Publicacions en revistes

• New quantum MDS codes with flexible parameters from Hermitian self-orthogonal GRS codes

  Oisin Campion, Fernando Javier Hernando Carrillo, Gary McGuire. Cryptography and Communications-Discrete-Structures Boolean Functions and Sequences. Vol. 17. pp. 1611-1625. 2025. Científic.

• Optimal (r, δ)-LRCs from monomial-Cartesian codes and their subfield-subcodes

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo, Helena Martín Cruz. DESIGNS CODES AND CRYPTOGRAPHY. Num. 9. Vol. 92. pp. 2549-2586. 2024. Científic.

• MDS, Hermitian almost MDS, and Gilbert–Varshamov quantum codes from generalized monomial-Cartesian codes

  Beatriz Barbero Lucas, Fernando Javier Hernando Carrillo, Helena Martín Cruz, Gary McGuire. QUANTUM INFORMATION PROCESSING. Num. 3. Vol. 23. pp. 1-25. 2024. Científic.

• Steane enlargement of entanglement-assisted quantum error-correcting codes

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo, Ryutaroh Matsumoto. COMPUTATIONAL & APPLIED MATHEMATICS. Num. 42. pp. 1-20. 2023. Científic.

• Algorithm 1033: Parallel Implementations for Computing the Minimum Distance of a Random Linear Code on Distributed-memory Architectures

  Gregorio Quintana Ortí, Fernando Javier Hernando Carrillo, Francisco D. Igual. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. Num. 1. Vol. 49. pp. 1-24. 2023. Científic.

• Stabilizer quantum codes defined by trace-depending polynomials

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo, Helena Martín Cruz, Diego Ruano. FINITE FIELDS AND THEIR APPLICATIONS. Vol. 87. pp. 1-33. 2023. Científic.

• On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo. DESIGNS CODES AND CRYPTOGRAPHY. Num. 5. Vol. 90. pp. 1103-1112. 2022. Científic.

• Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo, Diego Ruano. QUANTUM INFORMATION PROCESSING. Num. 5. Vol. 20. pp. 1-26. 2021. Científic.

• Locally recoverable J-affine variety codes

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo, Carlos Munuera. FINITE FIELDS AND THEIR APPLICATIONS. Vol. 64. 2020. Científic.

• Quantum codes from a new construction of self-orthogonal algebraic geometry codes

  Fernando Javier Hernando Carrillo, G. McGuire, F. Monserrat, Julio Jose Moyano Fernández. QUANTUM INFORMATION PROCESSING. Num. 4. Vol. 19. 2020. Científic.

• Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo, Ryutaroh Matsumoto, Diego Ruano. IEEE ACCESS. Vol. 8. pp. 18571-18579. 2020. Científic.

• Algorithm 994: Fast Implementations of the Brouwer-Zimmermann Algorithm for the Computation of the Minimum Distance of a Random Linear Code

  Fernando Javier Hernando Carrillo, Francisco D. Igual, Gregorio Quintana Ortí. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. Num. 2. Vol. 45. pp. 1-28. 2019. Científic.

• Classical and Quantum Evaluation Codes at the Trace Roots

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo, Diego Ruano. IEEE TRANSACTIONS ON INFORMATION THEORY . Num. 4. Vol. 65. pp. 2593-2602. 2019. Científic.

• Entanglement-assisted quantum error-correcting codes over arbitrary finite fields

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo, Ryutaroh Matsumoto, Diego Ruano. QUANTUM INFORMATION PROCESSING. Num. 4. Vol. 18. 2019. Científic.

• New Binary and Ternary LCD Codes

  Carlos Galindo Pastor, Olav Geil, Fernando Javier Hernando Carrillo, Diego Ruano. IEEE TRANSACTIONS ON INFORMATION THEORY . Num. 2. Vol. 65. pp. 1008-1016. 2019. Científic.

• Quasi-cyclic constructions of quantum codes

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo, Ryutaroh Matsumoto. FINITE FIELDS AND THEIR APPLICATIONS. Vol. 52. pp. 261-280. 2018. Científic.

• Improved constructions of nested code pairs

  Carlos Galindo Pastor, Olav Geil, Fernando Javier Hernando Carrillo, Diego Ruano. IEEE TRANSACTIONS ON INFORMATION THEORY . Num. 4. Vol. 64. pp. 2444-2459. 2018. Científic.

• On the distance of stabilizer quantum codes from J-affine variety codes

  Carlos Galindo Pastor, Olav Geil, Fernando Javier Hernando Carrillo, Diego Ruano. QUANTUM INFORMATION PROCESSING. Num. 4. Vol. 16. 2017. Científic.

