Publications

Preprint

1. I. Gutiérrez and I. Molina. On quasi-cyclic subspace codes. Submitted.

2. I. Gutiérrez and K. Davila. A module structure over maximal consistent sets in propositional calculus. Submitted.

Papers

1. I. Gutierrez, Y. Rivera, R. Aguero, and J. Marquez. Middleware for Distributed Fulcrum Coding on the Fly: Leveraging Efficient Communications for 5G-IoT Heterogeneous Mobile Devices. Submitted.

2. I. Gutierrez, A. Torresblanca, E. Bolaño and S. Estala. New classes of non-archimedean operators and their applications. Submitted.

3. I. Gutierrez, and S. Munoz. Minkowski $t$-graph and Kendall $\tau$-graph of the Symmetric Group,  to appear in Advanced in Group Theory and Its Applications.

4. I. Gutierrez, and E. J. Garcia-Claro. On grid codes,  to appear in Designs, Codes, and Cryptography.

5. I. Gutierrez, Y. Rivera, and J. Marquez. Fulcrum Rateless Multicast Distributed Coding Design, in IEEE Access (2023), doi: 10.1109/ACCESS.2023.3271889.

6. I. Gutierrez, G. Diaz-Porto, y A. Torres-Grandisson. The t-graphs over Finitely Generated Groups and the Minkowski Metric. Mathematics 2022, 10, 3030. https://doi.org/10.3390/math10173030

7. I. Gutierrez, A. Torresblanca-Badillo and Victor A. Aguilar-Arteaga. Energy Landscapes and Non-Archimedean Pseudo-Differential Operators as Tools

for Studying the Spreading of Infectious Diseases in a Situation of Extreme Social Isolation. Kragujevac Journal of Mathematics, Volume 48 (6) (2024), Pages 827-844.

8. I. Gutierrez, A. Torresblanca and D. Towers. Classes of algebras and closure operations. Communications in Algebra, 2021. https://doi.org/10.1080/00927872.2021.1877296

9. I. Gutierrez and A. Torresblanca-Badillo. Probability Density Functions and the dynamics of complex systems attached to some classes of non-archimedean pseudo-differential operators. J. Pseudo-Di er. Oper. Appl. (2021). https://doi.org/10.1007/s11868-021-00381-3.

10. I. Gutierrez, Y. Rivera, and J. Marquez. Fulcrum Coding Performance on Fog Computing Architecture. IEEE Latin America Transactions, Vol. 18, Issue 11, pp. 1966-1974, 2020. https://latamt.ieeer9.org/index.php/transactions/article/view/3950

11. I. Gutierrez, A. Torresblanca, L.F. Chacon-Cortes, and Andres Vargas. Finite time blow-up for a p-adic nonlocal semilinear ultradiffusion equation. Journal of Mathematical Analysis and Applications. (2020). https://doi.org/10.1016/j.jmaa.2020.124599.

12. I. Gutierrez and I. Molina, Finding Cliques in projective space: A Method for construction of Cyclic Grassmannian Codes, in IEEE Access. (2020) DOI: 10.1109/ACCESS.2020.2980670.

13. I. Gutierrez and A. Torresblanca-Badillo. Some classes of non-archimedean pseudo-differential operators related to Bessel potentials. J. Pseudo-Differ. Oper. Appl. (2020). https://doi.org/10.1007/s11868-020-00333-3.

14. I. Gutierrez, Y. Rivera and J. Marquez. (2020) R-IoT: An Architecture Based on Recoding RLNC for IoT Wireless Network with Erase Channel. In: Rocha ., Ferrs C., Montenegro Marin C., Medina Garcia V. (eds) Information Technology and Systems. ICITS 2020. Advances in Intelligent Systems and Computing, vol 1137.  Springer, Cham.

15. I. Gutiérrez and A. Torresblanca-Badilllo. Strong Markov processes and negative definite functions associated with non-Archimedean elliptic pseudo-differential operators. J. Pseudo-Differ. Oper. Appl., 2019. https://doi.org/10.1007/s11868-019-00293-3.

16. I. Gutiérrez and I. Molina. Constructions of Cyclic and Quasi-Cyclic Grassmannian Codes. IEEE latin America transactions, Vol. 17, Issue 7, pp. 1180-1190, 2019. doi.10.1109/TLA.2019.8931207.

17. I. Gutiérrez, M. Falco, J. Marquez, and S. Valle . Packet Output and Input Configuration in a Multicasting Session Using Network Coding. KSII Transactions on Internet and Information Systems. Vol. 13, No. 2, Feb. 2019. http://doi.org/10.3837/tiis.2019.02.012

18. I. Gutiérrez, D. Jabba and I. Molina.  A novel maximum distance separable code to generate universal identifiers.  Cryptography and Communications. Vol. 11, No 5, 1021-1035. https://doi.org/10.1007/s12095-018-0346-x, 2018.

19. I. Gutiérrez, J. Marquez and E. Sanchez.  Approach of Multicasting Routing with Solution for Network Coding Applying Edmonds-Karp.  IEEE ICA-ACCA 2018 - XXIII Congress of the Chilean Association of Automatic Control. Concepción Chile, in October 17-19, 2018.

20. I. Gutiérrez and J. Marquez. Coding and Decoding Packet in a Multicast Network: Programming Test. IEEE latin America transactions, Vol. 16, Issue 2, pp. 598-603, 2018.

21. I. Gutiérrez, J. Marquez and J. D. Teheran. Calculating Packets on a Linear Network Coding Model. II Congresso Brasileiro de Jovens Pesquisadores em Matemática e Matemática Aplicada. Campiñas Brasil. 2016.

22. I. Gutiérrez and R. Villanueva. A Java Implementation of Prime and Binary Fields. IEEE latin America transactions, Vol. 13, Issue 9, pp. 3010-3019, 2015.

23. C. Galindo, I. Gutierrez, B. Uribe. Multiplicative Structures on the Twisted K-theory over Finite Groups. Journal of noncommutative Geometry, Volume 9, Issue 3, pp. 877-937, 2015.

24. I. Gutiérrez. A note on strong containment for saturated formations. Communications in Algebra, Volume: 43, Issue 12, pages 5343 - 5346, 2015.

25. I. Gutiérrez and Y. Zuleta. An algorithm to generate binary Gabidulin codes using SAGE. IEEE latin America transactions, Vol. 13, Issue 5, pp. 1469-1477, May 2015.

26. I. Gutiérrez, J. De la Cruz and J. Robinson. Códigos autoduales con un automorfismo de orden primo impar. Revista Colombiana de Matemáticas, Vol 48, No 2, Pages 135 - 163, 2014.

27. I. Gutiérrez and D. Villar. On authomorphisms of extremal type II codes. Revista integración, Universidad Industrial de Santander, Volumen 31, No 2, pp 107 - 120, Diciembre de 2013.

28. I. Gutiérrez and J. De la Cruz. Una generalización de los teoremas de Sylow. Matemáticas: Enseñanza Universitaria. Vol XVII, No 2, 2008.

29. I. Gutiérrez and M. Navarro. Clases de álgebras de Lie y subálgebras de Cartan. Revista Colombiana de Matemáticas, Vol 42, 2008.

30. I. Gutiérrez. On the G-strong containment of saturated formations of finite soluble groups. Journal of Algebra, Vol 299, Pages 115-123, 2006.

31. I. Gutiérrez. Secciones locales continuas en L(H). Ingeniería y Desarrollo, Universidad del Norte, No 15, 2004.

32. I. Gutiérrez y J. Alonso. Sobre clases de grupos finitos solubles. Matemática Enseñanza Universitaria. Vol XII, 2004.

33. I. Gutiérrez. Zur straken Enthaltenseinsrelation für gesättigte Formationen auflösbarer Gruppen. Pre-Print Reihe des Fachbereichs Mathematik an der Johannes Gutenberg Universität-Mainz, 2002.

Books and Monograph

1. I. Gutiérrez, J. Robinson and S. Castañeda. Teoría de grupos. Ediciones Uninorte, ISBN-13: 9789587893472, 2022.

2. I. Gutiérrez and S. Castañeda. Anillos y cuerpos. Ediciones Uninorte, ISBN 978-958-789-098-3, 2019.

3. I. Gutiérrez, A. Barrios and S. Castañeda. Manual de Álgebra lineal. Ediciones Uninorte, ISBN 978-958-741-847-7, 2018.

4. I. Gutierrez and A. Torresblanca. Matemáticas y sus aplicaciones 7 - Capítulo 3. Una variación del contenido fuerte entre formaciones localmente definidas. Benemérita Universidad Autónoma de Puebla. Fernando Macas Romero - Editor,  ISBN 978-607-525-135-6, 2016.  

5. I. Gutiérrez and J. Robinson. Álgebra lineal. Ediciones Uninorte, ISBN 978-958-741-214-7, 2012.

6. I. Gutiérrez and J. Robinson. Matemáticas básicas con Trigonometría. Segunda Edición. Ediciones Uninorte, ISBN 978-958-741-181-2, 2011.

7. I. Gutiérrez. Matemáticas para informática. Ediciones Uninorte, ISBN 978-958-741-075-4, 2010.

8. I. Gutiérrez and W. Willems. Una introducción a la Criptografía de clave pública. Segunda edición. Ediciones Uninorte, ISBN 978-958-741-053-2, 2010.

9. I. Gutiérrez and W. Willems. Una introducción a la Criptografía de clave pública. Ediciones Uninorte, ISBN 978-958-8252-63-6, 2008.

10. I. Gutiérrez and J. Robinson. Matemáticas básicas con Trigonometría. Ediciones Uninorte, ISBN 958-8252-008-8, 2004.