Investigación

Mi actividad investigadora comenzó en el campo de la Teoría de Anillos, Teoría de Categorías y Equivalencias de Categorías. Después de eso, mi investigación se ha ido dirigiendo hacia la seguridad y la criptología. Hoy en día se centra en el desarrollo de implementaciones seguras para algoritmos criptográficos. La mayor parte de mi investigación desde 2013 no está publicada, se puede encontrar alguna en patentes pero en su mayoría se encuentra protegida por cláusulas de confidencialidad.

Patents

• Ukil, A.; Jara, A.J.; Marín,L.: Data-driven automated cardiac health management with robust edge analytics and de-risking. Sensors, VOL. 19 (12),1-18 (2019). 3.031

• Marín, L.: White box implementations using non-commutative cryptography. Sensors, VOL. 19,1-31 (2019). 3.031

• Hernández Ramos, J.L.; Jara, A.J.; Marín, L.; Skarmeta, A.F.: DCAPBAC: Embedding authorization logic into smart things through ECC optimizations. International Journal of Computer Mathematics, VOL. 93,345-366 (2016).

• Marin, L.: FAST GENERATION OF DES-LIKE S-BOXES. JOURNAL OF INTERNET TECHNOLOGY 0, VOL. 17, Nº2,301-308 (2016)

• Marin, L.; Pawlowski, M.P.; Jara, A.J.: OPTIMIZED ECC IMPLEMENTATION FOR SECURE COMMUNICATION BETWEEN HETEROGENEOUS IOT DEVICES. SENSORS 2.245, VOL. 15, Nº9,21478-21499 (2015)

• Marin, L; Tolhouizen, L.: AN ALGORITHM TO ANALYZE NON-INJECTIVE S-BOXES. LECTURE NOTES IN COMPUTER SCIENCE 0, VOL. 8407,576-585 (2014)

• Antonio J. Jara, David Fernández, Pablo Lopez, Miguel A. Zamora, Antonio F. Gómez-Skarmeta, Leandro Marin: Evaluation of Bluetooth Low Energy Capabilities for Tele-mobile Monitoring in Home-care. J. UCS 19(9): 1219-1241 (2013)

• Leandro Marin, Antonio J. Jara, Antonio Skarmeta Gomez: Shifting primes: Optimizing elliptic curve cryptography for 16-bit devices without hardware multiplier. Mathematical and Computer Modelling 58(5-6): 1155-1174 (2013)

• Leandro Marin: Differential Elliptic Point Addition in Twisted Edwards Curves. AINA Workshops 2013: 1337-1342

• Leandro Marin, Antonio J. Jara, Antonio F. Gómez-Skarmeta: Shifting Primes on OpenRISC Processors with Hardware Multiplier. ICT-EurAsia 2013: 540-549. 2012

• Leandro Marin, Antonio J. Jara, Antonio F. Gómez-Skarmeta: Shifting Primes: Optimizing Elliptic Curve Cryptography for Smart Things. IMIS 2012: 793-798

• Antonio J. Jara, David Fernández, Pablo Lopez, Miguel A. Zamora, Leandro Marin, Antonio F. Gómez-Skarmeta: YOAPY: A Data Aggregation and Pre-processing Module for Enabling Continuous Healthcare Monitoring in the Internet of Things. IWAAL 2012: 248-255, 2011

• Leandro Marin, Antonio J. Jara, Antonio F. Gómez-Skarmeta: Shifting Primes: Extension of Pseudo-Mersenne Primes to Optimize ECC for MSP430-Based Future Internet of Things Devices. ARES 2011: 205-219

• Antonio J. Jara, Leandro Marin, Antonio F. Gómez-Skarmeta, Dhananjay Singh, Gohel Bakul, Daeyeoul Kim: Secure Mobility Management Scheme for 6LoWPAN ID/Locator Split Architecture. IMIS 2011: 310-315

• Antonio J. Jara, Leandro Marin, Antonio F. Gómez-Skarmeta, Dhananjay Singh, Gohel Bakul, Daeyeoul Kim: Mobility Modeling and Security Validation of a Mobility Management Scheme Based on ECC for IP-based Wireless Sensor Networks (6LoWPAN). IMIS 2011: 491-496

• MONOMORPHISMS AND KERNELS IN THE CATEGORY OF FIRM MODULES. GLASGOW MATHEMATICAL JOURNAL .275 , VOL. 52A ,83-91 (2010)

AUTORES: GONZALEZ FEREZ, J. D. L. C.; MARIN, L.

