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Research groups
  Algebra and Geometry (GAG)

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General data

Field of study:
Experimental Sciences
Website:
Telephone:
+34 965903400 x 2587

Annual reports

Annual report
  • Cryptography
  • Code theory
  • Group theory
  • Singularity theory

 

 

Services offered

Research in different branches of algebra and geometry.
Cryptography:Post-quantum cryptography, code-based cryptography, variants of the McEliece cryptosystem with convolutional codes and stream ciphers. 
Code theory: study of network coding problems. In particular: subspace codes, including orbital codes; flag codes and convolutional codes.
Group theory: application of finite group theory to other related fields of research, such as the theory of automata and formal languages and the theory of codes.
Singularity theory: Study of topological and geometrical aspects of the singularities of real
real dynamical systems.

 

 

Results

No data.

 

Available relevant infrastructure

No data.

 

RELEVANT CONTRIBUTIONS TO RESEARCH PROJECTS
  • Project title: Contratación Beatriz Galindo 2018
    Competitive: Yes
    European: No
    Public: Yes
    Project sponsors: MINISTERIO DE CIENCIA, INNOVACION Y UNIVERSIDADES
    Starting date: 18/09/2020
    Termination date: 17/09/2024
  • Project title: Proyectos de investigación alineados con determinadas líneas de actuación de 'Comunicación cuántica'.
    Competitive: Yes
    European: No
    Public: Yes
    Project sponsors: GENERALITAT VALENCIANA
    Starting date: 01/10/2022
    Termination date: 30/09/2025
  • Project title: Construcciones algebraicas de códigos de subespacio, de tipo flag, convolucionales y cuánticos
    Competitive: Yes
    European: No
    Public: Yes
    Project sponsors: GENERALITAT VALENCIANA
    Starting date: 01/01/2023
    Termination date: 31/12/2025
  • Project title: Propiedades algebraicas de códigos de subespacio y códigos cuánticos
    Competitive: Yes
    European: No
    Public: Yes
    Project sponsors: MINISTERIO DE CIENCIA, INNOVACION Y UNIVERSIDADES
    Starting date: 01/09/2023
    Termination date: 31/08/2026
  • Project title: Matemáticas en la Sociedad de la Información
    Competitive: Yes
    European: No
    Public: Yes
    Project sponsors: MINISTERIO DE CIENCIA, INNOVACION Y UNIVERSIDADES
    Starting date: 01/06/2023
    Termination date: 31/05/2025
  • Project title: CONSTRUCCIONES Y PROPIEDADES ALGEBRAICAS PARA CÓDIGOS DE RED
    Competitive: Yes
    European: No
    Public: Yes
    Project sponsors: MINISTERIO DE CIENCIA, INNOVACION Y UNIVERSIDADES
    Starting date: 01/06/2020
    Termination date: 31/05/2023
  • Project title: Aplicación de herramientas algebraicas y geométricas al estudio de códigos convolucionales.
    Competitive: Yes
    European: No
    Public: Yes
    Project sponsors: GENERALITAT VALENCIANA
    Starting date: 01/09/2018
    Termination date: 31/08/2021
  • Project title: XXIX ENCUENTRO DE TOPOLOGÍA
    Competitive: Yes
    European: No
    Public: Yes
    Project sponsors: GENERALITAT VALENCIANA
    Starting date: 20/10/2023
    Termination date: 21/10/2023
  • Project title: Ataques por correlación sobre LFSR generalizados basados en códigos...
    Competitive: Yes
    European: No
    Public: Yes
    Project sponsors: GENERALITAT VALENCIANA
    Starting date: 01/06/2013
    Termination date: 31/12/2013
  • Project title: Códigos convolucionales sobre canales de borrado y códigos orbitales para codificación de red.
    Competitive: Yes
    European: No
    Public: Yes
    Project sponsors: GENERALITAT VALENCIANA
    Starting date: 01/12/2017
    Termination date: 30/11/2019

