Publications

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  1. PDF E. Camps-Moreno, O. Geil, H. López, G. Matthews, R. San-José, A study of the mth relative Feng-Rao distances with a special emphasis on Cab curves . (Submitted).
  1. PDF D. Bhunia, E. Camps-Moreno, I. García-Marco, H. López, I. Márquez-Corbella, Polynomials with restricted support and maximal zeros on a finite Cartesian set. (Submitted).
  1. PDF R. D’Oliveira, G. Gaggero, A. Jaramillo Gil, H. López, C. Martínez-Reyes, D. Vaghasiya, Function Tables for Secure Distributed Matrix Multiplication. (Submitted).
  1. PDF E. Gómez-Gómez, H. López, H. Sánchez-Cruz, Vertex chain code for 3D objects. (Submitted).
  1. PDF D. Jaramillo-Velez, H. López, R. San-José, Private neighbors, perfect codes, and their relation with the v-number of closed neighborhood ideals. (Submitted).
  1. PDF E. Camps Moreno, H. López, G. Matthews, N. Rengaswamy, and R. San-José, Transversal gates for quantum CSS codes. (Submitted).
  1. PDF M. Lichtenwalner, H. López, G. Matthews, and P. Seneviratne, Permutation decoding of algebraic geometry codes from Hermitian and norm-trace curves. (Submitted).
  1. PDF E. Camps Moreno, E. Gorla, and H. López, Code distances: a new family of invariants of linear codes. (Submitted).
  1. PDF C. Carvalho, H. López, and R. San-José, Cartesian square-free codes. Boletín de la Sociedad Matemática Mexicana, 32, 125 (2026).
  1. PDF V. Kuchta, J. LeGrow, H. López, and G. Matthews, Towards IOPPs from Folded Reed-Solomon Codes. Transactions on Mathematical Cryptology (to appear).
  1. DOI PDF H. López, Fundamentals and Applications of Coding Theory: A Polynomial Approach. Notices of the American Mathematical Society (2026).
  1. DOI PDF E. Camps Moreno, C. Espinosa-Valdéz, H. López, L. Núñez-Betancourt, and Y. Pitones, Bounds and MacWilliams Identities for codes over Artinian rings. SIAM Journal on Applied Algebra and Geometry (2026).
  1. DOI PDF ¸S. Bodur, S. Lia, H. López, R. Ludhani, A. Ravagnani, and L. Seccia, The Random Variables of the DNA Coverage Depth Problem. IEEE Transactions on Information Theory (2026).
  1. DOI PDF S. Arpin, J. LeGrow, H. López, and G. Matthews, Digital signature schemes based on code equivalence and syndrome decoding from restricted errors. IEEE BITS the Information Theory Magazine (2026).
  1. DOI PDF H. López and G. Matthews, Linear Exact Repair Schemes for Evaluation Codes. International Zurich Seminar on Information and Communication (2026).
  1. DOI PDF E. Camps Moreno, A. Fidalgo-Díaz, H. López, U. Martínez-Peñas, D. Ruano, and R. San-José, Duals of multiplicity codes. Designs, Codes and Cryptography, 94 (2026).
  1. DOI PDF E. Camps-Moreno, H. López, J. B. Lau, and W. Santos, The permutation group of Reed-Solomon codes over arbitrary points. 2025 IEEE International Symposium on Information Theory (ISIT), 1–6. IEEE (2025).
  1. DOI PDF H. López, G. Matthews, and D. Valvo, A repair scheme for a distributed storage system based on multivariate polynomials. Handbook of Visual, Experimental and Computational Mathematics, 1–15. Springer, Cham (2025).
  1. DOI PDF D. Bossaller and H. López, Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings. Journal of Algebra and Its Applications, 24, no. 13n14 (2025).
  1. DOI PDF O. Tapia-Dueñas, H. López, and H. Sánchez-Cruz, A polyhedral reconstruction of a 3D object from a chain code and a low-density point cloud. Multimedia Tools and Applications, 84, 40839–40866 (2025).
  1. DOI PDF E. Camps-Moreno, H. López, G. Matthews, and R. San-José, The weight hierarchy of decreasing norm-trace codes. Designs, Codes and Cryptography, 93, 2873–2894 (2025).
  1. DOI PDF E. Camps-Moreno, H. López, I. García-Marco, I. Márquez-Corbella, E. Martínez-Moro, and E. Sarmiento, On decoding hyperbolic codes. 2024 Workshop on the Arithmetic of Finite Fields, Lecture Notes in Computer Science, 15176. Springer, Cham (2025).
