Edit Profile (opens in new tab) Tapia-Recillas, Horacio Co-Author Distance Author ID: tapia-recillas.horacio Published as: Tapia-Recillas, H.; Tapia-Recillas, Horacio; Tapia, H.; Tapia Recillas, Horacio; Tapia Recillas, H. more...less External Links: MGP Documents Indexed: 73 Publications since 1977, including 1 Book and 4 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 36 Co-Authors with 64 Joint Publications 699 Co-Co-Authors all top 5 Co-Authors 9 single-authored 21 Rentería-Márquez, Carlos 7 Vega, Gerardo 5 Hernandez Melo, Cesar Adolfo 5 Smith, Roy Campbell 4 Gutiérrez, J. N. 4 Ku-Cauich, Juan Carlos 3 Castillo-Guillén, C. A. 3 Diaz-Vargas, Javier 3 López-Andrade, Carlos Alberto 3 Rubio Barrios, Carlos Jacob 3 Sozaya-Chan, José Antonio 2 González Sarabia, Manuel 2 Gutiérrez, Norberto 2 Hernández, Fernanda D. de Melo 2 Stichtenoth, Henning 1 Buchmann, Johannes A. 1 Carlet, Claude 1 Carvalho, Cícero F. 1 Chwe, Byoung-Song 1 Claro, Elias Javier Garcia 1 Daltabuit, E. 1 Duursma, Iwan Maynard 1 García-Claro, E. J. 1 Høholdt, Tom 1 Morales-Luna, Guillermo 1 Moreno, Carlos Julio 1 Mullen, Gary L. 1 Neggers, Joseph 1 Neumann, Victor G. L. 1 Ramírez-Mondragón, Xavier 1 Sarmiento Rosales, Eliseo 1 Torres-Chazaro, Adolfo 1 Urrutia, Luis F. 1 Velazco-Velazco, Juan Armando 1 Vélez, William Yslas 1 Villarreal, Rafael Heraclio all top 5 Serials 13 Congressus Numerantium 5 Communications in Algebra 4 International Journal of Algebra 3 Finite Fields and their Applications 2 Discrete Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 2 SIAM Journal on Discrete Mathematics 2 Designs, Codes and Cryptography 2 Applicable Algebra in Engineering, Communication and Computing 2 International Journal of Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Physics Letters. A 1 Nagoya Mathematical Journal 1 Tamkang Journal of Mathematics 1 Miscelánea Matemática 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Algebra and its Applications 1 Aportaciones Matemáticas. Comunicaciones 1 Advances in Mathematics of Communications 1 São Paulo Journal of Mathematical Sciences 1 Gulf Journal of Mathematics all top 5 Fields 52 Information and communication theory, circuits (94-XX) 22 Number theory (11-XX) 15 Commutative algebra (13-XX) 13 Algebraic geometry (14-XX) 6 Combinatorics (05-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Computer science (68-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 144 times in 99 Documents Cited by ▼ Year ▼ Reed-Muller codes on complete intersections. Zbl 1076.94043 Duursma, I. M.; Rentería, C.; Tapia-Recillas, H. 43 2001 Reed-Muller-type codes over the Segre variety. Zbl 1020.94029 González-Sarabia, M.; Rentería, C.; Tapia-Recillas, H. 25 2002 Reed-Muller codes: An ideal theory approach. Zbl 0868.94045 Rentería, C.; Tapia-Recillas, H. 15 1997 Some constacyclic codes over \({\mathbb Z}_{2^k}\) and binary quasi-cyclic codes. Zbl 1041.94014 Tapia-Recillas, H.; Vega, G. 11 2003 On \(k\)-normal elements over finite fields. Zbl 1404.12003 Sozaya-Chan, José Antonio; Tapia-Recillas, Horacio 7 2018 On \(\mathbb Z_{2^k}\)-linear and quaternary codes. Zbl 1046.94014 Tapia-Recillas, H.; Vega, G. 6 2003 Linear codes associated to the ideal of points in \(\mathbb{P}^ d\) and its canonical module. Zbl 0852.94026 Rentería, C.; Tapia-Recillas, H. 5 1996 