Personal Homepage for Diego Ruano

Diego Ruano
PhD, Assistant Professor (DK: Adjunkt)
Department of Mathematical Sciences
Aalborg University

Office
Room: G2-110, Fredrik Bajersvej 7G
Phone: +45 9940 8876
Mobile: +45 4297 9619
Fax: +45 9815 8129
Email: diego((at))math.aau.dk (I cannot read emails from my former account at mat.dtu.dk)
Skype: diegoruano

Mail address
Diego Ruano
Department of Mathematical Sciences
Aalborg University
Fredrik Bajersvej 7G
DK-9220 Aalborg Øst
Denmark

Undervisning/Teaching AaU

Foråret 2012

  • Projektvejleder (og semesterkoordinator) for Mat og MatØk, 2. semester [Hjemmeside]
  • Algebra 2 på Mat 4. Semester [Hjemmeside]. Andendelen foreståes af Olav Geil
  • Studiekreds for Stefano Martin.
  • PhD bivejleder for Stefano Martin. Emne: Algebraisk Kodningsteori.

    • Efteråret 2011

  • Algebra 1 på Mat 3. Semester [Hjemmeside]
  • Projektvejledning i algebraisk netværkskodning på Mat6
  • Projektvejledning i den Naturvidenskabelige basis gruppe [Hjemmeside]
  • Matematiklærerdag [Hjemmeside]

    • Foråret 2011

  • Kodningsteoridelen af kurset Informations og kodningsteori på Mat2 [Hjemmeside]. Informationsteoridelen foreståes af Olav Geil
  • Algebra 1, EVU (efteruddannelsesprogrammet) [Hjemmeside]. Førstedelen foreståes af Lisbeth Fajstrup

    • Efteråret 2010

  • Algebra og fordybelsesprojekt på Mat1 [Hjemmeside]

    • Foråret 2010

  • Projektvejleder i den Naturvidenskabelige basis gruppe
  • Projektvejledning i kodningsteori på Mat6

    • Efteråret 2009

  • Mathematics for Computer Graphics [Hjemmeside]
  • Projektvejledning i kodningsteori på Mat5
  • Projektvejledning i kodningsteori på Mat6

    • Publications

    Books:

  • 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). [Table of contents]
  • 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).

    • Papers in journals:

  • F. Hernando, T. Høholdt, D. Ruano: List decoding of matrix-product codes from nested codes: an application to quasi-cyclic codes. Accepted for publication in Advances in Mathematics of Communications (2012)
  • P. Beelen, D. Ruano: Bounding the number of points on a curve using a generalization of Weierstrass semigroups. Accepted for publication in Designs, Codes and Cryptography (2012)
  • O. Geil, C. Munuera, D. Ruano, F. Torres: On the order bound for one-point AG codes. Advances in Mathematics of Communications (AMC), Volume 5, Issue 3, pages 489-504 (2011).
  • 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).
  • 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).
  • D. Ruano: On the structure of generalized toric codes. Journal of Symbolic Computation, Volume 44, Issue 5, Pages 499-506 (2009).
  • D. Ruano: On the parameters of r-dimensional toric codes. Finite Fields and their Applications, Volume 13, Issue 4, Pages 962-976 (2007).
  • 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).

    • Papers in books:

  • 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).
  • 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).
  • 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).
  • 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).

    • Preprints:

  • O. Geil, R. Matsumoto, D. Ruano: List decoding algorithm based on voting in Gröbner bases for general one-point AG codes.
  • O. Geil, R. Matsumoto, D. Ruano: Generalization of the Lee-O'Sullivan list decoding for one-point AG codes.
  • F. Hernando, M. O'Sullivan, D. Ruano: List decoding of repeated codes.
  • F. Hernando, D. Ruano: Decoding of matrix-product codes.
  • D. Ruano: Metric structure of linear codes.

    • Miscellaneous:

  • O. Geil, R. Matsumoto, D. Ruano: List decoding algorithms based on Gröbner bases for general one-point AG codes. Accepted for presentation and publication in the proceedings of 2012 IEEE International Symposium on Information Theory (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 was born in Valladolid (Castile, Spain). I studied mathematics at the Universities of Valladolid and Kaiserslautern. In February 2007, I obtained a PhD degree in mathematics at the University of Valladolid. In 2007, I was a postdoc for one year at the University of Kaiserslautern and then had a H.C. Ørsted postdoc position at the Technical University of Denmark. Currently I am assistant professor at the Department of Mathematical Sciences of Aalborg University.

    Here (and also here) you can see a picture of myself 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 research group Mathematics for communication of AaU, the Danish-Chinese Center for Applications of Algebraic Geometry in Coding Theory and Cryptography (AGINCC) and the Singacom group.