• The log-canonical threshold of a plane curve

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo, F. Monserrat. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY . Num. 3. Vol. 160 . pp. 513-535. 2016. Científic.

• Stabilizer quantum codes from J -affine variety codes and a new Steane-like enlargement

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo, D. Ruano. QUANTUM INFORMATION PROCESSING. Num. 9. Vol. 14 . pp. 3211-3231. 2015. Científic.

• New quantum codes from evaluation and matrix-product codes

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo, D. Ruano. FINITE FIELDS AND THEIR APPLICATIONS. Vol. 36 . pp. 98-120. 2015. Científic.

• Quantum codes from affine variety codes and their subfield-subcodes

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo. DESIGNS CODES AND CRYPTOGRAPHY. Num. 1. Vol. 76 . pp. 76-89. 2015. Científic.

• On the classification of exceptional planar functions over Fp

  Fernando Javier Hernando Carrillo, G. McGuirre, F. Monserrat. GEOMETRIAE DEDICATA . Num. 1. Vol. 173 . pp. 1-35. 2014. Científic.

• List decoding of repeated codes

  Fernando Javier Hernando Carrillo, Michael O'Sullivan, Diego Ruano. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING. Num. Special Issue:3-4. Vol. 24 . pp. 237-253. 2013. Científic.

• The dimension of subcode-subfields of shortened generalized Reed-Solomon codes

  Fernando Javier Hernando Carrillo, K. Marshall, M. E. O'Sullivan. DESIGNS CODES AND CRYPTOGRAPHY. Num. 1. Vol. 69 . pp. 131-142. 2013. Científic.

• Decoding of matrix-product codes

  Fernando Javier Hernando Carrillo, D. Ruano. JOURNAL OF ALGEBRA AND ITS APPLICATIONS. Num. 4 (12) Article Number: 1250185. pp. 1-15. 2013. Científic.

• List decoding of Matrix-Product codes from nested codes: An application to quasi-cyclic codes

  Fernando Javier Hernando Carrillo, T. Hoholdt, D. Ruano. ADVANCES IN MATHEMATICS OF COMMUNICATIONS. Num. 3. Vol. 6 . pp. 259-272. 2012. Científic.

• Proof of a conjecture of Sebre and Bartocci on monomial hyperovals in projective planes

  Fernando Javier Hernando Carrillo, G. McGuire. DESIGNS CODES AND CRYPTOGRAPHY. Num. 3. Vol. 65 . pp. 275-289. 2012. Científic.

• Proof of a conjecture on the sequence of exceptional numbers, classifying cyclic codes and APN functions

  Fernando Javier Hernando Carrillo, Gary McGuire. JOURNAL OF ALGEBRA . Num. 1. Vol. 343. pp. 78-92. 2011. Científic.

• New linear codes from matrix-product codes with polynomial units

  Fernando Javier Hernando Carrillo, D. Ruano. ADVANCES IN MATHEMATICS OF COMMUNICATIONS. Num. 3. Vol. 4 . pp. 363-367. 2010. Científic.

• Poincaré series of collections of plane valuations

  A. Campillo, F. Delgado, S.M. Gusein-Zade, Fernando Javier Hernando Carrillo. INTERNATIONAL JOURNAL OF MATHEMATICS . Num. 11-21. pp. 1461-1473. 2010. Científic.

• Construction and decolding of matrix-product codes from nested codes

  Fernando Javier Hernando Carrillo, K. Lally, D. Ruano. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING. Num. 5-6. Vol. 20 . pp. 497-507. 2009. Científic.

• Quasi-ordinary singularities, essential divisors and Poincaré series

  P.D. González, Fernando Javier Hernando Carrillo. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY. Num. 3. Vol. 79 . pp. 780-802. 2009. Científic.

Capítols de llibre

• The Poincaré polynomial of a linear code

  Carlos Galindo Pastor, Fernando Javier Hernando Carrillo, Francisco Monserrat del Palillo, Ruud Pellikaan. Singularities, algebraic geometry, commutative algebra, and related topics. Cham (Suïssa). Ed. Springer. 2018. ISBN 9783319968261. Científic.

• On The Classification of Perfect Nonlinear (PN) and Almost Perfect Nonlinear (APN) Monomial Functions

  Fernando Javier Hernando Carrillo, G. McGuire. Finite Fields and Their Applications. (276) (Alemanya). Ed. De Gruyter. 2013. ISBN 9783110282405. Científic.