Reed-Muller type codes on the Veronese variety over finite fields. Zbl 1019.94524 Rentería, C.; Tapia-Recillas, H. 4 2000 Constacyclic codes over finite local Frobenius non-chain rings with nilpotency index 3. Zbl 1351.94083 Castillo-Guillén, C. A.; Rentería-Márquez, C.; Tapia-Recillas, H. 4 2017 A MacWilliams identity for poset-codes. Zbl 0983.94042 Gutiérrez, J. N.; Tapia-Recillas, H. 3 1998 Duals of constacyclic codes over finite local Frobenius non-chain rings of length 4. Zbl 1415.94484 Castillo-Guillén, C. A.; Rentería-Márquez, C.; Tapia-Recillas, H. 3 2018 Inelastic inverse chaotic scattering problem. Zbl 1034.81053 Tapia, H.; Jung, C. 3 2003 Self-invertible permutation polynomials over \(\mathbb{Z}_m\). Zbl 1255.11059 Diaz-Vargas, Javier; Rubio-Barrios, Carlos Jacob; Sozaya-Chan, José Antonio; Tapia-Recillas, Horacio 2 2011 The \(a\)-invariant of some Reed-Muller codes. Zbl 0937.94013 Rentería, C.; Tapia-Recillas, H. 2 1999 Secret sharing schemes based on almost-bent functions. Zbl 1182.94051 Ku-Cauich, J. C.; Tapia-Recillas, H. 2 2009 Projective Reed-Muller type codes on higher dimensional scrolls. Zbl 1419.94089 Carvalho, Cícero; Ramírez-Mondragón, Xavier; Neumann, Victor G. L.; Tapia-Recillas, Horacio 2 2019 A secret sharing scheme from a chain ring linear code. Zbl 1197.94219 Tapia-Recillas, H. 1 2007 Bent functions on a Galois ring and systematic authentication codes. Zbl 1272.94076 Carlet, Claude; Ku-Cauich, Juan Carlos; Tapia-Recillas, Horacio 1 2012 On the linearity and quasi-cyclicity of the Gray image of codes over a Galois ring. Zbl 1229.94058 López-Andrade, C. A.; Tapia-Recillas, H. 1 2011 Ultrametric theta functions and abelian varieties. Zbl 0358.14022 Tapia-Recillas, Horacio 1 1978 A generalization of negacyclic codes. Zbl 0986.94044 Tapia-Recillas, Horacio; Vega, Gerardo 1 2001 The Gray map on \(\text{GR} (p^2,n)\) and repeated-root cyclic codes. Zbl 1064.94018 Tapia-Recillas, Horacio 1 2004 On idempotents of a class of commutative rings. Zbl 1462.16024 de Melo Hernández, Fernanda D.; Hernández Melo, César A.; Tapia-Recillas, Horacio 1 2020 On the dimension of ideals in group algebras, and group codes. Zbl 1486.20003 García-Claro, E. J.; Tapia-Recillas, H. 1 2022 Systematic authentication codes based on a class of bent functions and the Gray map on a Galois ring. Zbl 1283.94095 Ku-Cauich, J. C.; Tapia-Recillas, H. 1 2013 The dual of a constacyclic code, self dual, reversible constacyclic codes and constacyclic codes with complementary duals over finite local Frobenius non-chain rings with nilpotency index 3. Zbl 1418.94082 Castillo-Guillén, C. A.; Rentería-Márquez, C.; Sarmiento-Rosales, E.; Tapia-Recillas, H.; Villarreal, R. H. 1 2019 On the dimension of ideals in group algebras, and group codes. Zbl 1486.20003 García-Claro, E. J.; Tapia-Recillas, H. 1 2022 On idempotents of a class of commutative rings. Zbl 1462.16024 de Melo Hernández, Fernanda D.; Hernández Melo, César A.; Tapia-Recillas, Horacio 1 2020 Projective Reed-Muller type codes on higher dimensional scrolls. Zbl 1419.94089 Carvalho, Cícero; Ramírez-Mondragón, Xavier; Neumann, Victor G. L.; Tapia-Recillas, Horacio 2 2019 The dual of a constacyclic code, self dual, reversible constacyclic codes and constacyclic codes with complementary duals over finite local Frobenius non-chain rings with nilpotency index 3. Zbl 1418.94082 Castillo-Guillén, C. A.; Rentería-Márquez, C.; Sarmiento-Rosales, E.; Tapia-Recillas, H.; Villarreal, R. H. 1 2019 On \(k\)-normal elements over finite fields. Zbl 1404.12003 Sozaya-Chan, José Antonio; Tapia-Recillas, Horacio 7 2018 Duals of constacyclic codes over finite local Frobenius non-chain rings of length 4. Zbl 1415.94484 Castillo-Guillén, C. A.; Rentería-Márquez, C.; Tapia-Recillas, H. 3 2018 Constacyclic codes over finite local Frobenius non-chain rings with nilpotency index 3. Zbl 1351.94083 Castillo-Guillén, C. A.; Rentería-Márquez, C.; Tapia-Recillas, H. 4 2017 Systematic authentication codes based on a class of bent functions and the Gray map on a Galois ring. Zbl 1283.94095 Ku-Cauich, J. C.; Tapia-Recillas, H. 1 2013 Bent functions on a Galois ring and systematic authentication codes. Zbl 1272.94076 Carlet, Claude; Ku-Cauich, Juan Carlos; Tapia-Recillas, Horacio 1 2012 Self-invertible permutation polynomials over \(\mathbb{Z}_m\). Zbl 1255.11059 Diaz-Vargas, Javier; Rubio-Barrios, Carlos Jacob; Sozaya-Chan, José Antonio; Tapia-Recillas, Horacio 2 2011 On the linearity and quasi-cyclicity of the Gray image of codes over a Galois ring. Zbl 1229.94058 López-Andrade, C. A.; Tapia-Recillas, H. 1 2011 Secret sharing schemes based on almost-bent functions. Zbl 1182.94051 Ku-Cauich, J. C.; Tapia-Recillas, H. 2 2009 A secret sharing scheme from a chain ring linear code. Zbl 1197.94219 Tapia-Recillas, H. 1 2007 The Gray map on \(\text{GR} (p^2,n)\) and repeated-root cyclic codes. Zbl 1064.94018 Tapia-Recillas, Horacio 1 2004 Some constacyclic codes over \({\mathbb Z}_{2^k}\) and binary quasi-cyclic codes. Zbl 1041.94014 Tapia-Recillas, H.; Vega, G. 11 2003 On \(\mathbb Z_{2^k}\)-linear and quaternary codes. Zbl 1046.94014 Tapia-Recillas, H.; Vega, G. 6 2003 Inelastic inverse chaotic scattering problem. Zbl 1034.81053 Tapia, H.; Jung, C. 3 2003 Reed-Muller-type codes over the Segre variety. Zbl 1020.94029 González-Sarabia, M.; Rentería, C.; Tapia-Recillas, H. 25 2002 Reed-Muller codes on complete intersections. Zbl 1076.94043 Duursma, I. M.; Rentería, C.; Tapia-Recillas, H. 43 2001 A generalization of negacyclic codes. Zbl 0986.94044 Tapia-Recillas, Horacio; Vega, Gerardo 1 2001 Reed-Muller type codes on the Veronese variety over finite fields. Zbl 1019.94524 Rentería, C.; Tapia-Recillas, H. 4 2000 The \(a\)-invariant of some Reed-Muller codes. Zbl 0937.94013 Rentería, C.; Tapia-Recillas, H. 2 1999 A MacWilliams identity for poset-codes. Zbl 0983.94042 Gutiérrez, J. N.; Tapia-Recillas, H. 3 1998 Reed-Muller codes: An ideal theory approach. Zbl 0868.94045 Rentería, C.; Tapia-Recillas, H. 15 1997 Linear codes associated to the ideal of points in \(\mathbb{P}^ d\) and its canonical module. Zbl 0852.94026 Rentería, C.; Tapia-Recillas, H. 5 1996 Ultrametric theta functions and abelian varieties. Zbl 0358.14022 Tapia-Recillas, Horacio 1 1978 all cited Publications top 5 cited Publications all top 5 Cited by 120 Authors 24 Villarreal, Rafael Heraclio 10 Vaz Pinto, Maria 9 López, Hiram H. 9 Rentería-Márquez, Carlos 9 Tapia-Recillas, Horacio 8 Neumann, Victor G. L. 6 González Sarabia, Manuel 5 Carvalho, Cícero F. 5 Martínez-Bernal, José 5 Neves, Jorge 4 Castillo-Guillén, C. A. 4 Kai, Xiaoshan 4 Soprunov, Ivan 4 