Diego Ruano

Associate Professor

Department of Mathematical Sciences

Aalborg University

Coding Theory, Cryptography, Computer Algebra, Algebraic Geometry.

Contact | Teaching | Networks | Professional Service | Publications | Bio |

**Contact Information**

Office location: G3-105, Fredrik Bajers Vej 7G

Phone: +45 9940 8876

Fax: +45 9940 3548

Email: diego((at))math.aau.dk

Skype: diegoruano

**Mailing Address**

Department of Mathematical Sciences

Aalborg University

Fredrik Bajers Vej 7G

9220-Aalborg Øst

Denmark

**Social networks**

ResearchGate, Linkedin

**Undervisning/Teaching AaU, Foråret/Spring 2017**

- Discrete Mathematics. BSc in IT, Communication & New Media, 2nd Semester [Hjemmeside]
- Calculus. Hold 2, 2nd Semester [Hjemmeside]
- PhD vejleder for René B. Christensen. Emne: Algebraisk Kodningsteori.
- PhD bivejleder for Umberto Martínez-Peñas og Jaron Skovsted Gundersen. Emne: Algebraisk Kodningsteori.

Tidligere semestre/Previous terms

Supervised theses and theses committee

Teaching Portfolio, written according to the guidelines of AAU (see also here).

**Networks**

- Research group Reliable and Secure Communication at Aalborg University, researcher of the project "How secret is a secret?"
- Network Coding Focus Group at Aalborg University.
- Danish-Chinese Center for Applications of Algebraic Geometry in Coding Theory and Cryptography (AGINCC).
- Research group SINGACOM at the University of Valladolid.
- COST Action IC1104-Random Network Coding and Designs over GF(q) (MC substitute).

**Professional Service**

- Area editor, JACODESMATH-Journal of Algebra Combinatorics Discrete Structures and Applications. Flyer: [Call for papers]
- Reviewer, Zentralblatt MATH.
- Co-organizer, CACT, special session at ACA 2008, RISC, Austria.
- Co-organizer, II Singacom Thematic Seminar, Segovia 2007.
- Co-organizer, YMIS 05, YMIS 06, YMIS 07, YMIS 08, Sedano, Spain.
- Local comittee, 4th AGINCC workshop, Skagen, Denmark 2013.
- Local comittee, S3CM 08, S3CM 09, S3CM 10, Soria, Spain.

**Publications**

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

Papers submitted for publication:- O. Geil, F. Özbudak, D. Ruano: Constructing sequences with high nonlinear complexity from Hermitian function fields, 10 pages.
- C. Galindo, O. Geil, F. Hernando, D. Ruano: Improved constructions of nested code pairs. [preprint]
- D.E. Lucani, M.V. Pedersen, D. Ruano, C.W. Sørensen, F.H.P. Fitzek, J. Heide, O. Geil: Fulcrum Network Codes: A Code for Fluid Allocation of Complexity. [preprint]
- O. Geil, S. Martin, U. Martínez-Peñas, R. Matsumoto, D. Ruano: On asymptotically good ramp secret sharing schemes. [preprint]

- C. Galindo, O. Geil, F. Hernando, D. Ruano: On the distance of stabilizer quantum codes from J-affine variety codes. Quantum Information Processing, Volumen 16, Issue 4, 16:111 (2017). [preprint] [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) [postprint] [paper]
- 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). [postprint] [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). [postprint] [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). [postprint] [paper]
- 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, vol.60, no. 10, pages 5938-5949 (2014). [postprint] [paper]
- I. Márquez-Corbella, E. Martínez-Moro, G.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). [postprint] [paper]
- O. Geil, R. Matsumoto, D. Ruano: Feng-Rao decoding of primary codes. Finite Fields and their Applications, Volume 23, pages 35–52 (2013). [postprint] [paper]
- 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). [postprint] [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). [postprint] [paper]
- 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). [postprint] [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). [postprint] [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 (AMC), 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 (AMC), 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 (AMC), 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]
- 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]
- D. Ruano: Computing the Feng-Rao distances for codes from order domains. Journal of Algebra (Computational algebra section), Volume 309, Issue 2, pages 672-682 (2007). [postprint] [paper]

- R. Matsumoto, D. Ruano: Geometric and Computational Approach to Classical and Quantum Secret Sharing. Accepted for publication in ACA 2015-Springer Proceedings in Mathematics & Statistics (2016).
- 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]

- 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]

- 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).
- D. Ruano: Metric structure of linear codes, manuscript.
- 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).

Co-authors:

Peter Beelen, Stanislav Bulygin, Carlos Galindo, Olav Geil, Fernando Hernando, Tom Høholdt, Kristine Lally, Yuan Luo, Irene Márquez-Corbella, Stefano Martin, Umberto Martínez-Peñas, Edgar Martínez-Moro, Ryutaroh Matsumoto, Iván Merillas-Santos, Carlos Munuera, Ferruh Özbudak, Michael E. O'Sullivan, Ruud Pellikaan, Fernando Torres.

Diego was born in Valladolid (Castile, Spain). He 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 for one year at the University of Kaiserslautern and then was a H.C. Ørsted postdoc fellow at the Technical University of Denmark. Diego has been an assistant professor and, currently, he is an associate professor at the Department of Mathematical Sciences at Aalborg University.

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, at my favourite place.

Diego is a member of the Danish (DMF), European (EMS) and Spanish (RSME) mathematical societies. Diego is a member of the Society of Spanish Scientists in Denmark-CED