  1. DOI PDF E. Camps-Moreno, H. López, G. Matthews, D. Ruano, R. San-José, and I. Soprunov, Binary Triorthogonal and CSS-T Codes for Quantum Error Correction. 2024 60th Annual Allerton Conference on Communication, Control, and Computing (Allerton) (2024).
  1. DOI PDF E. Camps-Moreno, H. López, E. Sarmiento, and I. Soprunov, On the affine permutation group of certain decreasing Cartesian codes. 2024 IEEE International Symposium on Information Theory (ISIT), 3160–3165. IEEE (2024).
  1. DOI PDF E. Camps-Moreno, H. López, G. Matthews, and E. McMillon, Toward Quantum CSS-T Codes from Sparse Matrices. 2024 IEEE International Symposium on Information Theory Workshops (ISIT-W), 1–6. IEEE (2024).
  1. DOI PDF E. Camps-Moreno, H. López, G. Matthews, D. Ruano, R. San-José, and I. Soprunov, An algebraic characterization of binary CSS-T codes and cyclic CSS-T codes for quantum fault tolerance. Quantum Information Processing, 23, no. 230 (2024).
  1. DOI PDF F. Galetto, H. López, M. Rahmati, J. Sang, and C. Yu, Experience in Teaching Quantum Computing with Hands-on Programming Labs. Journal of Supercomputing, 80, 14029–14056 (2024).
  1. DOI PDF E. Camps, H. López, and G. Matthews, Explicit non-special divisors of small degree and LCD codes from Kummer extensions. SIAM Journal on Applied Algebra and Geometry, 8, no. 2, 394–413 (2024).
  1. DOI PDF S. Anderson, E. Camps-Moreno, H. López, G. Matthews, D. Ruano, and I. Soprunov, Relative hulls and quantum codes. IEEE Transactions on Information Theory, 70, no. 5, 3190–3201 (2024).
  1. DOI PDF K. Haymaker, H. López, B. Malmskog, G. Matthews, and Fernando Piñero, Mathematical LoRE: Local Recovery of Erasures using Polynomials, Curves, Surfaces, and Liftings. IEEE BITS the Information Theory Magazine (2024).
  1. DOI PDF C. Carvalho, H. López, and G. Matthews, Decreasing norm-trace codes. Designs, Codes and Cryptography, 92, 1143–1161 (2024).
  1. DOI PDF E. Camps-Moreno, I. García-Marco, H. López, I. Márquez-Corbella, E. Martínez-Moro, and E. Sarmiento, On the generalized Hamming weights of hyperbolic codes. Journal of Algebra and Its Applications, 23, no. 7 (2024).
  1. DOI PDF H. López and G. Matthews, Multivariate Goppa Codes. IEEE Transactions on Information Theory, 69, no. 1, 126–137 (2023).
  1. DOI PDF O. Tapia-Dueñas, H. Sánchez-Cruz, and H. López, 3D object simplification using chain code-based point clouds. Multimedia Tools and Applications, 82, 9491–9515 (2023).
  1. DOI PDF D. Jaramillo-Velez, H. López, and Y. Pitones, Relative generalized Hamming weights of evaluation codes. São Paulo Journal of Mathematical Sciences, 17, 188–207 (2023).
  1. DOI PDF H. López, G. Matthews, and D. Valvo, Erasures repair for decreasing monomial-Cartesian and augmented Reed-Muller codes of high rate. IEEE Transactions on Information Theory, 68, no. 3, 1651–1662 (2022).
  1. DOI PDF H. López, G. Matthews, and D. Valvo, Secure MatDot codes: a secure, distributed matrix multiplication scheme. 2022 IEEE Information Theory Workshop (ITW), 149–154 (2022).
  1. DOI PDF T. Ball, E. Camps, H. Chimal-Dzul, D. Jaramillo-Velez, H. López, N. Nichols, M. Perkins, I. Soprunov, G. Vera, and G. Whieldon, Coding Theory Package for Macaulay2. Journal of Software for Algebra and Geometry, 11, no. 1, 113–122 (2021).
  1. DOI PDF H. López, I. Soprunov, and R. Villarreal, The dual of an evaluation code. Designs, Codes and Cryptography, 89, no. 7, 1367–1403 (2021).
  1. DOI PDF E. Camps, H. López, G. Matthews, and E. Sarmiento, Polar decreasing monomial-Cartesian codes. IEEE Transactions on Information Theory, 67, no. 6, 3664–3674 (2021).
