Imamura, Koji; Shiromoto, Keisuke Critical problem for a \(q\)-analogue of polymatroids. (English) Zbl 07825858 Discrete Math. 347, No. 5, Article ID 113924, 13 p. (2024). MSC: 05B35 52B40 94B05 PDFBibTeX XMLCite \textit{K. Imamura} and \textit{K. Shiromoto}, Discrete Math. 347, No. 5, Article ID 113924, 13 p. (2024; Zbl 07825858) Full Text: DOI
Bartoli, Daniele; Borello, Martino; Marino, Giuseppe Saturating linear sets of minimal rank. (English) Zbl 07814063 Finite Fields Appl. 95, Article ID 102390, 27 p. (2024). MSC: 05B40 51E20 52C17 11T71 94B75 PDFBibTeX XMLCite \textit{D. Bartoli} et al., Finite Fields Appl. 95, Article ID 102390, 27 p. (2024; Zbl 07814063) Full Text: DOI arXiv
Bonini, Matteo; Borello, Martino; Byrne, Eimear Saturating systems and the rank-metric covering radius. (English) Zbl 07784775 J. Algebr. Comb. 58, No. 4, 1173-1202 (2023). MSC: 94B75 05B40 11T71 51E20 52C17 PDFBibTeX XMLCite \textit{M. Bonini} et al., J. Algebr. Comb. 58, No. 4, 1173--1202 (2023; Zbl 07784775) Full Text: DOI arXiv OA License
Maimani, H. R.; Parsaei-Majd, L.; Pournaki, M. R.; Poursoltani, M. On the structure of matroids arising from the gain graphs. (English) Zbl 1522.05178 Discrete Math. 346, No. 12, Article ID 113637, 9 p. (2023). MSC: 05C22 05B35 05E45 52B40 94B05 PDFBibTeX XMLCite \textit{H. R. Maimani} et al., Discrete Math. 346, No. 12, Article ID 113637, 9 p. (2023; Zbl 1522.05178) Full Text: DOI
Martínez-Bernal, José; Valencia-Bucio, Miguel A.; Villarreal, Rafael H. Hamming polynomial of a demimatroid. (English) Zbl 1518.05036 São Paulo J. Math. Sci. 17, No. 1, 268-299 (2023). MSC: 05B35 05E45 05C31 52B40 13F55 13F20 94B27 94B05 PDFBibTeX XMLCite \textit{J. Martínez-Bernal} et al., São Paulo J. Math. Sci. 17, No. 1, 268--299 (2023; Zbl 1518.05036) Full Text: DOI arXiv
Panja, Avijit; Pratihar, Rakhi; Randrianarisoa, Tovohery Hajatiana Some matroids related to sum-rank metric codes. (English) Zbl 1518.05037 Discrete Math. 346, No. 4, Article ID 113301, 15 p. (2023). MSC: 05B35 94B05 52B40 PDFBibTeX XMLCite \textit{A. Panja} et al., Discrete Math. 346, No. 4, Article ID 113301, 15 p. (2023; Zbl 1518.05037) Full Text: DOI arXiv
Sheffer, Adam Polynomial methods and incidence theory. (English) Zbl 1505.51001 Cambridge Studies in Advanced Mathematics 197. Cambridge: Cambridge University Press (ISBN 978-1-108-83249-6/hbk; 978-1-108-95998-8/ebook). xvi, 246 p. (2022). Reviewer: Audie Warren (Linz) MSC: 51-01 26-01 05-01 52C10 11-01 05B25 11B25 11B30 51E22 PDFBibTeX XMLCite \textit{A. Sheffer}, Polynomial methods and incidence theory. Cambridge: Cambridge University Press (2022; Zbl 1505.51001) Full Text: DOI
Nardi, Jade Projective toric codes. (English) Zbl 07468307 Int. J. Number Theory 18, No. 1, 179-204 (2022). MSC: 14G50 94B05 14M25 14J20 52B20 52B05 52B11 13P10 PDFBibTeX XMLCite \textit{J. Nardi}, Int. J. Number Theory 18, No. 1, 179--204 (2022; Zbl 07468307) Full Text: DOI arXiv
Coregliano, Leonardo Nagami; Jeronimo, Fernando Granha; Jones, Chris Exact Completeness of LP Hierarchies for Linear Codes. arXiv:2211.01248 Preprint, arXiv:2211.01248 [cs.IT] (2022). MSC: 94B65 52B12 94B05 BibTeX Cite \textit{L. N. Coregliano} et al., ``Exact Completeness of LP Hierarchies for Linear Codes'', Preprint, arXiv:2211.01248 [cs.IT] (2022) Full Text: arXiv OA License
