebra, Vol. 525, pp. 111-139

  3. Locally Repairable Convolutional Codes with Sliding Window Repair

    IEEE International Symposium on Information Theory - Proceedings

  4. Private Information Retrieval from Locally Repairable Databases with Colluding Servers

    IEEE International Symposium on Information Theory - Proceedings

  5. Reliable and Secure Multishot Network Coding Using Linearized Reed-Solomon Codes

    IEEE Transactions on Information Theory