**Diego Ruano**

Associate Professor of Mathematics *(ES: Profesor Titular de Universidad, Álgebra)*

Research group SINGACOM

IMUVA-Mathematics Research Institute

University of Valladolid, Spain

Coding Theory, Cryptography, Computer Algebra, Algebraic Geometry

**Contact Information**

Office location: A313, Facultad de Ciencias

Phone: +34 983 18 50 84

Fax: +34 983 42 37 88

Email: diego.ruano((at))uva.es

Skype: diegoruano

**Mailing Address**

Department of Algebra, Analysis, Geometry and Topology

Faculty of Science (Campus Miguel Delibes)

University of Valladolid

Paseo Belén 7

47011-Valladolid

Spain

**Social networks**

Linkedin, ResearchGate, Twitter

**Professional Service**

- Academic secretary, IMUVA-Mathematics Research Institute, June 2023- .
- Area editor, JACODESMATH-Journal of Algebra Combinatorics Discrete Structures and Applications.
- Reviewer, MathSciNet and Zentralblatt MATH.
- Organizer, PhD course "Introducción a la computación cuántica (sin la física)", Valladolid, April 26th-27th 2023.
- Organizer, International School on Tropical Geometry, Valladolid,
~~May 25th-29th 2020~~May 23rd-27th 2022. - Organizer, minisymposium "Algebraic Coding Theory and Information Theory" at ICIAM 2019, Valencia, Spain 2019.
- Organizer, GAS Seminar and virtual GAS Seminar, Research Group SINGACOM at the University of Valladolid, 2018-2021.
- Organizer, Dune Workshop on Secrets, Skagen, Denmark 2017.
- Organizer, 4th AGINCC workshop, Skagen, Denmark 2013.
- Organizer, CACT, special session at ACA 2008, RISC, Austria 2008.
- Organizer, II Singacom Thematic Seminar, Segovia, Spain 2007.
- Organizer, YMIS 05, YMIS 06, YMIS 07, YMIS 08, Sedano, Spain 2005-2008.
- Scientific committee, Discrete Mathematics Days 2024. Universidad de Alcalá, Alcalá de Henares (Spain), July 3rd-5th 2024 Spain.
- Scientific committee, Fifth IMAC and Singacom Day on Algebraic Applications to Information Theory. University Jaume I, Castellón, Spain December, 14th-15th 2021.
- Scientific committee, IMUVA-Mathematics Research Institute at the University of Valladolid, 2021- .
- Scientific committee, V Congreso de Jovenes Investigadores de la RSME, Universitat Jaume I, Castellón, Spain 2020.
- Local comittee, Workshop on Applications of Algebraic Geometry in Secret Sharing and Coding Theory, Aalborg, Denmark 2014.
- Local comittee, S3CM 08, S3CM 09, S3CM 10, Soria, Spain 2008-2010.

**Teaching, Supervision and Committee**

Supervised theses and theses committee

**Publications**

Publications (and citations) at Google Scholar, MathSciNet, ORCID, Scopus, Web of Science, Zentralblatt MATH.

Papers submitted for publication:- P. Gimenez, D. Ruano, R. San-José: Subfield subcodes of projective Reed-Muller codes (2023). [preprint]
- P. Gimenez, D. Ruano, R. San-José: Entanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed-Solomon codes (2023). [preprint]
- S.E. Anderson, E. Camps-Moreno, H.H. López, G.L. Matthews, D. Ruano, I. Soprunov: Relative hulls and quantum codes (2022). [preprint]

