Instituto de Investigación
en Matemáticas

Codificacion de la Informacion y Criptografia

(CIC)


Objetivos: El grupo pretende continuar articulando la investigacion que desarrolla desde hace años en el campo de la Codificación y la seguridad de la Información, en particular con los objetivos siguientes: a) Investigación pura y aplicada en las líneas señaladas b) Colaboracion con empresas e instituciones interesadas en los resultados obtenidos c) Participacion en programas de doctorado y otros cursos de formacion.
Líneas de investigación: Códigos Correctores de errores. Matemática discreta. Criptografía y protocolos criptográficos. Tarjetas inteligentes.
Publicaciones:
On the bit oriented trellis structure of run length limited codes on discrete local data dependent channels Discrete Math. 241 51--63 (2001) Barbero, Ángela I. and Ytrehus, {O}yvind
Cycle-logical treatment for ``cyclopathic'' networks IEEE Trans. Inform. Theory 52 2795--2804 (2006) Barbero, Ángela I. and Ytrehus, {O}yvind
Coding for inductively coupled channels IEEE Trans. Inform. Theory 58 5418--5436 (2012) Rosnes, Eirik and Barbero, Ángela I. and Ytrehus, {O}yvind
Introduction to network coding for acyclic and cyclic networks 0 (0)
Near-Field passive RFID communication: Channel model and code design. IEEE Transactions on Communications 62 1716-1727 (2014) Barbero, A.I., Rosnes, E., Yang, G. and Ytrehus, Ø.
Constrained codes for passive RFID communication Information Theory and Applications Workshop (ITA), 2011 0 (2011) Barbero, A.I., Rosnes, E., Yang, G. and Ytrehus, Ø.
Error Correction on an Insertion/Deletion Channel Applying Codes from RFID Standards. Information Theory and Applications Workshop (ITA), 2012 0 (2012) Yang, G., Barbero, A.I., Rosnes, E., and Ytrehus .
On the power transfer of error-control codes for RFID communications. Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on 0 (2012) Yang, G., Rosnes, E.,Barbero, A.I., and Ytrehus 
Information exchange for routing protocols. Information Theory and Applications Workshop (ITA), 2014 0 (2014) Barbero, A.I., and Ytrehus. Ø
A Coding-Based Approach to Robust Shortest-Path Routing. Coding Theory and Applications 4th International Castle Meeting, Palmela Castle, Portugal, September 15-18, 2014, Springer International Publishers, 0 35 a 42 (2015) Barbero, A.I., and Ytrehus, Ø
Regular representations of finite-dimensional separable semisimple algebras and Gröbner bases J. Symbolic Comput. 37 575--587 (2004) Martínez-Moro, Edgar
Gröbner bases for permutations and oriented trees Ann. Univ. Sci. Budapest. Sect. Comput. 23 137--148 (2004) Heged{H{u}}s, G. and Nagy, A. and Rónyai, L.
Compounding secret sharing schemes Australas. J. Combin. 30 277--290 (2004) Martínez-Moro, E. and Mozo-Fernández, J. and Munuera, C.
A generalization of Niederreiter-Xing's propagation rule and its commutativity with duality IEEE Trans. Inform. Theory 50 701--702 (2004) Martínez-Moro, Edgar
On the Gröbner bases of some symmetric systems and their application to coding theory J. Symbolic Comput. 35 177--194 (2003) Mora, Teo and Sala, Massimiliano
Properties of commutative association schemes derived by {FGLM} techniques Internat. J. Algebra Comput. 12 849--865 (2002) Martínez-Moro, Edgar
Ascending chain conditions in free Baxter algebras Internat. J. Algebra Comput. 12 601--622 (2002) Guo, Li
Groebner bases and distance of cyclic codes Appl. Algebra Engrg. Comm. Comput. 13 137--162 (2002) Sala, Massimiliano
On the structure of order domains Finite Fields Appl. 8 369--396 (2002) Geil, Olav and Pellikaan, Ruud
Algebraic structure of quasicyclic codes Discrete Appl. Math. 111 157--175 (2001) Lally, Kristine and Fitzpatrick, Patrick
Reed-Muller codes on complete intersections Appl. Algebra Engrg. Comm. Comput. 11 455--462 (2001) Duursma, I. M. and Rentería, C. and Tapia-Recillas, H.
List decoding codes on Garcia-Stictenoth tower using Gröbner basis J. Symbolic Comput. 44 1657--1661 (2009) Prem Laxman Das, M. and Sikdar, Kripasindhu
Geometric properties derived from generic initial spaces Proc. Amer. Math. Soc. 137 3619--3625 (2009) Fl{o}ystad, Gunnar and Stillman, Mike
A commutative algebra approach to linear codes J. Algebra 321 2259--2286 (2009) Giorgetti, Marta and Sala, Massimiliano
On the universal Gröbner bases of varieties of minimal degree Math. Res. Lett. 15 1211--1221 (2008) Petrović, Sonja
Gröbner bases and combinatorics for binary codes Appl. Algebra Engrg. Comm. Comput. 19 393--411 (2008) Borges-Quintana, M. and Borges-Trenard, M. A. and Fitzpatrick, P. and Martínez-Moro, E.
