Publications (49) UMBERTO MARTINEZ PEÑAS publications

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2026

  1. Multilayer crisscross error and erasure correction

    Linear Algebra and Its Applications, Vol. 728, pp. 349-375

2025

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

    IEEE Transactions on Information Theory, Vol. 71, Núm. 2, pp. 996-1006

  2. Distributed matrix multiplication with straggler tolerance over very small fields

    Designs, Codes, and Cryptography, Vol. 93, Núm. 10, pp. 4545-4565

  3. Linear codes in the folded Hamming distance and the quasi MDS property

    Designs, Codes, and Cryptography

2024

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

    IEEE International Symposium on Information Theory - Proceedings

  2. Maximum Sum-Rank Distance Codes Over Finite Chain Rings

    IEEE Transactions on Information Theory, Vol. 70, Núm. 6, pp. 3878-3890

  3. New constructions of MSRD codes

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

  4. 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. Codes in the Sum-Rank Metric: Fundamentals and Applications

    Foundations and Trends in Communications and Information Theory, Vol. 19, Núm. 5, pp. 814-1031

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

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

  4. Theory and applications of linearized multivariate skew polynomials

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

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

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

  6. 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