Tochimani, Azucena 4 Zhu, Shixin 3 Aguirre, Josimar J. R. 3 Pitones, Yuriko 3 Şahin, Mesut 3 Sarmiento, Eliseo 2 Ballico, Edoardo 2 Cao, Yonglin 2 Chatouh, Karima 2 Ding, Jian 2 Fernández-Córdoba, Cristina 2 Gimenez, Philippe 2 Kim, Dae San 2 Ku-Cauich, Juan Carlos 2 Li, Hongju 2 López-Andrade, Carlos Alberto 2 Matthews, Gretchen L. 2 Morales-Luna, Guillermo 2 Ruano, Diego 2 San-José, Rodrigo 2 Sarmiento Rosales, Eliseo 2 Valencia-Bucio, Miguel A. 2 Vega, Gerardo 2 Villanueva, Mercè 1 Álvarez Garcia, Caín 1 Ballet, Stéphane 1 Bandi, Ramakrishna 1 Barg, Alexander M. 1 Berg, James 1 Bhaintwal, Maheshanand 1 Bhandari, Mahesh Chandra 1 Bhunia, Dipak Kumar 1 Borello, Martino 1 Broche, Osnel 1 Camps Moreno, Eduardo 1 Cao, Yuan 1 Cooper, Susan Marie 1 del Río, Angel 1 Demirarslan, Pinar Celebi 1 Dias, Eduardo Manuel 1 Eyvazi, Hamidreza 1 Felix, Luciano Viana 1 Feng, Keqin 1 Firer, Marcelo 1 Fontanari, Claudio 1 Fouli, Louiza 1 García-Ramírez, Angel R. 1 Ghorpade, Sudhir R. 1 Gold, Leah H. 1 Grassi, Lorenzo 1 Guenda, Kenza 1 Gulliver, Thomas Aaron 1 Gupta, Manish Kumar 1 Hà, Huy Tài 1 Hernandez Melo, Cesar Adolfo 1 Horlemann-Trautmann, Anna-Lena 1 Jaramillo-Velez, Delio 1 Jaramillo, Delio 1 Karpov, Arkadiy V. 1 Kim, Dong Chan 1 Kim, Ryul 1 Kurz, Sascha 1 Lal, Arbind Kumar 1 Lavauzelle, Julien 1 Lemos, Abílio 1 Li, Ping 1 Little, John Brittain 1 Lüftenegger, Reinhard 1 Manganiello, Felice 1 Morey, Susan E. 1 Ramírez-Mondragón, Xavier 1 Rani, Mamta 1 Rechberger, Christian 1 Ribas, Sávio 1 Rodier, François 1 Rolland, Robert 1 Rosenthal, Joachim 1 Rotaru, Dragos 1 Samei, Karim 1 Sánchez Hernández, Antonio J. 1 Savari, Batoul 1 Schenck, Hal 1 Schofnegger, Markus 1 Seceleanu, Alexandra 1 Sharma, Avnish K. 1 Simis, Aron 1 Sobhani, Reza ...and 20 more Authors all top 5 Cited in 31 Serials 20 Finite Fields and their Applications 16 Designs, Codes and Cryptography 8 Discrete Mathematics 5 Communications in Algebra 4 Journal of Pure and Applied Algebra 4 Applicable Algebra in Engineering, Communication and Computing 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Journal of Algebra and its Applications 3 São Paulo Journal of Mathematical Sciences 2 Journal of the Franklin Institute 2 Journal of Algebra 2 Computational and Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Applied Mathematics and Computing 1 Mathematical Notes 1 Journal of Number Theory 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Journal of Symbolic Computation 1 Forum Mathematicum 1 International Journal of Algebra and Computation 1 Journal of Algebraic Combinatorics 1 Mathematics in Computer Science 1 Advances in Mathematics of Communications 1 Revista Integración 1 Afrika Matematika 1 Arabian Journal of Mathematics 1 Electronic Journal of Graph Theory and Applications 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 Prikladnaya Diskretnaya Matematika all top 5 Cited in 14 Fields 76 Information and communication theory, circuits (94-XX) 54 Number theory (11-XX) 41 Commutative algebra (13-XX) 41 Algebraic geometry (14-XX) 6 Combinatorics (05-XX) 6 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 3 Computer science (68-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Convex and discrete geometry (52-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Geometry (51-XX) Citations by Year