A note on the correction of clustered errors with limited intensity in Euclidean codes J. Algebra Discrete Struct. 6 53--61 (2008) Jain, S. and Lee, K.-S.
A new attempt on the $ criterion Comput. Sci. J. Moldova 16 4--14 (2008) Eder, Christian
Ring geometries, two-weight codes, and strongly regular graphs Des. Codes Cryptogr. 48 1--16 (2008) Byrne, Eimear and Greferath, Marcus and Honold, Thomas
A new algorithm for calculating the inverse matrix Investigación Oper. 28 180a--185 (2007) Freyre, Pablo L. and Díaz, Nelson
On semisimple algebra codes: generator theory Algebra Discrete Math. 0 99--112 (2007) Martínez-Moro, Edgar
On repeated-root multivariable codes over a finite chain ring Des. Codes Cryptogr. 45 219--227 (2007) Martínez-Moro, E. and Rúa, I. F.
On a Gröbner bases structure associated to linear codes J. Discrete Math. Sci. Cryptogr. 10 151--191 (2007) Borges-Quintana, M. and Borges-Trenard, M. A. and Martínez-Moro, E.
An extremal singly even self-dual code of length 88 Adv. Math. Commun. 1 261--267 (2007) Harada, Masaaki and Nishimura, Takuji
Multivariable codes over finite chain rings: serial codes SIAM J. Discrete Math. 20 947--959 (2006) Martínez-Moro, E. and Rúa, I. F.
The symmetric group given by a Gröbner basis J. Pure Appl. Algebra 207 149--154 (2006) Borges-Trenard, Miguel A. and Borges-Quintana, Mijail and Castellanos-Garzón, José A. and Martínez-Moro, Edgar
On the algebraic structure of quasi-cyclic codes. {IV}. Repeated roots Des. Codes Cryptogr. 38 337--361 (2006) Ling, San and Niederreiter, Harald and Solé, Patrick
On the composition of secret sharing schemes related to codes Discrete Math. Algorithms Appl. 6 1450013, 8 (2014) Márquez-Corbella, I. and Martínez-Moro, E. and Suárez-Canedo, E.
On additive modular bivariate codes over F_4 Finite Fields Appl. 28 199--213 (2014) Martínez-Moro, E. and Nicolás, A. P. and Rúa, I. F.
Computational aspects of retrieving a representation of an algebraic geometry code J. Symbolic Comput. 64 67--87 (2014) Márquez-Corbella, Irene and Martínez-Moro, Edgar and Pellikaan, Ruud and Ruano, Diego
On the unique representation of very strong algebraic geometry codes Des. Codes Cryptogr. 70 215--230 (2014) Márquez-Corbella, Irene and Martínez-Moro, Edgar and Pellikaan, Ruud
Foreword: computer algebra in coding theory and cryptography Appl. Algebra Engrg. Comm. Comput. 24 157--158 (2013) Bouyukliev, Iliya and Bulygin, Stanislav and Martínez-Moro, Edgar
Additive semisimple multivariable codes over F_4 Des. Codes Cryptogr. 69 161--180 (2013) Martínez-Moro, E. and Piñera-Nicolás, A. and Rúa, I. F.
On trace codes and Galois invariance over finite commutative chain rings Finite Fields Appl. 22 114--121 (2013) Martínez-Moro, E. and Nicolás, A. P. and Rua, I. F.
The non-gap sequence of a subcode of a generalized Reed-Solomon code Des. Codes Cryptogr. 66 317--333 (2013) Márquez-Corbella, Irene and Martínez-Moro, Edgar and Pellikaan, Ruud
Gröbner basis for norm-trace codes J. Symbolic Comput. 48 54--63 (2013) Farrán, J. I. and Munuera, C. and Tizziotti, G. and Torres, F.
Decomposition of modular codes for computing test sets and Graver basis Math. Comput. Sci. 6 147--165 (2012) Márquez-Corbella, Irene and Martínez-Moro, Edgar
Foreword [Matroids in coding theory and related topics] Math. Comput. Sci. 6 107--108 (2012) Kotsireas, Ilias S. and Márquez-Corbella, Irene and Martínez-Moro, Edgar
Algebraic structure of the minimal support codewords set of some linear codes Adv. Math. Commun. 5 233--244 (2011) Márquez-Corbella, Irene and Martínez-Moro, Edgar
New bounds for codes over finite Frobenius rings Des. Codes Cryptogr. 57 169--179 (2010) Byrne, Eimear and Greferath, Marcus and Kohnert, Axel and Skachek, Vitaly
Computing coset leaders and leader codewords of binary codes J. Algebra Appl. 14 1550128, 19 (2015) Borges-Quintana, M. and Borges-Trenard, M. A. and Márquez-Corbella, I. and Martínez-Moro, E.