Aportacions a congressos

• Subfield-Subcodes of Generalized Toric codes

  Fernando Javier Hernando Carrillo, Michael E. O'Sulllivan, Emanuel Popovici, Shraddha Srivastava. ISIT 2010. Austin, Texas (Estats Units de l'Amèrica del Nord). 13-06-2010. Científic. 2010. Ed. IEEE. ISIT 2010. ISBN 9781424478927.

Direcció de tesis

• Quantum codes and locally recoverable codes from evaluation codes

  Autoria: Martín Cruz, Helena. Institució: Universitat Jaume I (Espanya). Data lectura: 24/07/24. Direcció: Fernando Javier Hernando Carrillo, Carlos Galindo Pastor.

Altres congressos

• New quantum codes from homothetic-BCH codes

  Fernando Javier Hernando Carrillo. Encuentro SINGACOM. Granada (Espanya). 02-09-2025. Científic. 2025.

• Quantum Codes using Algebraic Geometric Codes

  Fernando Javier Hernando Carrillo. 9th International Congress on Industrial and Applied Mathematics (ICIAM). València (Espanya). 15-07-2019. Científic. 2019.

• On the computation of the duals of certain Algebraic Geometric codes with an application to quantum codes

  Fernando Javier Hernando Carrillo. Congreso Bienal de la Real Sociedad Matemática Española. Santander (Espanya). 04-02-2019. Científic. 2019.

• Quantum Huperbolic codes and a new Steane-like enlargement

  Fernando Javier Hernando Carrillo, C. Galindo, D. Ruano. III Congreso Jóvenes Investigadores de la Real Sociedad Española de Matemáticas (RSME 2015). Murcia (Espanya). 07-09-2015. Científic. 2015.

• Quantum codes with bounded minimum distance (Abstract)

  Fernando Javier Hernando Carrillo. Workshop on Algebra and Geometry 2015. Singularities, computer algebra and information theory. Valladolid (Espanya). 02-09-2015. Científic. 2015.

• Quantum codes with bounded minimum distance

  Fernando Javier Hernando Carrillo. Conferrence Applications of Computer Algebra (ACA 2015). Kalamata (Grècia). 20-07-2015. Científic. 2015.

• Quantumcodes from evaluation

  D. Ruano, Fernando Javier Hernando Carrillo, Carlos Galindo Pastor. Congreso Bienal de la Real Sociedad Matemática Española (RSME 2015). Granada (Espanya). 02-02-2015. Científic. 2015.

• The log-canonical threshold of a planar curve

  Fernando Javier Hernando Carrillo. 2º Congreso de Jóvenes Investigadores de la Real Sociedd Matemática Española. Sevilla (Espanya). 16-09-2013. Científic. 2013.

• Interpolation Deceding of a Class of Quasi-cyclic Codes

  Fernando Javier Hernando Carrillo, Michael E.. SIAM Conference on Applied Algebraic Geometry. Raleigh, North Carolina, USA. 06-10-2011. Científic. 2011.

Conferències impartides

• Locally recoverable J-affine variety codes

  Fernando Javier Hernando Carrillo. Seminario de especialización de Álgebra, Geometría Algebraica y Singularidades. Universidad de La Laguna (Espanya). 08-02-2022.

• On the classification of PN and APN Monomial Functions

  Fernando Javier Hernando Carrillo. Universität Zürich. Institut für Mathematik (Suïssa). 18-03-2013.

Comités de congresos

• V Congreso de Jóvenes Investigadores Real Sociedad Matemática Española (RSME 2020). Castelló (Espanya). 27-01-2020. Comité organitzador. Científic.

• Third IMAC and Singacom Day on Algebraic Applications to information theory. Castelló de la Plana (Espanya). 09-05-2016. Comité organitzador. Científic.

• Second Mini-Workshop IMAC-Singacom in La Plana: Topics in monoid theory and its apllications. Castelló de la Plana (Espanya). 24-09-2015. Comité organitzador. Científic.

• 1st Mini-Workshop IMAC-Singacom in la Plana: Trends in Commutative Algebra. Universitat Jaume I, Castellón (Espanya). 18-09-2014. Comité organitzador. Científic.

• Second IMAC and SINGACOM Workshop on Algebraic Applications to Information Theory. Universitat Jaume I, Castellón (Espanya). 17-07-2014. Comité organitzador. Científic.

• Firts International IMAC Workshop on Algebraic Applications to Information Theory. Castelló de la Plana (Espanya). 17-04-2012. Comité organitzador. Científic.