• QUILLEN'S SMALL OBJECT ARGUMENT IN THE CATEGORY OF FIRM MODULES. JOURNAL OF ALGEBRA .63 , VOL. 319 , Nº 6 ,2518-2532 (2008)

AUTORES: ESTRADA DOMINGUEZ, S.; GONZALEZ FEREZ, J. D. L. C.; MARIN, L.

• THE CATEGORY OF FIRM MODULES FOR NONUNITAL MONOMIAL ALGEBRAS. COMMUNICATIONS IN ALGEBRA .297 , VOL. 36 , Nº 3 ,1078-1087 (2008)

AUTORES: GONZALEZ FEREZ, J. D. L. C.; MARIN, L.

• THE CATEGORY OF FIRM MODULES NEED NOT BE ABELIAN. JOURNAL OF ALGEBRA .63 , VOL. 318 , Nº 1 ,377-392 (2007)

AUTORES: GONZALEZ FEREZ, J. D. L. C.; MARIN, L.

• MORITA THEORY FOR ASSOCIATIVE RINGS. COMMUNICATIONS IN ALGEBRA .297 , VOL. 29 , Nº 12 ,5835-5856 (2001)

AUTORES: GARCIA HERNANDEZ, J. L.; MARIN, L.

• WATTS THEOREMS FOR ASSOCIATIVE RINGS. COMMUNICATIONS IN ALGEBRA .297 , VOL. 29 , Nº 12 ,5799-5834 (2001)

AUTOR: MARIN, L.

• RINGS HAVING A MORITA-LIKE EQUIVALENCE. COMMUNICATIONS IN ALGEBRA .297 , VOL. 27 , Nº 2 ,665-680 (1999)

AUTORES: GARCIA HERNANDEZ, J. L.; MARIN, L.

• CATEGORIES OF MODULES FOR IDEMPOTENT RINGS AND MORITA EQUIVALENCES. PUBLICACIONES DEL DEPARTAMENTO DE MATEMÁTICAS - UNIVERSIDAD DE MURCIA , Nº 23 ,1-78 (1998)

AUTOR: MARIN, L.

• MORITA EQUIVALENCE BASED ON CONTEXTS OF VARIOUS CATEGORIES OF MODULES OVER ASSOCIATIVE RINGS. JOURNAL OF PURE AND APPLIED ALGEBRA .666 , VOL. 133 ,219-232 (1998)

AUTOR: MARIN, L.

• EQUIVALENCIAS DE MORITA PARA ANILLOS ASOCIATIVOS. PUBLICACIONES DEL DEPARTAMENTO DE MATEMÁTICAS - UNIVERSIDAD DE MURCIA , Nº 20 ,1-76 (1997)

AUTOR: MARIN, L.

• AN EXTENSION OF A THEOREM ON ENDOMORPHISM RINGS AND EQUIVALENCES. JOURNAL OF ALGEBRA .63 , VOL. 181 ,962-966 (1996)

AUTORES: GARCIA HERNANDEZ, J. L.; MARIN, L.

• SOME PROPERTIES OF TENSOR-IDEMPOTENT RINGS. 223-236. EN: ALGEBRA AND ITS APPLICATIONS. 2000.

AUTORES: GARCIA HERNANDEZ, J. L.; MARIN, L.

• THE CONSTRUCTION OF A GENERATOR FOR R-DMOD. 287-296. EN: INTERACTIONS BETWEEN RING THEORY AND REPRESENTATIONS OF ALGEBRAS. 2000.

AUTOR: MARIN, L.

• FUTURE INTERNET MODEL AND SERVICES. COREA DEL SUR. 2010.

OPTIMIZING CRYPTOGRAPHY PRIMITIVES (RSA AND ECC) FOR FUTURE INTERNET DEVICES BASED ON 6LOWPAN. AUTORES: MARIN, L.; JARA VALERA, ANTONIO JESUS; Antonio F. Gómez Skarmeta

• JOINT MATHEMATICS MEETING AMS-MAA. SAN FRANCISCO. 2010.

LEAVITT ALGEBRAS AND CATEGORIES OF MODULES FOR NONUNITAL RINGS.. AUTOR: MARIN, L.

• JORNADAS DE ÁLGEBRA EN CEUTA. CEUTA. 2010.