Linear codes over $ rac{Bbb Z_4[x]}{langle x^2+2x angle}$ Int. J. Inf. Coding Theory 3 78--96 (2015) Martínez-Moro, Edgar and Szabo, Steve and Yildiz, Bahattin
On a class of repeated-root monomial-like abelian codes J. Algebra Comb. Discrete Struct. Appl. 2 75--84 (2015) Martínez-Moro, Edgar and Özadam, Hakan and Özbudak, Ferruh and Szabo, Steve
Foreword: computer algebra in coding theory and cryptography Des. Codes Cryptogr. 76 1--2 (2015) Kotsireas, I. and Martínez-Moro, Edgar
Multivariable codes in principal ideal polynomial quotient rings with applications to additive modular bivariate codes over F4 Journal of Pure and Applied Algebra 0 (2017) E. Martínez-Moro, A. Piñera-Nicolás, I.F. Rúa
Computational aspects of retrieving a representation of an algebraic geometry code J. Symbolic Comput. 64 67--87 (2014) Márquez-Corbella, Irene and Martínez-Moro, Edgar and Pellikaan, Ruud and Ruano, Diego
An algorithm to compute the number of points on elliptic curves of $-invariant $0$ or $1728$ over a finite field Rend. Circ. Mat. Palermo (2) 42 106--116 (1993) Munuera, Carlos and Tena, Juan G.
Bounding the trellis state complexity of algebraic geometric codes Appl. Algebra Engrg. Comm. Comput. 15 81--100 (2004) Munuera, Carlos and Torres, Fernando
Compounding secret sharing schemes Australas. J. Combin. 30 277--290 (2004) Martínez-Moro, E. and Mozo-Fernández, J. and Munuera, C.
Error-correcting codes (or How many questions are needed to know a number) Gac. R. Soc. Mat. Esp. 6 714--731 (2003) Munuera, Carlos
On the parameters of algebraic-geometry codes related to Arf semigroups IEEE Trans. Inform. Theory 46 2634--2638 (2000) Campillo, Antonio and Farrán, José Ignacio and Munuera, Carlos
Castle curves and codes Adv. Math. Commun. 3 399--408 (2009) Munuera, Carlos and Sepúlveda, Alonso and Torres, Fernando
A note on the order bound on the minimum distance of {AG} codes and acute semigroups Adv. Math. Commun. 2 175--181 (2008) Munuera, Carlos and Torres, Fernando
The structure of algebras admitting well-agreeing near weights J. Pure Appl. Algebra 212 910--918 (2008) Munuera, Carlos and Torres, Fernando
The accessibility of an access structure Theor. Inform. Appl. 40 559--567 (2006) Carreras, Francesc and Magaña, Antonio and Munuera, Carlo
Algebraic curves and error-correcting codes Gac. R. Soc. Mat. Esp. 9 204--222 (2006) Munuera, Carlos and Torres, Fernando
Generalized Hermitian codes Des. Codes Cryptogr. 69 123--130 (2013) Munuera, C. and Sepúlveda, A. and Torres, F.
On the minimum distance of Castle codes Finite Fields Appl. 20 55--63 (2013) Olaya-León, Wilson and Munuera, Carlos
Gröbner basis for norm-trace codes J. Symbolic Comput. 48 54--63 (2013) Farrán, J. I. and Munuera, C. and Tizziotti, G. and Torres, F.
Wet paper codes and the dual distance in steganography Adv. Math. Commun. 6 273--285 (2012) Munuera, Carlos and Barbier, Morgan
On the order bounds for one-point {AG} codes Adv. Math. Commun. 5 489--504 (2011) Geil, Olav and Munuera, Carlos and Ruano, Diego and Torres, Fernando
Hamming codes for wet paper steganography Des. Codes Cryptogr. 76 101--111 (2015) Munuera, Carlos
Quantum error-correcting codes from Algebraic Geometry codes of Castle type Quantum Information Processing 15 (2016) Carlos Munuera, Wanderson Tenório, Fernando Torres
On the order bounds for one-point AG codes Adv. Math. Commun. 5 489--504 (2011) Geil, Olav and Munuera, Carlos and Ruano, Diego and Torres, Fernando
An algorithmic approach to entanglement-assisted quantum error-correcting codes from the Hermitian curve Adv. Math. Commun. 17 78-97 (2023) R.B. Christensen, C. Munuera, F.R.F. Pereira, D. Ruano
Proyectos:
Otros datos: