Hernández, Félix; Vega, Gerardo The subfield and extended codes of a subclass of optimal three-weight cyclic codes. (English) Zbl 07777579 Algorithmica 85, No. 12, 3973-3995 (2023). MSC: 68Wxx 05Cxx PDFBibTeX XMLCite \textit{F. Hernández} and \textit{G. Vega}, Algorithmica 85, No. 12, 3973--3995 (2023; Zbl 07777579) Full Text: DOI OA License
Vega, Gerardo The \(b\)-symbol weight distributions of all semiprimitive irreducible cyclic codes. (English) Zbl 1526.94060 Des. Codes Cryptography 91, No. 6, 2213-2221 (2023). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 94B15 11T71 94B27 PDFBibTeX XMLCite \textit{G. Vega}, Des. Codes Cryptography 91, No. 6, 2213--2221 (2023; Zbl 1526.94060) Full Text: DOI arXiv
Hernández, Félix; Vega, Gerardo On the subfield codes of a subclass of optimal cyclic codes and their covering structures. (English) Zbl 07719349 Castañeda, Armando (ed.) et al., Latin 2022: theoretical informatics. 15th Latin American symposium, Guanajuato, Mexico, November 7–11, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13568, 255-270 (2022). MSC: 68Qxx 68Rxx 68Wxx PDFBibTeX XMLCite \textit{F. Hernández} and \textit{G. Vega}, Lect. Notes Comput. Sci. 13568, 255--270 (2022; Zbl 07719349) Full Text: DOI
Vega, Gerardo An extended characterization of a class of optimal three-weight cyclic codes over any finite field. (English) Zbl 1403.94122 Finite Fields Appl. 48, 160-174 (2017). MSC: 94B15 11T23 PDFBibTeX XMLCite \textit{G. Vega}, Finite Fields Appl. 48, 160--174 (2017; Zbl 1403.94122) Full Text: DOI arXiv
Vega, Gerardo A characterization of a class of optimal three-weight cyclic codes of dimension 3 over any finite field. (English) Zbl 1364.94662 Finite Fields Appl. 42, 23-38 (2016). MSC: 94B15 11T71 11T23 PDFBibTeX XMLCite \textit{G. Vega}, Finite Fields Appl. 42, 23--38 (2016; Zbl 1364.94662) Full Text: DOI arXiv
Vega, Gerardo A critical review and some remarks about one- and two-weight irreducible cyclic codes. (English) Zbl 1368.11134 Finite Fields Appl. 33, 1-13 (2015). MSC: 11T71 11T55 12E20 PDFBibTeX XMLCite \textit{G. Vega}, Finite Fields Appl. 33, 1--13 (2015; Zbl 1368.11134) Full Text: DOI
Vega, Gerardo A family of six-weight reducible cyclic codes and their weight distribution. (English) Zbl 1441.94106 El Hajji, Said (ed.) et al., Codes, cryptology, and information security. First international conference, C2SI 2015, Rabat, Morocco, May 26–28, 2015. Proceedings – in honor of Thierry Berger. Cham: Springer. Lect. Notes Comput. Sci. 9084, 184-196 (2015). MSC: 94B15 PDFBibTeX XMLCite \textit{G. Vega}, Lect. Notes Comput. Sci. 9084, 184--196 (2015; Zbl 1441.94106) Full Text: DOI
Vega, Gerardo Two-weight cyclic codes constructed as the direct sum of two one-weight cyclic codes. (English) Zbl 1175.94125 Finite Fields Appl. 14, No. 3, 785-797 (2008). Reviewer: Ralph-Hardo Schulz (Berlin) MSC: 94B15 PDFBibTeX XMLCite \textit{G. Vega}, Finite Fields Appl. 14, No. 3, 785--797 (2008; Zbl 1175.94125) Full Text: DOI
Vega, Gerardo; Wolfmann, Jacques New classes of 2-weight cyclic codes. (English) Zbl 1132.94011 Des. Codes Cryptography 42, No. 3, 327-334 (2007). Reviewer: Bal Kishan Dass (Delhi) MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{G. Vega} and \textit{J. Wolfmann}, Des. Codes Cryptography 42, No. 3, 327--334 (2007; Zbl 1132.94011) Full Text: DOI
Vega, Gerardo; Wolfmann, Jacques Some families of \(\mathbb Z_4\)-cyclic codes. (English) Zbl 1096.94040 Finite Fields Appl. 10, No. 4, 530-539 (2004). MSC: 94B15 PDFBibTeX XMLCite \textit{G. Vega} and \textit{J. Wolfmann}, Finite Fields Appl. 10, No. 4, 530--539 (2004; Zbl 1096.94040) Full Text: DOI
Tapia-Recillas, H.; Vega, G. Some constacyclic codes over \({\mathbb Z}_{2^k}\) and binary quasi-cyclic codes. (English) Zbl 1041.94014 Discrete Appl. Math. 128, No. 1, 305-316 (2003). Reviewer: Patrick Solé (Sophia Antipolis) MSC: 94B60 94B15 PDFBibTeX XMLCite \textit{H. Tapia-Recillas} and \textit{G. Vega}, Discrete Appl. Math. 128, No. 1, 305--316 (2003; Zbl 1041.94014) Full Text: DOI
Tapia-Recillas, Horacio; Vega, Gerardo A generalization of negacyclic codes. (English) Zbl 0986.94044 Augot, Daniel (ed.) et al., WCC2001 international workshop on coding and cryptography. Paris, France, January 8-12, 2001. Amsterdam: Elsevier, Electron. Notes Discrete Math. 6, no pag., electronic only (2001). MSC: 94B60 PDFBibTeX XMLCite \textit{H. Tapia-Recillas} and \textit{G. Vega}, Electron. Notes Discrete Math. 6, no pag. (2001; Zbl 0986.94044)