- P. Gimenez, D. Ruano, R. San-José: Saturation and vanishing ideals. São Paulo Journal of Mathematical Sciences. Volume 17, pages 147-155 (2023). [preprint] [paper]
- C. Galindo, F. Hernando, H. Martín-Cruz, D. Ruano: Stabilizer quantum codes defined by trace-depending polynomials. Finite Fields and their Applications. Volume 87, 102138 (2023) [preprint] [paper (open access)]
- R.B. Christensen, C. Munuera, F.R.F. Pereira, D. Ruano: An algorithmic approach to entanglement-assisted quantum error-correcting codes from the Hermitian curve. Advances in Mathematics of Communications, Volume 17, pages 78-97 (2023). [preprint] [paper]
- C. Galindo, F. Hernando, D. Ruano: Entanglement-assisted quantum error correcting codes from RS codes and BCH codes with extension degree 2. Quantum Information Processing 20, 158 (2021). [eprint] [paper]
- I. García-Marco, I. Márquez-Corbella, D. Ruano: High dimensional affine codes whose square has a designed minimum distance. Designs, Codes and Cryptography. Volume 88, pages 1653-1672 (2020). [eprint] [paper]
- C. Galindo, F. Hernando, R. Matsumoto, D. Ruano: Asymmetric entanglement-assisted quantum error-correcting codes and BCH codes. IEEE Access. Volume 8, pages 18571-18579 (2020). [eprint] [paper (open access)]
- I. Cascudo, J.S. Gundersen, D. Ruano: Squares of Matrix-product Codes. Finite Fields and their Applications. Volume 62, 101606 (2020). [eprint] [paper]
- I. Cascudo, J.S. Gundersen, D. Ruano: Improved Bounds on the Threshold Gap in Ramp Secret Sharing. IEEE Transactions on Information Theory. Volume 65, Issue 7, pages 4620-4633 (2019). [eprint] [paper]
- O. Geil, F. Özbudak, D. Ruano: Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve. Semigroup Forum. Volume 98, Issue 3, pages 543-555 (2019). [eprint] [paper]
- C. Galindo, F. Hernando, D. Ruano: Classical and quantum evaluation codes at the trace roots. IEEE Transactions on Information Theory. Volume 65, Issue 4, pages 2593-2602 (2019). [eprint] [paper]
- C. Galindo, F. Hernando, R. Matsumoto, D. Ruano: Entanglement-assisted quantum error-correcting codes over arbitrary finite fields. Quantum Information Processing 18:116 (2019). [eprint] [paper (open access)] [erratum]
- C. Galindo, O. Geil, F. Hernando, D. Ruano: New binary and ternary LCD codes. IEEE Transactions on Information Theory. Volume 65, Issue 2, pages 1008-1016 (2019). [eprint] [paper]
- D.E. Lucani, M.V. Pedersen, D. Ruano, C.W. Sørensen, F.H.P. Fitzek, J. Heide, O. Geil, V. Nguyen, M. Reisslein: Fulcrum: Flexible Network Coding for Heterogeneous Devices. IEEE Access. Volume 6, pages 77890-77910 (2018) [paper (open access)] [erratum]
- C. Galindo, O. Geil, F. Hernando, D. Ruano: Improved constructions of nested code pairs. IEEE Transactions on Information Theory. Volume 64, Issue 4, pages 2444-2459 (2018). [eprint] [paper]
- O. Geil, S. Martin, U. Martínez-Peñas, R. Matsumoto, D. Ruano: On asymptotically good ramp secret sharing schemes. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. Volume E100-A, Number 12, pages 2699-2708 (2017) [eprint] [paper]
- C. Galindo, O. Geil, F. Hernando, D. Ruano: On the distance of stabilizer quantum codes from J-affine variety codes. Quantum Information Processing. Volume 16, Issue 4, 16:111 (2017). [eprint] [paper]
- O. Geil, S. Martin, U. Martínez-Peñas, D. Ruano: Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower. Journal of Algebra Combinatorics Discrete Structures and Applications. Volume 4, Issue 1, pages 37-47 (2017) [eprint] [paper (open access)]
- R. Matsumoto, D. Ruano, O. Geil: List decoding algorithm based on voting in Gröbner bases for general one-point AG codes. Journal of Symbolic Computation. Volume 79, Part 2, pages 384-410 (2017). [eprint] [paper]
- C. Galindo, F. Hernando, D. Ruano: Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement. Quantum Information Processing. Volume 14, Issue 9, pages 3211-3231 (2015). [eprint] [paper]
- C. Galindo, F. Hernando, D. Ruano: New quantum codes from evaluation and matrix-product codes. Finite Fields and their Applications. Volume 36, pages 98-120 (2015). [eprint] [paper (open access)]
- O. Geil, S. Martin, R. Matsumoto, D. Ruano, Y. Luo: Relative generalized Hamming weights of one-point algebraic geometric codes. IEEE Transactions on Information Theory. Volume 60, Issue 10, pages 5938-5949 (2014). [eprint] [paper]
- I. Márquez-Corbella, E. Martínez-Moro, R. Pellikaan, D. Ruano: Computational Aspects of Retrieving a Representation of an Algebraic Geometry Code. Journal of Symbolic Computation. Volume 64, pages 67-87 (2014). [eprint] [paper (open access)]
- O. Geil, R. Matsumoto, D. Ruano: Feng-Rao decoding of primary codes. Finite Fields and their Applications. Volume 23, pages 35-52 (2013). [eprint] [paper (open access)]
- F. Hernando, M. O'Sullivan, D. Ruano: List decoding of repeated codes. Applicable Algebra in Engineering, Communication and Computing. Volume 24, Issue 3-4, pages 237-253 (2013). [eprint] [paper]
- R. Matsumoto, D. Ruano, O. Geil: Generalization of the Lee-O'Sullivan list decoding for one-point AG codes. Journal of Symbolic Computation. Volume 55, pages 1-9 (2013). [eprint] [paper (open access)]
- F. Hernando, D. Ruano: Decoding of matrix-product codes. Journal of Algebra and its Applications. Volume 12, Issue 4, Article ID 1250185, 15 pages (2013). [eprint] [paper]
- P. Beelen, D. Ruano: Bounding the number of points on a curve using a generalization of Weierstrass semigroups. Designs, Codes and Cryptography. Volume 66, Issue 1-3, pages 221-230 (2013). [eprint] [paper]
- F. Hernando, T. Høholdt, D. Ruano: List decoding of matrix-product codes from nested codes: an application to quasi-cyclic codes. Advances in Mathematics of Communications. Volume 6, Issue 3, pages 259-272 (2012). [postprint] [paper]
- O. Geil, C. Munuera, D. Ruano, F. Torres: On the order bounds for one-point AG codes. Advances in Mathematics of Communications. Volume 5, Issue 3, pages 489-504 (2011). [postprint] [paper]
- F. Hernando, D. Ruano: New linear codes from matrix-product codes with polynomial units. Advances in Mathematics of Communications. Volume 4, Issue 3, pages 363-367 (2010). [postprint] [paper]
- F. Hernando, K. Lally, D. Ruano: Construction and decoding of matrix-product codes from nested codes. Applicable Algebra in Engineering, Communication and Computing. Volume 20, Issue 5, pages 497-507 (2009). [postprint] [paper]
- D. Ruano: On the structure of generalized toric codes. Journal of Symbolic Computation. Volume 44, Issue 5, pages 499-506 (2009). [postprint] [paper (open access)]
- D. Ruano: On the parameters of r-dimensional toric codes. Finite Fields and their Applications. Volume 13, Issue 4, pages 962-976 (2007). [postprint] [paper (open access)]
- D. Ruano: Computing the Feng-Rao distances for codes from order domains. Journal of Algebra. Volume 309, Issue 2, pages 672-682 (2007). [postprint] [paper (open access)]

- D. Ruano, D.E. Lucani, O. Geil: Accelerated Processing for Maximum Distance Separable Codes using Composite Field Extensions. US2019/0109603A1 (2019). [US Patent & TO] [Google Patents]

- Ş. Bodur, E. Martínez-Moro, D. Ruano: Private Information Schemes Using Cyclic Codes. In: Arithmetic of Finite Fields. WAIFI 2022. Mesnager, S., Zhou, Z. (eds). Lecture Notes in Computer Science, vol 13638. Springer, pages 194-207 (2023). [preprint] [paper]
- D. Ruano, D.E. Lucani, O. Geil: Accelerated Processing for Maximum Distance Separable Codes using Composite Extension Fields. In: European Wireless 2019; 25th European Wireless Conference. Aarhus, Denmark. VDE Verlag. ISBN: 978-3-8007-4948-5 (2019). [eprint] [paper]
- R. Matsumoto, D. Ruano: Geometric and Computational Approach to Classical and Quantum Secret Sharing. In: Applications of Computer Algebra. ACA 2015. Kotsireas I., Martínez-Moro E. (eds). Springer Proceedings in Mathematics & Statistics, vol 198. Springer, pages 267-272 (2017). [eprint] [paper]
- O. Geil, R. Matsumoto, D. Ruano: List decoding algorithms based on Gröbner bases for general one-point AG codes. Proceedings of 2012 IEEE International Symposium on Information Theory (ISIT), pages 86-90 (2012). [postprint] [paper]
- P. Beelen, D. Ruano: The order bound for toric codes. Applied algebra, algebraic algorithms, and error-correcting codes, Lecture Notes in Computer Science, 5527. Springer, Berlin, pages 1-10 (2009). [postprint] [paper]

- E. Martínez-Moro, C. Munuera, D. Ruano: editors of the book, Advances in Algebraic Geometry Codes. Series on Coding Theory and Cryptography - Vol. 5, 452 pages. World Scientific. ISBN 978-981-279-400-0 (2008). [ebook]
- E. Martínez-Moro, C. Munuera, D. Ruano: Gröbner bases: Applications to Algebraic Coding Theory (in Spanish). Venezuelan School of Mathematics, 125 pages. Edited by Venezuelan Mathematical Society, ISBN: 978-980-261-087-7 (2007). [ebook]

