1.      Books / Book chapter´s: 

1.    (with Spyros Magliveras and Rainer Steinwandt) Group Theoretic Cryptography, Editorial Chapman & Hall/CRC Press, out in 2010.

2.    (with  T. Beth, S. González, C. Martínez  and R. Steinwandt) Cryptographic Shelter for the Information Society: Modelling and Fighting Novel Attacks on Cryptographic Primitives.  Capítulo del libro: Techno-Legal Aspects of Information Society and New Economy: an Overview. Ed. Formatex. Vol. 1,  'Information Society' Series, ISBN: 84-607-8104-6, pp. 163—170, 2003. 

3.    Criptosistemas Basados en Teoría de Grupos. Phd. Thesis. Servicio de Publicaciones de la Universidad de Oviedo, ISBN: 84-8317-373-5,    pp.1—136, 2003    (available at http://www.criptored.upm.es/paginas/investigacion.htm )

 

 

2.  Journal articles:  

1.      (with  J. Villar) In search of mathematical primitives for deriving universal projective hash families.  Applicable Algebra in Engineering, communication and Computing, Vol. 19 (2),  pp. 161—173, 2008.

2.      (with J.M. Bohli and  R. Steinwandt)  Secure Group Key Establishment Revisited. International Journal of Information Security, Vol 6 (4), pp. 243--254, 2007.

3.      (with R. Steinwandt) On ideal and subalgebra coefficients in a class of k-algebras,  Note di Matematica, Vol 27 (1), pp. 77--83, 2007. 

4.      (with D. Pérez)  Attacking a Public Key Cryptosystem Based on Tree Replacement,  Discrete Applied Mathematics, 155, pp 61-67, 2007.

5.      (with R. Criado, J. Flores and J. Pello) Locating a leader node on a complex network: a trade-off between robustness and efficiency,  Journal of Computational and Applied Mathematics, 204, pp 10—17, 2007.

6.      (with R. Steinwandt, and Jorge L. Villar) Towards Provable Security for Cryptographic Constructions Arising from Combinatorial Group Theory,  Algebraic methods in cryptography, L. Gerritzen, D. Goldfeld, M. Kreuzer, G. Rosenberger, and V. Shpilrain, eds., Contemporary Mathematics, vol. 418 , pp. 89 – 101, American Mathematical Society, 2006.

7.      (with W. Geiselmann and R. Steinwandt) Entwurf asymmetrischer Kryptographischer Verfahren unter Berücksichtigung von Quantenalgorithmen, IT- Information Technology, special issue "Cryptography and Quantum Informatics-- dedicated to Thomas Beth,  Vol 48, (6) pp 327—331, 2006.

8.      (with  R. Steinwandt)  Pitfalls in public key cryptosystems based on free partially commutative monoids and groups,  Applied Mathematics Letters, vol. 19, no. 10, pp. 1037-1041, 2006.

9.       (with R. Steinwandt) Chosen ciphertext attacks as common vulnerability of some group- and polynomial-based encryption schemes, Tatra Mountains Mathematical Publications, Vol 33, 149—158, 2006.

10.    (with J-M. Bohli, C. Martínez, and R. Steinwandt)  Weak Keys in MST1 , Designs, Codes and Cryptography, vol. 37, no. 3, pp. 509-524, 2005.

11.   (with D. Hoffheinz, C. Martínez y R. Steinwandt) On the Security of Two Public Key Cryptosystems using non-abelian groups. Designs, Codes and Cryptography, vol. 32, pp. 207-216 (Special Issue: Proceedings of the Third Pythagorean Conference), 2004.

12.  (with C. Martínez, R. Steinwandt)  Towards a Uniform Description of Several Group Based Cryptographic Primitives,  Designs, Codes and  Cryptography Kluwer, 33, 215—226, 2004.

13.  (with  R. Steinwandt ) A Reaction Attack on a Public Key Cryptosystem Based on the Word Problem.  Applicable Algebra in Engineering, Communication and Computing, 14(5): 335-340, 2004.

14.  (with  M. Rötteler and R. Steinwandt) On Minimal Length Factorizations of Finite Groups. Experimental Mathematics ,Vol 12, Num 1. 1---12, 2003. 

15.  (with R. Steinwandt)   Obstacles in two public key cryptosystems based on group factorizations.  Cryptology , Vol 25, 23--37, Tatra Mt. Mathemathical Publications, 2002.

16.  (with R. Steinwandt)  Clouds over a public key cryptosystem based on Lyndon words.  Information Processing Letters, Vol.80, 239--242, Elsevier Science, 2001.

17.  (with Igor E. Shparlinski)  Security of the Most Significant Bits of the Shamir Message Passing Scheme. Mathematics of Computation, Vol 71, Num. 237, 333--342, AMS, 2001.

  

     3.  Articles in refereed Proceedings Volumes (only international):

 

1.    (with Michel Abdalla, Jens-Matthias Bohli y Rainer Steinwandt) (Password)-Authenticated Key Establishment: from 2-Party to Group,  Proceedings of  3rd Theory of Cryptography Conference TCC 2007, Lecture Notes in Computer Science,  4392, Springer Verlag, pp. 499—514, 2007.

2.    (with Jens-Matthias Bohli and Rainer Steinwandt) A Subliminal-Free Variant of ECDSA, Proceedings of 6th Information Hiding, Lecture Notes in Computer Science, vol. 4437, pp. 375-387, Springer Verlag, 2007.

3.    (with  C. Martínez, R. Steinwandt, and J. Villar) A new Cramer-Shoup like methodology for group based provably secure encryption schemes,  Proceedings of 2nd Theory of Cryptography Conference TCC 2005, Lecture Notes in Computer Science, vol. 3378, pp. 495 - 509,  Springer Verlag, 2005.

