Dück, Natalia; Zimmermann, Karl-Heinz Gröbner bases for perfect binary linear codes. (English) Zbl 1310.13034 Int. J. Pure Appl. Math. 91, No. 2, 155-167 (2014). MSC: 13P10 94B05 51E10 PDFBibTeX XMLCite \textit{N. Dück} and \textit{K.-H. Zimmermann}, Int. J. Pure Appl. Math. 91, No. 2, 155--167 (2014; Zbl 1310.13034) Full Text: DOI Link
Dück, Natalia; Zimmermann, Karl-Heinz Singleton codes. (English) Zbl 1286.94100 Int. J. Pure Appl. Math. 91, No. 3, 273-290 (2014). MSC: 94B05 94B15 PDFBibTeX XMLCite \textit{N. Dück} and \textit{K.-H. Zimmermann}, Int. J. Pure Appl. Math. 91, No. 3, 273--290 (2014; Zbl 1286.94100) Full Text: Link
Dück, Natalia; Zimmermann, Karl-Heinz Standard bases for binary linear codes. (English) Zbl 1258.13030 Int. J. Pure Appl. Math. 80, No. 3, 315-329 (2012). MSC: 13P10 94B05 PDFBibTeX XMLCite \textit{N. Dück} and \textit{K.-H. Zimmermann}, Int. J. Pure Appl. Math. 80, No. 3, 315--329 (2012; Zbl 1258.13030) Full Text: Link
López-Andrade, C. A.; Tapia-Recillas, H. On the cyclicity of the Gray image of a class of linear cyclic codes over a finite chain ring. (English) Zbl 1286.94107 Int. J. Pure Appl. Math. 80, No. 2, 181-190 (2012). MSC: 94B15 94B05 13E10 PDFBibTeX XMLCite \textit{C. A. López-Andrade} and \textit{H. Tapia-Recillas}, Int. J. Pure Appl. Math. 80, No. 2, 181--190 (2012; Zbl 1286.94107) Full Text: Link
Dück, Natalia; Zimmermann, Karl-Heinz A variant of the Gröbner basis algorithm for computing Hilbert bases. (English) Zbl 1256.13018 Int. J. Pure Appl. Math. 81, No. 1, 145-156 (2012). MSC: 13P10 13-04 94B05 90C05 PDFBibTeX XMLCite \textit{N. Dück} and \textit{K.-H. Zimmermann}, Int. J. Pure Appl. Math. 81, No. 1, 145--156 (2012; Zbl 1256.13018) Full Text: arXiv Link
Pirillo, Giuseppe A necessary and sufficient condition for a set of sequences on the genetic alphabet to be a circular code. (English) Zbl 1247.92010 Int. J. Pure Appl. Math. 76, No. 3, 431-437 (2012). MSC: 92C40 94A45 92-08 PDFBibTeX XMLCite \textit{G. Pirillo}, Int. J. Pure Appl. Math. 76, No. 3, 431--437 (2012; Zbl 1247.92010) Full Text: Link
Saleemi, Mehwish; Zimmermann, Karl-Heinz Groebner bases for linear codes over \(GF(4)\). (English) Zbl 1241.13025 Int. J. Pure Appl. Math. 73, No. 4, 435-442 (2011). MSC: 13P10 94B30 PDFBibTeX XMLCite \textit{M. Saleemi} and \textit{K.-H. Zimmermann}, Int. J. Pure Appl. Math. 73, No. 4, 435--442 (2011; Zbl 1241.13025) Full Text: Link
Leppert, Robert; Saleemi, Mehwish; Zimmermann, Karl-Heinz Groebner bases for quaternary codes. (English) Zbl 1235.13025 Int. J. Pure Appl. Math. 71, No. 4, 595-608 (2011). MSC: 13P10 94B05 PDFBibTeX XMLCite \textit{R. Leppert} et al., Int. J. Pure Appl. Math. 71, No. 4, 595--608 (2011; Zbl 1235.13025) Full Text: Link
Rubei, Elena A note on trees and codes. (English) Zbl 1237.05046 Int. J. Pure Appl. Math. 71, No. 1, 49-56 (2011). MSC: 05C05 05C22 94B25 PDFBibTeX XMLCite \textit{E. Rubei}, Int. J. Pure Appl. Math. 71, No. 1, 49--56 (2011; Zbl 1237.05046) Full Text: Link
La Guardia, G. G.; Grossi, L.; Vieira, R. C. A.; Pinto, M. A. V. A note on matroids, codes and information theory. (English) Zbl 1226.94018 Int. J. Pure Appl. Math. 70, No. 3, 307-316 (2011). MSC: 94B25 05B35 PDFBibTeX XMLCite \textit{G. G. La Guardia} et al., Int. J. Pure Appl. Math. 70, No. 3, 307--316 (2011; Zbl 1226.94018) Full Text: Link
La Guardia, Giuliano G.; Palazzo, Reginaldo jun.; Lavor, Carlile Nonbinary quantum Reed-Solomon codes. (English) Zbl 1214.81067 Int. J. Pure Appl. Math. 65, No. 1, 55-63 (2010). MSC: 81P70 81P94 94B60 PDFBibTeX XMLCite \textit{G. G. La Guardia} et al., Int. J. Pure Appl. Math. 65, No. 1, 55--63 (2010; Zbl 1214.81067)
Saleemi, Mehwish; Zimmermann, Karl-Heinz From ideals in polynomial rings to linear codes using Gröbner bases. (English) Zbl 1214.94076 Int. J. Pure Appl. Math. 65, No. 1, 41-53 (2010). MSC: 94B05 13P10 PDFBibTeX XMLCite \textit{M. Saleemi} and \textit{K.-H. Zimmermann}, Int. J. Pure Appl. Math. 65, No. 1, 41--53 (2010; Zbl 1214.94076)
Saleemi, Mehwish; Zimmermann, Karl-Heinz Groebner bases for linear codes. (English) Zbl 1210.13031 Int. J. Pure Appl. Math. 62, No. 4, 481-491 (2010). MSC: 13P10 94B05 PDFBibTeX XMLCite \textit{M. Saleemi} and \textit{K.-H. Zimmermann}, Int. J. Pure Appl. Math. 62, No. 4, 481--491 (2010; Zbl 1210.13031)
Saleemi, Mehwish; Zimmermann, Karl-Heinz Linear codes as binomial ideals. (English) Zbl 1203.13030 Int. J. Pure Appl. Math. 61, No. 2, 147-156 (2010). Reviewer: Ulrich Tipp (Krefeld) MSC: 13P10 94B05 PDFBibTeX XMLCite \textit{M. Saleemi} and \textit{K.-H. Zimmermann}, Int. J. Pure Appl. Math. 61, No. 2, 147--156 (2010; Zbl 1203.13030)
Saleemi, Mehwish; Zimmermann, Karl-Heinz Groebner bases for a class of ideals in commutative polynomial rings. (English) Zbl 1192.13019 Int. J. Pure Appl. Math. 58, No. 1, 1-9 (2010). MSC: 13P10 94B30 PDFBibTeX XMLCite \textit{M. Saleemi} and \textit{K.-H. Zimmermann}, Int. J. Pure Appl. Math. 58, No. 1, 1--9 (2010; Zbl 1192.13019)
Jitman, Somphong; Udomkavanich, Patanee On the generator polynomials of constacyclic codes over finite chain rings. (English) Zbl 1198.94183 Int. J. Pure Appl. Math. 59, No. 2, 213-224 (2010). MSC: 94B15 94B60 PDFBibTeX XMLCite \textit{S. Jitman} and \textit{P. Udomkavanich}, Int. J. Pure Appl. Math. 59, No. 2, 213--224 (2010; Zbl 1198.94183) Full Text: Link
Ashino, Ryuichi; Nguyen-Ba, Truong; Vaillancourt, Rémi Low-dimensional linear codes with high breakdown points by QR decomposition. (English) Zbl 1196.94080 Int. J. Pure Appl. Math. 57, No. 2, 151-163 (2009). Reviewer: Vladimír Lacko (Košice) MSC: 94B05 90C25 94B40 11T71 14G50 PDFBibTeX XMLCite \textit{R. Ashino} et al., Int. J. Pure Appl. Math. 57, No. 2, 151--163 (2009; Zbl 1196.94080)
Ku-Cauich, J. C.; Tapia-Recillas, H. Secret sharing schemes based on almost-bent functions. (English) Zbl 1182.94051 Int. J. Pure Appl. Math. 57, No. 1, 87-102 (2009). MSC: 94A62 94B05 PDFBibTeX XMLCite \textit{J. C. Ku-Cauich} and \textit{H. Tapia-Recillas}, Int. J. Pure Appl. Math. 57, No. 1, 87--102 (2009; Zbl 1182.94051)
Dowd, Martin A computer search for \(N_{1L}\) configurations. (English) Zbl 1173.94443 Int. J. Pure Appl. Math. 52, No. 2, 279-287 (2009). MSC: 94B05 PDFBibTeX XMLCite \textit{M. Dowd}, Int. J. Pure Appl. Math. 52, No. 2, 279--287 (2009; Zbl 1173.94443) Full Text: Link
Hurley, Ted Convolutional codes from units in matrix and group rings. (English) Zbl 1173.94452 Int. J. Pure Appl. Math. 50, No. 3, 431-463 (2009). MSC: 94B10 16S34 68P30 16U60 PDFBibTeX XMLCite \textit{T. Hurley}, Int. J. Pure Appl. Math. 50, No. 3, 431--463 (2009; Zbl 1173.94452) Full Text: arXiv
de Albuquerque, Clarice Dias; Palazzo Júnior, Reginaldo; da Silva, Eduardo Brandani On toric quantum codes. (English) Zbl 1213.94197 Int. J. Pure Appl. Math. 50, No. 2, 221-226 (2009). MSC: 94B60 05A18 81P70 PDFBibTeX XMLCite \textit{C. D. de Albuquerque} et al., Int. J. Pure Appl. Math. 50, No. 2, 221--226 (2009; Zbl 1213.94197)
Ferrari, Agnaldo José; de Andrade, Antonio Aparecido Families of algebraic lattices in even dimension up to 8. (English) Zbl 1181.11076 Int. J. Pure Appl. Math. 49, No. 1, 53-61 (2008). Reviewer: Bal Kishan Dass (Delhi) MSC: 11T71 94B05 94B40 11H06 PDFBibTeX XMLCite \textit{A. J. Ferrari} and \textit{A. A. de Andrade}, Int. J. Pure Appl. Math. 49, No. 1, 53--61 (2008; Zbl 1181.11076)
Panek, Luciano; Lazzarotto, Emerson; Bando, Fernando Mucio Codes satisfying the chain condition over Rosenbloom-Tsfasman spaces. (English) Zbl 1157.94376 Int. J. Pure Appl. Math. 48, No. 2, 217-222 (2008). MSC: 94B05 94B65 PDFBibTeX XMLCite \textit{L. Panek} et al., Int. J. Pure Appl. Math. 48, No. 2, 217--222 (2008; Zbl 1157.94376)
Dowd, Martin Configuration in binary linear codes. (English) Zbl 1213.94174 Int. J. Pure Appl. Math. 46, No. 2, 219-224 (2008). MSC: 94B05 PDFBibTeX XMLCite \textit{M. Dowd}, Int. J. Pure Appl. Math. 46, No. 2, 219--224 (2008; Zbl 1213.94174)