- D. Ruano: The metric structure of linear codes. In Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics, pages 537-561. Editors: G.-M. Greuel, L. Narváez Macarro, S. Xambó-Descamps. Springer Verlag. ISBN: 978-3-319-96826-1 (2018). [eprint] [paper]
- E. Martínez-Moro, D. Ruano: Mattson Solomon transform and algebra codes. In Gröbner Bases, Coding, and Cryptography, pages 385-388. Editors: M. Sala, T. Mora, L. Perret, S. Sakata, C. Traverso. Springer Verlag. ISBN: 978-3-540-93805-7 (2009). [paper]
- E. Martínez-Moro, D. Ruano: Toric codes. Chapter 8 in Advances in Algebraic Geometry Codes, pages 295-322. Series on Coding Theory and Cryptography - Vol. 5. World Scientific. ISBN 978-981-279-400-0 (2008). [paper]

- D. Ruano: Algebraic coding theory and some of its applications. In Proceedings of EACA 2022 XVII meeting on computational algebra and its applications, pages 23-29 (2022).
- O. Geil, S. Martin, U. Martínez-Peñas, D. Ruano: Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower. ACA 2015-Applications of Computer Algebra. Kalamata, Greece (2015).
- C. Galindo, F. Hernando, D. Ruano: Quantum codes with bounded minimum distance. ACA 2015-Applications of Computer Algebra. Kalamata, Greece (2015).
- R. Matsumoto, D. Ruano: Geometric and Computational Approach to Classical and Quantum Secret Sharing. ACA 2015-Applications of Computer Algebra. Kalamata, Greece (2015).
- O. Geil, S. Martin, U. Martínez-Peñas, R. Matsumoto, D. Ruano: On asymptotically good ramp secret sharing schemes. WCC-2015. The Ninth International Workshop on Coding and Cryptography (2015).
- O. Geil, S. Martin, R. Matsumoto, D. Ruano, Y. Luo: Relative generalized Hamming weights of one-point algebraic geometric codes. In Proceedings of Information Theory Workshop (ITW), 2014 IEEE, pages 137-141 (2014). [paper]
- I. Márquez-Corbella, E. Martínez-Moro, G.R. Pellikaan, D. Ruano: Computational Aspects of Retrieving a Representation of an Algebraic Geometry Code. In Proceedings of SCC-2012, the Third International Conference on Symbolic Computation and Cryptography (2012).
- P. Beelen, D. Ruano: Bounding the number of points on a curve using a generalization of Weierstrass semigroups. In Proceedings of WCC-2011. The Seventh International Workshop on Coding and Cryptography (2011).
- S. Bulygin, O. Geil, D. Ruano: A Note on the Injection Distance (2009).
- F. Hernando, D. Ruano: Sixteen new linear codes with Plotkin sum (2008).
- D. Ruano: Generalized Toric Codes. In Book of abstracts of Tenth meeting on computational algebra and its applications-EACA 2006, pages 151-154. Edited by F.J. Castro Jiménez, J.M. Ucha Enríquez. ISBN: 84-611-2311-5 (2006).
- D. Ruano: Some algorithms for computing the minimum distance. In Proceedings of Fifth Spanish meeting on discrete mathematics and algorithmics, pages 421-428. Edited by Edgar Martínez-Moro. ISBN: 84-8448-380-0 (2006).
- I. Merillas-Santos, D. Ruano: Richardson Model-Maple Session. In Mathematical Models and Dynamical Processes: First contact (in Spanish), S. Pérez-Cacho, F.M. Gómez, J.M. Marbán, pages: 216-219. Edited by University of Valladolid. ISBN: 84-8448-186-7 (2002).

Diego studied Mathematics at the Universities of Valladolid (2002) and Kaiserslautern (2003, double degree program). He obtained a PhD degree in Mathematics at the University of Valladolid in 2007. He was a postdoctoral researcher at the University of Kaiserslautern (2007) and a H.C. Ørsted postdoc fellow at the Technical University of Denmark (2008). He has been an assistant professor (2009-2012) and an associate professor (2013-2018) at Aalborg University. Diego has been a Ramón-y-Cajal fellow (2018-2023) and, since June 2023, he is an associate professor at IMUVA-Mathematics Research Institute, University of Valladolid.

Here (and also here) you can see me at AAECC-18 (Fortunately, I was not misbehaving at that moment).

And here another picture, this time not so blurred.

I am a member of the European (EMS) and Spanish (RSME) mathematical societies.