4.    (with Mats Näsnuld and Igor E. Shparlinski)    New results on the Hardness of Diffie-Hellman Bits . Proceedings of PKC 2004, Vol 2947 of  Lecture Notes in Computer Science. ISBN:3-540-21018-0,  pp. 159 - 172, Springer Verlag, 2004. 

5.      (with Mats Näsnuld and Igor E. Shparlinski)  The Hidden Number Problem in Extension Fields in Its Applications.  Proceedings of LATIN 2002, Vol  2286 of Lecture Notes in Computer Science. ISBN: 3-540-43400-3, 105-117, Springer Verlag, 2002.

6.      (with Igor E. Shparlinski)  On the Security of Diffie-Hellman Bits.  Cryptography and Computational Number Theory (Proceedings of CCNT’99), de la serie: Progress in Computer Science and Applied Logic. ISBN: 3-7643-6510-2 , Vol. 20, 258--268, Birkhäuser Verlag, 2001.

7.    (with   Mats Näslund)  A survey of Hard Core Functions.  Cryptography and Computational Number Theory, de la serie: Progress in Computer Science and Applied Logic. ISBN: 3-7643-6510-2,  Vol. 20, 227--255, Birkhäuser Verlag, 2001.  

 

 

   4. Miscellaneous (Proceedings of National Conferences, Technical Reports…)  

1.      (with A. Pérez del Pozo) Related message attacks: a formal treatment. X  Reunión Española sobre Criptología y Seguridad de la Información, pp.111-118,  ISBN: 978-84-691-5158-7.  Ed. Signe. , 2008.

2.      (with Pedro Taborda) New steps towards secure word-problems based encryption schemes: analysis of a recent proposal,   IX Reunión Española sobre Criptología y Seguridad de la Información, Barcelona, 2006.

3.      (with C. Martínez and S. González) Esquemas de cifrado basados en grupos: pasado y futuro. Primer Congreso Conjunto de Matemáticas RSME-SCM-SEIO-SEMA. MAT.ES . Sesión especial: Tendencias actuales en criptología.  Valencia, 2005

4.      (with R. Criado, J. Flores, J. Pello) Locating a leader  node on a complex network: a trade-off between robustness and efficiency. In Proceedings of the Internacional Conference on Computational and Mathematical Methods in Science and Engineering CMMSE-2005, Alicante, Spain,2005.

5.      On the security of a group based public key cryptosystem, In Proceedings of the Workshop on Mathematicals Problems and Techniques in Cryptology, Bellatera, Spain, 2005.

6.      (with C. Martínez, R. Steinwandt and J. Villar)  On Provably Secure Encryption Schemes Based on Non-Abelian Groups. Actas de la VIII Reunión Española sobre Criptología y Seguridad de la Información, pp.101--112, Díaz de Santos, 2004.

7.      (with D. Pérez and R. Steinwandt)  On the Security of Certain Public Key Cryptosystems Based on Rewritting Problems.  Actas de la VIII Reunión Española sobre Criptología y Seguridad de la Información, pp.175--184, Díaz de Santos, 2004.

8.      (with R. Steinwandt) On ideal and subalgebra coefficients in a class of k-algebras.  Abstract in Proceedings of the First Joint Meeting RSME-AMS, Sevilla, 2003.

9.      (with  M. Rötteler, and  R. Steinwandt)  On Minimal Length Factorizations of Finite Groups.  Technical Report CORR 2003-05, Department of Combinatorics and Optimization, University of Waterloo, 2003.

10.   (with  C. Martínez and R. Steinwandt) Un Marco Común para Varios Esquemas de Clave Pública Basados en Grupos. Actas de la VII Reunión Española sobre Criptología y Seguridad de la Información. ISBN: 84-699-8930-8, pp. 351--362, Servicio de Publicaciones de la Universidad de Oviedo, 2002.

  

   5. Preprints.  

1.      (with A.L. Pérez del Pozo y P. Taborda Duarte)  A note on the security of MST3, Disponible en el servidor de preprints de la IACR (International Associations for Cryptologic Research) 2009/096, 2009.

2.      (with A.L. Pérez del Pozo) Related Message Attacks to Public Key Encryption Schemes: Relations among Security Notions, 2009/205, Disponible en el servidor de preprints de la IACR (International Associations for Cryptologic Research)  2009.

3.      (with  R. Steinwandt) Combined (identity-based) public key schemes,  Disponible en el servidor de preprints de la IACR (International Associations for Cryptologic Research)  2008/466, 2008.

4.      (with J.M. Bohli, R. Steinwandt) Building Group Key Establishment on Group Theory: A Modular approach, preprint.

5.      (with J.M. Bohli, R. Steinwandt) Pasword-Authenticated Constant-Round  Group Key Establishment with a Common Reference String, 2006/214, 2006. 

6.      (with J. M. Bohli, R. Steinwandt) Burmester-Desmedt Tree-Based Key Transport Revisitied: Provable Security without Broadcast, 2005/360, 2005.

7.      (with J. L. Villar)  In search of mathematical primitives for deriving universal projective hash families,  available as CRM preprint, July 2005, PDF.

 

         6. Divulgative.

 

1.      Regular contributor to the magazine  “Azul Eléctrico”. Published papers (in Spanish):

·         Tras la huella de Pi; círculos, trascendencia y elefantes, num 4, 2006.

·         Resolviendo Problemas en los 90: el último Teorema de Fermat, num 6, 2007.  

·         Gregory Perelman y la ética científica,  num 7, 2008.

·         El diablo en el espejo, num 8, 2008.

·         La olvidada ciencia del glamour, num 9, 2009.

2.  Matemáticas y Secretos: Fundamentos Matemáticos de la Nueva Criptología. Weblog Madrid I+D, Febrero 2007.

 

 

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