Publications See search box

RELEVANT CONTRIBUTIONS IN JOURNALS
  • Title: A Construction of  F2-linear cyclic, MDS codes.
    Authors: , Cardell, Sara .D.; Climent, Joan-Josep; , Panario, Daniel; , Stevens, Brett
    Journals ADVANCES IN MATHEMATICS OF COMMUNICATIONS
    Volume: 14
    Pages: 437 - 453
    Date: 2020
    ISSN: 1930-5346
    DOI: http://dx.doi.org/10.3934/amc.2020047
  • Title: Locally Repairable Convolutional Codes With Sliding Window Repair
    Authors: , Martínez-Peñas, U.; Napp, D
    Journals IEEE Transactions on Information Theory
    Volume: 66
    Pages: 4935 - 4947
    Date: 2020
    ISSN: 0018-9448
    DOI: http://dx.doi.org/10.1109/TIT.2020.2977638
  • Title: Representations of Generalized Self-Shrunken Sequences
    Authors: , Cardell, Sara .D.; Climent, Joan-Josep; , Fúster-Sabater, Amparo; Requena, Verónica
    Journals Mathematics
    Volume: 8
    Pages: 1006 -
    Date: 2020
    ISSN: 2227-7390
    DOI: http://dx.doi.org/10.3390/math8061006
  • Title: Flag Codes from Planar Spreads in Network Coding
    Authors: Alonso-González, C.; Navarro-Pérez, M. A.; Soler-Escrivà, Xaro
    Journals Finite Fields and their Applications
    Volume: 68
    Pages: -
    Date: 2020
    ISSN: 1071-5797
    DOI: https://doi.org/10.1016/j.ffa.2020.101745
  • Title: A new rank metric for convolutional codes
    Authors: , Almeida, P.; Napp, D
    Journals Designs, Codes, and Cryptography
    Volume:
    Pages: 1 - 21
    Date: 2020
    ISSN: 0925-1022
    DOI: https://doi.org/10.1007/s10623-020-00808-w
  • Title: Weight-2 input sequences of 1/n1/n convolutional codes from linear systems point of view
    Authors: , María Victoria Herranz Cuadrado; Napp, D; , Carmen Perea
    Journals AIMS Mathematics
    Volume: 8
    Pages: 713 - 732
    Date:
    ISSN:
    DOI: http://dx.doi.org/10.3934/math.2023034
  • Title: Equivalence for flag codes
    Authors: Navarro-Pérez, Miguel Ángel; Soler-Escrivà, Xaro
    Journals Linear Algebra and Its Applications
    Volume: 690
    Pages: 1 - 26
    Date: 2024
    ISSN: 0024-3795
  • Title: Noncatastrophic convolutional codes over a finite ring
    Authors: Napp, D; Pinto, Raquel; Rocha, Conceiçao
    Journals JOURNAL OF ALGEBRA AND ITS APPLICATIONS
    Volume:
    Pages: 1 - 21
    Date: 2023
    ISSN: 0219-4988
    DOI: https://doi.org/10.1142/S0219498823500299
  • Title: Smaller Keys for the McEliece Cryptosystem: A convolutional variant with GRS codes
    Authors: Napp, D; Almeida, Paulo; Beltrá, Miguel; Napp, Diego; Sebastiao, Cláudia
    Journals IEEE Trans. Information Theory
    Volume:
    Pages: -
    Date: 2023
    ISSN:
  • Title: Stratification of three dimensional real flows I: Fitting domains
    Authors: Alonso-González, C.; SANZ SÁNCHEZ, FERNANDO
    Journals Journal of Differential Equations
    Volume:
    Pages: -
    Date: 2023
    ISSN: 0022-0396
RELEVANT PUBLISHED BOOKS
  • Title: Propiedades espectrales de matrices. El índice de matrices triangulares por bloques. La raíz Perron de matrices cocíclicas no negativas.
    Authors: Climent, Joan-Josep
    Editorial: Servicio de Publicaciones de la Universidad de Alicante
    Date: 1994
    ISBN: 84-7908-166-X
  • Title: Límites de espacios tangentes en superficies
    Authors: Alonso-González, C.; , Alonso-González, Clementa; , Corral, Nuria; , Dung Tran, Lê
    Editorial: Universidad de Valladolid. Instituto de Estudios de Iberoamérica y Portugal
    Date: 2002
    ISBN: 84-932818-6-7
  • Title: Álgebra Lineal (Segunda Edición)
    Authors: Climent, Joan-Josep; , Bru, R.; , Climent, J.J.; , Mas, J.; , Urbano, A.
    Editorial: Alfaomega Grupo Editor, S
    Date: 2004
    ISBN: 970-15-0990-0
  • Title: Easy, Enjoyable, Effective E-Learning
    Authors: Climent, Joan-Josep; , Al-Bahadly, I.; Requena, Verónica; , Chen, Q.L.; Tomás, Virtudes; , Climent, J.J.; , Costa, S.; , Eboueya, M.; , Igreja, J. M.; , Montanaro, A.; , Pasternak, N.E.; , Patrick, J.; , Domínguez, J.A.; , Requena, V.; , Senivongse, T.; , Shimomura, T.; , Tomá, V.