Koukouvinos, C.; Lappas, E. Codes from orthogonal arrays: application to three level orthogonal arrays with 27 runs. (English) Zbl 1214.94075 Int. J. Pure Appl. Math. 43, No. 4, 529-536 (2008). MSC: 94B05 94B25 05B15 PDFBibTeX XMLCite \textit{C. Koukouvinos} and \textit{E. Lappas}, Int. J. Pure Appl. Math. 43, No. 4, 529--536 (2008; Zbl 1214.94075)
Laihonen, Tero On edge-robust \((1, \leq l)\)-identifying codes in binary Hamming spaces. (English) Zbl 1131.94026 Int. J. Pure Appl. Math. 36, No. 1, 87-102 (2007). MSC: 94B65 94C12 05C70 PDFBibTeX XMLCite \textit{T. Laihonen}, Int. J. Pure Appl. Math. 36, No. 1, 87--102 (2007; Zbl 1131.94026)
Panek, Luciano; Firer, Marcelo Chain codes and spherical Tits buildings. (English) Zbl 1134.94387 Int. J. Pure Appl. Math. 35, No. 2, 185-202 (2007). MSC: 94B05 14M15 14G50 PDFBibTeX XMLCite \textit{L. Panek} and \textit{M. Firer}, Int. J. Pure Appl. Math. 35, No. 2, 185--202 (2007; Zbl 1134.94387) Full Text: arXiv
Laubie, Francois Some classes of linear greedy groups. (English) Zbl 1129.94310 Int. J. Pure Appl. Math. 32, No. 2, 221-223 (2006). MSC: 94B05 PDFBibTeX XMLCite \textit{F. Laubie}, Int. J. Pure Appl. Math. 32, No. 2, 221--223 (2006; Zbl 1129.94310)
van Asch, Bram Ternary codes and theta-functions. (English) Zbl 1116.11027 Int. J. Pure Appl. Math. 29, No. 3, 327-336 (2006). Reviewer: Gabriele Nebe (Aachen) MSC: 11F11 11F27 94B05 PDFBibTeX XMLCite \textit{B. van Asch}, Int. J. Pure Appl. Math. 29, No. 3, 327--336 (2006; Zbl 1116.11027)
Zhang, Peng; Joiner, Laurie L. STF coding for MIMO-OFDM systems with four or three transmit antennas. (English) Zbl 1107.94014 Int. J. Pure Appl. Math. 29, No. 3, 405-413 (2006). MSC: 94B12 94B35 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{L. L. Joiner}, Int. J. Pure Appl. Math. 29, No. 3, 405--413 (2006; Zbl 1107.94014)
Moreno, Oscar; Castro, Francis N. Improvement of Ax-Katz’s and Moreno-Moreno’s results and applications. (English) Zbl 1072.11091 Int. J. Pure Appl. Math. 19, No. 2, 259-267 (2005). Reviewer: Hai Quang Dinh (Warren) MSC: 11T06 11T23 94B75 11H71 PDFBibTeX XMLCite \textit{O. Moreno} and \textit{F. N. Castro}, Int. J. Pure Appl. Math. 19, No. 2, 259--267 (2005; Zbl 1072.11091)
Ballico, E. Evaluation codes on ruled varieties. (English) Zbl 1068.14026 Int. J. Pure Appl. Math. 15, No. 1, 53-59 (2004). Reviewer: Richard A. Mollin (Calgary) MSC: 14G50 14H60 PDFBibTeX XMLCite \textit{E. Ballico}, Int. J. Pure Appl. Math. 15, No. 1, 53--59 (2004; Zbl 1068.14026)
Guo, J. Y.; Hwang, F. K. Modifying a parity-check matrix to a separable matrix. (English) Zbl 1083.15037 Int. J. Pure Appl. Math. 16, No. 2, 173-179 (2004). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 15B57 15A30 94B05 PDFBibTeX XMLCite \textit{J. Y. Guo} and \textit{F. K. Hwang}, Int. J. Pure Appl. Math. 16, No. 2, 173--179 (2004; Zbl 1083.15037)