Strey, Giselle; Strapasson, João E.; Costa, Sueli I. R. Perfect codes in Euclidean lattices. (English) Zbl 1476.94044 Comput. Appl. Math. 40, No. 2, Paper No. 47, 20 p. (2021). MSC: 94B05 52C22 11H31 05B50 PDFBibTeX XMLCite \textit{G. Strey} et al., Comput. Appl. Math. 40, No. 2, Paper No. 47, 20 p. (2021; Zbl 1476.94044) Full Text: DOI
Johnsen, Trygve; Verdure, Hugues Möbius and coboundary polynomials for matroids. (English) Zbl 1472.05162 Des. Codes Cryptography 89, No. 9, 2163-2177 (2021). MSC: 05E45 94B05 05B35 13F55 52B40 PDFBibTeX XMLCite \textit{T. Johnsen} and \textit{H. Verdure}, Des. Codes Cryptography 89, No. 9, 2163--2177 (2021; Zbl 1472.05162) Full Text: DOI
Beke, Ákos; Szabó, Sándor; Zavalnij, Bogdán Some zero-one linear programming reformulations for the maximum clique problem. (English) Zbl 1474.94099 Math. Pannonica (N.S.) 27, No. 1, 32-47 (2021). Reviewer: Steven T. Dougherty (Scranton) MSC: 94B60 05B45 52C22 PDFBibTeX XMLCite \textit{Á. Beke} et al., Math. Pannonica (N.S.) 27, No. 1, 32--47 (2021; Zbl 1474.94099) Full Text: DOI
Johnsen, Trygve; Verdure, Hugues Greedy weights for matroids. (English) Zbl 1458.05037 Des. Codes Cryptography 89, No. 2, 387-405 (2021). MSC: 05B35 94B05 13F55 52B40 PDFBibTeX XMLCite \textit{T. Johnsen} and \textit{H. Verdure}, Des. Codes Cryptography 89, No. 2, 387--405 (2021; Zbl 1458.05037) Full Text: DOI arXiv
Boyvalenkov, Peter; Delchev, Konstantin; Jourdain, Matthieu Upper energy bounds for spherical designs of relatively small cardinalities. (English) Zbl 1456.05027 Discrete Comput. Geom. 65, No. 1, 244-260 (2021). MSC: 05B30 52C17 94B65 90C05 PDFBibTeX XMLCite \textit{P. Boyvalenkov} et al., Discrete Comput. Geom. 65, No. 1, 244--260 (2021; Zbl 1456.05027) Full Text: DOI arXiv
Ghorpade, Sudhir R.; Johnsen, Trygve A polymatroid approach to generalized weights of rank metric codes. (English) Zbl 1480.94048 Des. Codes Cryptography 88, No. 12, 2531-2546 (2020). Reviewer: Hiram López (Cleveland) MSC: 94B60 05B35 15A03 52B40 PDFBibTeX XMLCite \textit{S. R. Ghorpade} and \textit{T. Johnsen}, Des. Codes Cryptography 88, No. 12, 2531--2546 (2020; Zbl 1480.94048) Full Text: DOI arXiv
Hussain, Naveed; Luo, Xue; Yau, Stephen S.-T.; Zhang, Mingyi; Zuo, Huaiqing On classification of toric surface codes of dimension seven. (English) Zbl 1455.14055 Commun. Anal. Geom. 28, No. 2, 263-319 (2020). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 14G50 94B27 14M25 52B20 PDFBibTeX XMLCite \textit{N. Hussain} et al., Commun. Anal. Geom. 28, No. 2, 263--319 (2020; Zbl 1455.14055) Full Text: DOI
Goldrup, Sarah Ayman; Phillipson, Kaitlyn Classification of open and closed convex codes on five neurons. (English) Zbl 1507.92017 Adv. Appl. Math. 112, Article ID 101948, 13 p. (2020). MSC: 92C20 94B05 52A10 55U10 PDFBibTeX XMLCite \textit{S. A. Goldrup} and \textit{K. Phillipson}, Adv. Appl. Math. 112, Article ID 101948, 13 p. (2020; Zbl 1507.92017) Full Text: DOI arXiv
Barvinok, Alexander; Regts, Guus Weighted counting of solutions to sparse systems of equations. (English) Zbl 1433.68166 Comb. Probab. Comput. 28, No. 5, 696-719 (2019). MSC: 68Q25 05C50 05C65 05C70 52B55 68W25 82B20 94B05 PDFBibTeX XMLCite \textit{A. Barvinok} and \textit{G. Regts}, Comb. Probab. Comput. 28, No. 5, 696--719 (2019; Zbl 1433.68166) Full Text: DOI arXiv
Higashitani, Akihiro Lattice simplices of maximal dimension with a given degree. (English) Zbl 1445.52010 Mich. Math. J. 68, No. 1, 193-210 (2019). Reviewer: Matthias Schymura (Lausanne) MSC: 52B20 14M25 94B05 PDFBibTeX XMLCite \textit{A. Higashitani}, Mich. Math. J. 68, No. 1, 193--210 (2019; Zbl 1445.52010) Full Text: DOI arXiv
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M. Energy bounds for codes in polynomial metric spaces. (English) Zbl 1454.94139 Anal. Math. Phys. 9, No. 2, 781-808 (2019). MSC: 94B65 52A40 PDFBibTeX XMLCite \textit{P. G. Boyvalenkov} et al., Anal. Math. Phys. 9, No. 2, 781--808 (2019; Zbl 1454.94139) Full Text: DOI arXiv
Shiromoto, Keisuke Codes with the rank metric and matroids. (English) Zbl 1414.05071 Des. Codes Cryptography 87, No. 8, 1765-1776 (2019). MSC: 05B35 94B60 94B05 52B40 PDFBibTeX XMLCite \textit{K. Shiromoto}, Des. Codes Cryptography 87, No. 8, 1765--1776 (2019; Zbl 1414.05071) Full Text: DOI
Nakiboğlu, Bariş The sphere packing bound via Augustin’s method. (English) Zbl 1427.94097 IEEE Trans. Inf. Theory 65, No. 2, 816-840 (2019). MSC: 94B05 52C17 60D05 94A17 PDFBibTeX XMLCite \textit{B. Nakiboğlu}, IEEE Trans. Inf. Theory 65, No. 2, 816--840 (2019; Zbl 1427.94097) Full Text: DOI arXiv
Farr, Graham E.; Wang, Andrew Y. Z. Powerful sets: a generalisation of binary matroids. (English) Zbl 1394.05013 Electron. J. Comb. 25, No. 3, Research Paper P3.42, 20 p. (2018). MSC: 05B35 05B99 52B40 94B60 94B05 PDFBibTeX XMLCite \textit{G. E. Farr} and \textit{A. Y. Z. Wang}, Electron. J. Comb. 25, No. 3, Research Paper P3.42, 20 p. (2018; Zbl 1394.05013) Full Text: arXiv Link
Ball, Simeon Book review of: L. Guth, Polynomial methods in combinatorics. (English) Zbl 1392.00014 Jahresber. Dtsch. Math.-Ver. 120, No. 2, 147-150 (2018). MSC: 00A17 05-02 05A10 05E99 11C08 11J68 11T06 12F20 52C99 94B05 PDFBibTeX XMLCite \textit{S. Ball}, Jahresber. Dtsch. Math.-Ver. 120, No. 2, 147--150 (2018; Zbl 1392.00014) Full Text: DOI
Franke, Megan; Muthiah, Samuel Every binary code can be realized by convex sets. (English) Zbl 1391.94843 Adv. Appl. Math. 99, 83-93 (2018). MSC: 94B05 05E45 52A20 55U10 92C20 PDFBibTeX XMLCite \textit{M. Franke} and \textit{S. Muthiah}, Adv. Appl. Math. 99, 83--93 (2018; Zbl 1391.94843) Full Text: DOI arXiv
Geelen, Jim; Kapadia, Rohan Computing girth and cogirth in perturbed graphic matroids. (English) Zbl 1413.05043 Combinatorica 38, No. 1, 167-191 (2018). MSC: 05B35 94B05 90C27 68W20 52B40 PDFBibTeX XMLCite \textit{J. Geelen} and \textit{R. Kapadia}, Combinatorica 38, No. 1, 167--191 (2018; Zbl 1413.05043) Full Text: DOI arXiv
Tao, Terence Book review of: L. Guth, Polynomial methods in combinatorics. (English) Zbl 1393.00033 Bull. Am. Math. Soc., New Ser. 55, No. 1, 103-107 (2018). MSC: 00A17 05-02 05A10 05E99 11C08 11J68 11T06 12F20 52C99 94B05 PDFBibTeX XMLCite \textit{T. Tao}, Bull. Am. Math. Soc., New Ser. 55, No. 1, 103--107 (2018; Zbl 1393.00033) Full Text: DOI
Meyer, Marie; Pllaha, Tefjol Laplacian Simplices II: A Coding Theoretic Approach. arXiv:1809.02960 Preprint, arXiv:1809.02960 [math.CO] (2018). MSC: 05C50 52B20 94B05 BibTeX Cite \textit{M. Meyer} and \textit{T. Pllaha}, ``Laplacian Simplices II: A Coding Theoretic Approach'', Preprint, arXiv:1809.02960 [math.CO] (2018) Full Text: arXiv OA License