    Editorial: Nova Publishers
    Date: 2008
    ISBN: 1-60456-634-5
  • Title: Criptografia e segurança
    Authors: Napp, D; Almeida, Paulo
    Editorial: Publindustria
    Date: 2017
    ISBN:
  • Title: Sobre algunas construcciones de funciones bent
    Authors: Requena, Verónica; , Requena
    Editorial: UNIVERSIDAD DE ALICANTE
    Date: 2010
    ISBN: 978-84-694-1586-3
  • Title: Àlgebra Lineal Bàsica(Quaderns de la Col·lecció Joan Fuster. Secretariat de Promoció del Valencià. Universitat d'Alacant)
    Authors: Climent, Joan-Josep; Requena, Verónica
    Editorial: Secretariat de Promoció del Valencià - Universitat d'Alacant
    Date: 2006
    ISBN:
  • Title: Problemas de Matemáticas asistidos con DERIVE 5: Álgebra Lineal
    Authors: , Alejandre, M. J.; Soler-Escrivà, Xaro; , Toledo, F.J.
    Editorial: Servicio de Publicaciones de la Universidad Miguel Hernández
    Date: 2002
    ISBN: 84-95893-42-8
  • Title: Problemas de Matemáticas Asistidos con DERIVE 5: Análisis Matemático
    Authors: , Alejandre, M. J.; Soler-Escrivà, Xaro; , Toledo, F.J.
    Editorial: Servicio de Publicaciones de la Universidad Miguel Hernández
    Date: 2002
    ISBN: 84-95893-39-8
  • Title: Álgebra Lineal.
    Authors: , Bru, R.; Climent, Joan-Josep; , Climent, J.J.; , Mas, J.; , Urabano, A.
    Editorial: Alfaomega Grupo Editor, S
    Date: 2001
    ISBN: 958-682-290-7
RELEVANT PUBLISHED BOOK CHAPTERS
  • Book chapter title: Advances in Intelligent Systems and Computing
    Authors: Napp, D; Climent, Joan-Josep; Requena, Verónica
    Editorial: Springer
    Pages: 185 - 194
    Date:
    ISBN:
    Book title: A Novel Construction for Streaming Networks with Delays
  • Book chapter title: Applied and Computational Matrix Analysis
    Authors: Napp, D; El Oued, Mohammed; Pinto, Raquel; Toste, Marisa
    Editorial: Springer Verlag
    Pages: 79 - 91
    Date:
    ISBN:
    Book title: The Dual of Convolutional Codes Over Zpr
  • Book chapter title: Coding Theory and applications
    Authors: Napp, D; Almeida, Paulo; Pinto, Raquel
    Editorial: Springer (CIM Series in Mathematical Sciences)
    Pages: 25 - 34
    Date:
    ISBN:
    Book title: From 1D Convolutional Codes to 2D Convolutional Codes of Rate 1/n
  • Book chapter title: IEEE International Symposium on Information Theory (ISIT)
    Authors: Napp, D; Cardell, Sara; Firer, Marcelo
    Editorial: IEEE
    Pages: 16 - 20
    Date:
    ISBN:
    Book title: Generalized column distances for convolutional codes
  • Book chapter title: IEEE International Symposium on Information Theory (ISIT)
    Authors: Napp, D; Pinto, Raquel; Vettori, Paolo; Rosenthal, J.
    Editorial: IEEE
    Pages: 2771 - 2775
    Date:
    ISBN:
    Book title: MRD rank metric convolutional code
  • Book chapter title: International conference on Applied Mathematics and Informatics
    Authors: Napp, D
    Editorial: ISBN: 978-958-765-561-2
    Pages: 41 - 41
    Date:
    ISBN:
    Book title: Codes for streaming applications
  • Book chapter title: Lecture Notes in Control and Information Sciences.
    Authors: Napp, D; Rocha, Paula
    Editorial: Springer
    Pages: 369 - 379
    Date:
    ISBN:
    Book title: Implementation of 2D strongly autonomous behaviors by full and partial interconnections
  • Book chapter title: Mathematical Control Theory II.
    Authors: Napp, D; Rocha, Paula
    Editorial: Springer (Lecture Notes in Control and Information Sciences)
    Pages: 151 - 168
    Date:
    ISBN:
    Book title: Implementation of Behavioral Systems
  • Book chapter title: Multi-shot Network Coding
    Authors: Napp, D; Santana, Filipa
    Editorial: Springer
    Pages: 91 - 104
    Date:
    ISBN:
    Book title: Network Coding and Subspace Designs
  • Book chapter title: Multi-shot Network Coding
    Authors: Napp, D; Santana, Filipa
    Editorial: Springer
    Pages: 91 - 104
    Date:
    ISBN:
    Book title: Network Coding and Subspace Designs
RELEVANT CONFERENCE PAPERS
  • Title: How to obtain a minimal input-state-output representation of a convolutional code
    Authors: Climent, Joan-Josep; Napp, D; Requena, Verónica
    Type of participation: Comunicación
    Conference name: SIAM Conference on Applied Algebraic Geometry (AG23)
    Event type: Internacional
    City of performance:
    Date of performance: 10/07/2023
  • Title: Convolutional Codes: From First-Order to Minimal ISO Representations
    Authors: Requena, Verónica; Climent, Joan-Josep; Napp, D; SOLER ESCRIVA, XARO
    Type of participation: Ponencia
    Conference name: 23th International Conference Computational and Mathematical Methods in Science and Engineering
    Event type: Internacional
    City of performance: Rota (CÁDIZ) (ESPAÑA)
    Date of performance: 03/07/2023
  • Title: Motzkin numbers and flag codes
    Authors: Alonso-González, C.; Navarro-Pérez, Miguel Ángel
    Type of participation: Comunicación
    Conference name: Rijeka Conference on Combinatorial Objects and Their Applications
    Event type: Internacional
    City of performance: Rijeka (CROACIA)
    Date of performance: 03/07/2023
  • Title: Quantum Linear Codes Based On Systematic Generator Matrices
    Authors: Soler-Escrivà, Xaro; Climent, Joan-Josep; Requena, Verónica
    Type of participation: Ponencia
    Conference name: 23th International Conference Computational and Mathematical Methods in Science and Engineering
    Event type: Internacional
    City of performance: Rota (CÁDIZ) (ESPAÑA)
    Date of performance: 03/07/2023
  • Title: A new invariant for cyclic orbit flag codes
    Authors: Alonso-González, C.; Navarro-Pérez, Migel Ángel
    Type of participation: Comunicación
    Conference name: International Conference on Finite Fields and Their Applications 2023 (Fq15)
    Event type: Internacional
    City of performance: París (FRANCIA)
    Date of performance: 19/06/2023
  • Title: Minimal Input-State-Output Representation of Product Convolutional Codes
    Authors: Requena, Verónica; Climent, Joan-Josep; Napp, D
    Type of participation: Ponencia
    Conference name: ILAS 2023 (25th Conference of the International Linear Algebra Society)
    Event type: Internacional
    City of performance: Madrid (MADRID) (ESPAÑA)
    Date of performance: 12/06/2023
  • Title: Spread Code Constructions from Abelian non-cyclic groups
    Authors: Requena, Verónica; Climent, Joan-Josep; Soler-Escrivà, Xaro
    Type of participation: Ponencia
    Conference name: ILAS 2023 (25th Conference of the International Linear Algebra Society)
    Event type: Internacional
    City of performance: Madrid (MADRID) (ESPAÑA)
    Date of performance: 12/06/2023
  • Title: PN-secuencias entrelazadas de polinomios diferentes
    Authors: Requena, Verónica; Diaz-Cardell, S. ; Fúster Sabater, Amparo
    Type of participation: Ponencia
    Conference name: XVII Reunión Española sobre Criptología y Seguridad de la Información
    Event type: Nacional
    City of performance: Santander (CANTABRIA) (ESPAÑA)
    Date of performance: 19/10/2022
    RUA: DOI: https://doi.org/10.22429/Euc2022.028
  • Title: SMALL KEYS FOR POST-QUANTUM CRYPTOGRAPHY USING CONVOLUTIONAL CODES
    Authors: Napp, D; Almeida, Paulo; Beltrá, Miguel; Nap, Diego
    Type of participation: Valor por defecto importacion fuente externa.
    Conference name: 8th Iberian Mathematical Meeting
    Event type: Valor por defecto importación fuente externa.
    City of performance: (ESPAÑA)
    Date of performance: 05/10/2022
  • Title: Combinatorial Tools for the Study of Flag Codes
    Authors: Alonso-González, C.; Navarro-Pérez, M. A.
    Type of participation: Ponencia invitada
    Conference name: 25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022)
    Event type: Internacional
    City of performance: Bayreuth (Alemania) (ALEMANIA)
    Date of performance: 12/09/2022