LA ABELIANIDAD DE LA CATEGORÍA DE MÓDULOS UNITARIOS. AUTORES: GONZALEZ FEREZ, J. D. L. C.; MARIN, L.

• SEGUNDAS JORNADAS DE ÁLGEBRA EN CEUTA. CEUTA. 2010.

LOS ANILLOS NO UNITARIOS. PASADO, PRESENTE Y FUTURO. AUTOR: MARIN, L.

• THE 1ST WORKSHOP ON THE SECURITY OF THE INTERNET OF THINGS. TOKYO, JAPAN. 2010.

OPTIMIZATION OF PUBLIC KEY CRYPTOGRAPHY (RSA AND ECC) FOR 8-BITS DEVICES BASED ON 6LOWPAN. AUTORES: AYUSO, J.; MARIN, L.; JARA VALERA, ANTONIO JESUS; Antonio F. Gómez Skarmeta

• RINGS AND MODULES. LISBOA (PORTUGAL). 2008.

AB5 IN THE CATEGORY OF FIRM MODULES. AUTORES: MARIN, L.; GONZALEZ FEREZ, J. D. L. C.

• CATEGORICAL METHODS FOR RINGS AND MODULES. MURCIA. 2007.

NONUNITAL RING HOMOMORPHISMS. AUTOR: MARIN, L.

• INTERNATIONAL CONFERENCE ON MODULES AND COMODULES. OPORTO (PORTUGAL). 2006.

THE CATEGORY OF FIRM MODULES FOR A NONUNITAL MONOMIAL ALGEBRA. AUTORES: MARIN, L.; GONZALEZ FEREZ, J. D. L. C.

• MAP 2006. 2006.

COMPUTING MORPHISMS BETWEEN MODULES OVER NONUNITAL RINGS USING PATTERNS IN GRAPHS. AUTOR: MARIN, L.

• NONCOMMUTATIVE ALGEBRA CONFERENCE. GRANADA (ESPAÑA). 2006.

THE ABELIAN CATEGORIES OF FIRM MODULES ARE GROTHENDIECK. AUTORES: GONZALEZ FEREZ, J. D. L. C.; MARIN, L.

• INTERNATIONAL CONFERENCE ON ALGEBRAS, MODULES AND RINGS. LISBOA (PORTUGAL). 2003.

TOPOLOGIES AND FUNCTORS BETWEEN CATEGORIES OF MODULES FOR NONUNITAL RINGS. AUTOR: MARIN, L.

• PRIMER CONGRESO/FIRST JOIN MEETING RSME-AMS. SEVILLA. 2003.

NONUNITAL RINGS, CATEGORIES AND TOPOLOGY. AUTOR: MARIN, L.

• INTERNATIONAL CONFERENCE ON ALGEBRA AND ITS APPLICATIONS. ATHENS (OHIO-EEUU). 1999.

THE EQUIVALENCE BETWEEN THE CATEGORIES OF FIRM AND CLOSED MODULES FOR A RING WITHOUT IDENTITY. AUTOR: MARIN, L.

• SOME TRENDS IN ALGEBRA'99. PRAGA (REPÚBLICA CHECA). 1999.

WATTS THEOREMS FOR ASSOCIATIVE RINGS. AUTOR: MARIN, L.

• INTERACTIONS BETWEEN RING THEORY AND REPRESENTATIONS OF ALGEBRAS. MURCIA. 1998.

THE CONSTRUCTION OF A GENERATOR FOR R-DMOD. AUTOR: MARIN, L.

• TERCERAS REUNIÓN EN TEORÍA DE ANILLOS. GRANADA. 1998.

FUNTORES ENTRE CATEGORÍAS DE MÓDULOS Y EQUIVALENCIAS. AUTOR: MARIN, L.

• SEGUNDAS JORNADAS ESPAÑOLAS EN TEORIA DE ANILLOS. BARCELONA. 1997.

EQUIVALENCIAS DE MORITA Y CONTEXTOS PARA ANILLOS SIN UNIDAD. AUTOR: MARIN, L.

• SYMPOSIUM ON MODULES OVER NONUNITAL RINGS. COLORADO SPRINGS. 1997.

RINGS FOR WHICH THE CATEGORY OF UNITARY MODULES IS CLASED UNDER SUBMODULES. AUTOR: MARIN, L.

• RING THEORY CONFERENCE. MISKOLC (HUNGRIA). 1996.

CATEGORIES OF MODULES FOR ASSOCIATIVE RINGS. AUTOR: MARIN, L.