Publications

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  1. Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings (with D. Bossaller). Submitted.
  1. Binary Triorthogonal and CSS-T Codes for Quantum Error Correction (with E. Camps-Moreno, G. Matthews, D. Ruano, R. San-José, and I. Soprunov). Submitted.
  1. A polyhedral reconstruction of a 3D object from a chain code and a low-density point cloud (with O. A. Tapia-Dueñas and H. Sánchez-Cruz). Submitted.
  1. On decoding hyperbolic codes (with E. Camps-Moreno, I. García-Marco, I. Márquez-Corbella, E. Martínez-Moro and E. Sarmiento) 2024 Workshop on the Arithmetic of Finite Fields, Lecture Notes in Computer Science. To appear.
  1. arXiv On the affine permutation group of certain decreasing Cartesian codes (with E. Camps-Moreno, I. Soprunov, and E. Sarmiento). 2024 IEEE International Symposium on Information Theory (ISIT), (2024). IEEE. To appear.
  1. DOI arXiv Toward Quantum CSS-T Codes from Sparse Matrices (with E. Camps-Moreno, G. Matthews, and E. McMillon). 2024 IEEE International Symposium on Information Theory Workshops (ISIT-W), 1--6 (2024). IEEE.
  1. DOI PDF Springer An algebraic characterization of binary CSS-T codes and cyclic CSS-T codes for quantum fault tolerance (with E. Camps-Moreno, G. Matthews, D. Ruano, R. San-José, and I. Soprunov). Quantum Information Processing, 23, 230 (2024).
  1. DOI PDF Springer Experience in Teaching Quantum Computing with Hands-on Program- ming Labs (with F. Galetto, M. Rahmati, J. Sang, and C. Yu). The Journal of Supercomputing, 80, 14029--14056 (2024).
  1. DOI arXiv Explicit non-special divisors of small degree and LCD codes from Kummer extensions (with E. Camps and G. Matthews). SIAM Journal on Applied Algebra and Geometry, 8, no. 2, 394--413 (2024).
  1. DOI arXiv PDF Relative hulls and quantum codes (with S. Anderson, E. Camps-Moreno, G. Matthews, D. Ruano, and I. Soprunov). IEEE Transactions on Information Theory, 70, no. 5, 3190--3201 (2024).
  1. DOI arXiv Mathematical LoRE: Local Recovery of Erasures using Polynomials, Curves, Surfaces, and Liftings (with K. Haymaker, B. Malmskog, G. Matthews, and Fernando Piñero). IEEE BITS the Information Theory Magazine, (2024).
  1. DOI arXiv Springer Decreasing norm-trace codes (with C. Carvalho and G. Matthews). Designs, Codes and Cryptography, 92, 1143--1161, (2024).
  1. DOI arXiv On the generalized Hamming weights of hyperbolic codes (with E. Camps-Moreno, I. García-Marco, I. Márquez-Corbella, E. Martínez-Moro and E. Sarmiento). Journal of Algebra and Its Applications, 23, no. 7, (2024).
  1. DOI arXiv PDF Multivariate Goppa Codes (with G. Matthews). IEEE Transactions on Information Theory, 69, no. 1, 126-137 (2023).
  1. DOI Springer 3D object simplification using chain code-based point clouds (with O. A. Tapia-Dueñas and H. Sánchez-Cruz). Multimedia Tools and Applications, 82, 9491-9515 (2023).
  1. DOI arXiv Springer Relative generalized Hamming weights of evaluation codes (with D. Jaramillo-Velez and Y. Pitones). São Paulo Journal of Mathematical Sciences, 17, 188-207 (2023).
  1. DOI arXiv PDF Erasures repair for decreasing monomial-Cartesian and augmented Reed-Muller codes of high rate (with G. Matthews and D. Valvo). IEEE Transactions on Information Theory, 68 (2022), no. 3, 1651-1662.
  1. DOI Secure MatDot for Secure Distributed Matrix Multiplication (with G. Matthews and D. Valvo). 2022 IEEE Information Theory Workshop (ITW), (2022). IEEE.
  1. DOI PDF Coding Theory Package for Macaulay2 (with T. Ball, E. Camps, H. Chimal-Dzul, D. Jaramillo-Velez, N. Nichols, M. Perkins, I. Soprunov, G. Vera and G. Whieldon). Journal of Software for Algebra and Geometry, 11 (2021), no. 1, 113-122.
  1. DOI arXiv Springer The dual of an evaluation code (with I. Soprunov and R. Villarreal). Designs, Codes and Cryptography, 89 (2021), no. 7, 1367-1403.