  1. DOI PDF H. López, B. Malmskog, G. Matthews, F. Piñero-González, and M. Wootters, Hermitian-lifted codes. Designs, Codes and Cryptography, 89, no. 3, 497–515 (2021).
  1. DOI PDF H. López, G. Matthews, and D. Valvo, Augmented Reed-Muller codes of high rate and erasure repair. 2021 IEEE International Symposium on Information Theory (ISIT), 438–443. IEEE (2021).
  1. DOI PDF H. López, G. Matthews, and I. Soprunov, Monomial-Cartesian codes and their duals, with applications to LCD codes, quantum codes, and locally recoverable codes. Designs, Codes and Cryptography, 88, no. 8, 1673–1685 (2020).
  1. DOI PDF E. Gorla, R. Jurrius, H. López, and A. Ravagnani, Rank-Metric Codes and q-Polymatroids. Journal of Algebraic Combinatorics, 52, 1–19 (2020).
  1. DOI PDF E. Camps, H. López, G. Matthews, and E. Sarmiento, Monomial-Cartesian codes closed under divisibility. 2019 14th International Conference on Finite Fields and their Applications, De Gruyter Proceedings in Mathematics, 199–208. De Gruyter (2020).
  1. DOI PDF H. López, F. Manganiello, and G. Matthews, Affine Cartesian codes with complementary duals. Finite Fields and Their Applications, 57, 13–28 (2019).
  1. DOI PDF O. A. Tapia-Dueñas, H. Sánchez-Cruz, H. López, and H. Sossa, Coding 3D connected regions with F26 chain code. 2018 17th Mexican International Conference on Artificial Intelligence, Lecture Notes in Computer Science, 11289, 3–14. Springer, Cham (2019).
  1. DOI PDF E. Gómez-Gómez, H. López, J. C. Sánchez, and H. Sánchez-Cruz, Visión Computacional. In El Reconocimiento de Patrones y su Aplicación a las Señales Digitales, 73–106 (2019).
  1. DOI PDF J. de la Cruz, E. Gorla, H. López, and A. Ravagnani, Weight distribution of rank-metric codes. Designs, Codes and Cryptography, 86, no. 1, 1–16 (2018).
  1. DOI PDF A. Beemer, R. Coatney, V. Guruswami, H. López, and F. Piñero, Explicit optimal-length locally repairable codes of distance 5. 2018 56th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 800–804. IEEE (2018).
  1. DOI PDF C. Carvalho, V. Lopez, and H. López, Projective nested Cartesian codes. Bulletin of the Brazilian Mathematical Society, New Series, 48, no. 2, 283–302 (2017).
  1. DOI PDF S. Anderson, W. Halbawi, N. Kaplan, H. López, F. Manganiello, E. Soljanin, and J. Walker, Representations of the Multicast Network Problem. 2016 Conference on Algebraic Geometry for Coding Theory and Cryptography, Association for Women in Mathematics Series, 9, 1–23. Springer, Cham (2017).
  1. DOI PDF H. López, H. Sánchez-Cruz, and M. Mascorro-Pantoja, Single chains to represent groups of objects. Digital Signal Processing, 51, 73–81 (2016).
  1. DOI PDF H. López and R. Villarreal, Computing the degree of a lattice ideal of dimension one. Journal of Symbolic Computation, 65, no. 1, 15–28 (2014).
  1. DOI PDF H. López, C. Rentería-Márquez, and R. Villarreal, Affine Cartesian codes. Designs, Codes and Cryptography, 71, no. 1, 5–19 (2014).
  1. DOI PDF H. Sánchez-Cruz and H. López, Equivalence of chain codes. Journal of Electronic Imaging, 23, no. 1, 1–12 (2014).
  1. DOI PDF H. Sánchez-Cruz, H. López, and F. Cuevas, A new relative chain code in 3D. Pattern Recognition, 47, no. 2, 769–788 (2014).
  1. DOI PDF H. López and R. Villarreal, Complete intersections in binomial and lattice ideals. International Journal of Algebra and Computation, 23, no. 6, 1419–1429 (2013).
  1. DOI PDF H. López, R. Villarreal, and L. Zárate, Complete intersection vanishing ideals on degenerate tori over finite fields. Arabian Journal of Mathematics, Springer, 2, no. 2, 189–197 (2013).
  1. DOI PDF H. López, E. Sarmiento, M. Vaz-Pinto, and R. Villarreal, Parameterized affine codes. Studia Scientiarum Mathematicarum Hungarica, 49, no. 3, 406–418 (2012).