  1. DOI arXiv PDF Polar decreasing monomial-Cartesian codes (with E. Camps, G. Matthews and E. Sarmiento). IEEE Transactions on Information Theory, 67 (2021), no. 6, 3664-3674.
  1. DOI arXiv Springer Hermitian-lifted codes (with B. Malmskog, G. Matthews, F. Piñero-González and M. Wootters). Designs, Codes and Cryptography, 89 (2021), no. 3, 497-515.
  1. DOI Augmented Reed-Muller codes of high rate and erasure repair (with G. Matthews and D. Valvo). 2021 IEEE International Symposium on Information Theory (ISIT), (2021), 438-443. IEEE.
  1. DOI arXiv Springer Monomial-Cartesian codes and their duals, with applications to LCD codes, quantum codes, and locally recoverable codes (with G. Matthews and I. Soprunov). Designs, Codes and Cryptography, 88 (2020), no. 8, 1673-1685.
  1. DOI arXiv Springer Rank-Metric Codes and q-Polymatroids (with E. Gorla, R. Jurrius and A. Ravagnani). Journal of Algebraic Combinatorics, 52 (2020), 1-19.
  1. DOI Monomial-Cartesian codes closed under divisibility (with E. Camps, G. Matthews and E. Sarmiento). 2019 14th International Conference on Finite Fields and their Applications, De Gruyter Proceedings in Mathematics, 199-208 (2020). De Gruyter.
  1. DOI arXiv PDF Affine Cartesian codes with complementary duals (with F. Manganiello and G. Matthews). Finite Fields and Their Applications, 57 (2019), 13-28.
  1. DOI Coding 3D connected regions with F26 chain code (with O. A. Tapia-Dueñas, H. Sánchez-Cruz and H. Sossa). 2018 17th Mexican International Conference on Artificial Intelligence, Lecture Notes in Computer Science, 11289, 3-14 (2019). Springer, Cham.
  1. DOI Visión Computacional (with E. Gómez-Gómez, J. C. Sánchez and H. Sánchez-Cruz). In El Reconocimiento de Patrones y su Aplicación a las Señales Digitales (2019), 73-106.
  1. DOI arXiv Springer Weight distribution of rank-metric codes (with J. de la Cruz, E. Gorla and A. Ravagnani). Designs, Codes and Cryptography, 86 (2018), no. 1, 1-16.
  1. DOI arXiv Explicit optimal-length locally repairable codes of distance 5 (with A. Beemer, R. Coatney, V. Guruswami and F. Piñero). Proceedings of the 2018 56th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 800-804 (2018). IEEE.
  1. DOI arXiv Springer Projective nested Cartesian codes (with C. Carvalho and V. López). Bulletin of the Brazilian Mathematical Society, New Series, 48 (2017), no. 2, 283-302.
  1. DOI arXiv Representations of the Multicast Network Problem (S. Anderson, W. Halbawi, N. Kaplan, F. Manganiello, E. Soljanin and J. Walker). 2016 Conference on Algebraic Geometry for Coding Theory and Cryptography, Association for Women in Mathematics Series, 9, 1-23 (2017). Springer, Cham.
  1. DOI Single chains to represent groups of objects (with H. Sánchez-Cruz and M. Mascorro-Pantoja). Digital Signal Processing, 51 (2016), 73-81.
  1. DOI arXiv PDF Computing the degree of a lattice ideal of dimension one (with R. Villarreal). Journal of Symbolic Computation, 65 (2014), no. 1, 15-28.
  1. DOI arXiv Springer Affine Cartesian codes (with C. Rentería-Márquez and R. Villarreal). Designs, Codes and Cryptography, 71 (2014), no. 1, 5-19.
  1. DOI Equivalence of chain codes (with H. Sánchez-Cruz). Journal of Electronic Imaging, 23 (2014), no. 1, 1-12.
  1. DOI A new relative chain code in 3D (with H. Sánchez-Cruz and F. Cuevas). Pattern Recognition, 47 (2014), no. 2, 769-788.
  1. DOI arXiv Complete intersections in binomial and lattice ideals (with R. Villarreal). International Journal of Algebra and Computation, 23 (2013), no. 6, 1419-1429.
  1. DOI arXiv Springer Complete intersection vanishing ideals on degenerate tori over Finite Fields (with R. Villarreal and L. Zárate). Arabian Journal of Mathematics, Springer, 2 (2013), no. 2, 189-197.
  1. DOI arXiv PDF Parameterized affine codes (with E. Sarmiento, M. Vaz-Pinto and R. Villarreal). Studia Scientiarum Mathematicarum Hungarica, 49 (2012), no. 3, 406-418.