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M. Universal lower bounds for potential energy of spherical codes. (English) Zbl 1404.94154 Constr. Approx. 44, No. 3, 385-415 (2016). MSC: 94B65 52A40 05B30 PDFBibTeX XMLCite \textit{P. G. Boyvalenkov} et al., Constr. Approx. 44, No. 3, 385--415 (2016; Zbl 1404.94154) Full Text: DOI arXiv
Blagojević, Pavle V. M.; Frick, Florian; Haase, Albert; Ziegler, Günter M. Hyperplane mass partitions via relative equivariant obstruction theory. (English) Zbl 1361.55007 Doc. Math. 21, 735-771 (2016). Reviewer: Nikita Kalinin (Col. San Pedro Zacatenco) MSC: 55N25 51N20 52A35 94B05 94B15 PDFBibTeX XMLCite \textit{P. V. M. Blagojević} et al., Doc. Math. 21, 735--771 (2016; Zbl 1361.55007) Full Text: arXiv EMIS
Guth, Larry Polynomial methods in combinatorics. (English) Zbl 1388.05003 University Lecture Series 64. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2890-7/pbk; 978-1-4704-3214-0/ebook). ix, 273 p. (2016). Reviewer: Zhi-Wei Sun (Nanjing) MSC: 05-02 05A10 05E99 11C08 11J68 11T06 12F20 52C99 94B05 PDFBibTeX XMLCite \textit{L. Guth}, Polynomial methods in combinatorics. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1388.05003)
Dvir, Zeev; Hu, Guangda Sylvester-Gallai for arrangements of subspaces. (English) Zbl 1382.52021 Arge, Lars (ed.) et al., 31st international symposium on computational geometry, SoCG’15, Eindhoven, Netherlands, June 22–25, 2015. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-939897-83-5). LIPIcs – Leibniz International Proceedings in Informatics 34, 29-43 (2015). MSC: 52C35 15A04 PDFBibTeX XMLCite \textit{Z. Dvir} and \textit{G. Hu}, LIPIcs -- Leibniz Int. Proc. Inform. 34, 29--43 (2015; Zbl 1382.52021) Full Text: DOI arXiv
Kløve, Torleiv; Schwartz, Moshe Linear covering codes and error-correcting codes for limited-magnitude errors. (English) Zbl 1300.11075 Des. Codes Cryptography 73, No. 2, 329-354 (2014); erratum ibid. 73, No. 3, 1029 (2014). Reviewer: Ralph-Hardo Schulz (Berlin) MSC: 11H31 52C17 94B05 05B40 94B65 94B75 PDFBibTeX XMLCite \textit{T. Kløve} and \textit{M. Schwartz}, Des. Codes Cryptography 73, No. 2, 329--354 (2014; Zbl 1300.11075) Full Text: DOI
Berg, James; Wakefield, Max Skeleton simplicial evaluation codes. (English) Zbl 1298.52029 Des. Codes Cryptography 72, No. 3, 609-625 (2014). Reviewer: Kelly J. Pearson (Murray) MSC: 52C35 94B05 05E40 05E45 PDFBibTeX XMLCite \textit{J. Berg} and \textit{M. Wakefield}, Des. Codes Cryptography 72, No. 3, 609--625 (2014; Zbl 1298.52029) Full Text: DOI arXiv
Brown, Gavin; Kasprzyk, Alexander M. Seven new champion linear codes. (English) Zbl 1311.14027 LMS J. Comput. Math. 16, 109-117 (2013). Reviewer: Nathan Kaplan (New Haven) MSC: 94B05 14G50 52B20 14M25 05B35 PDFBibTeX XMLCite \textit{G. Brown} and \textit{A. M. Kasprzyk}, LMS J. Comput. Math. 16, 109--117 (2013; Zbl 1311.14027) Full Text: DOI arXiv
Boyvalenkov, P.; Dodunekov, S.; Musin, O. A survey on the kissing numbers. (English) Zbl 1324.52013 Serdica Math. J. 38, No. 4, 507-522 (2012). Reviewer: Vesselin Drensky (Sofia) MSC: 52C17 94B65 90C05 52-02 PDFBibTeX XMLCite \textit{P. Boyvalenkov} et al., Serdica Math. J. 38, No. 4, 507--522 (2012; Zbl 1324.52013) Full Text: arXiv
Coppersmith, Don; Miller, Victor S. Binary nontiles. (English) Zbl 1246.05038 SIAM J. Discrete Math. 26, No. 1, 30-38 (2012). MSC: 05B45 05A18 94B25 94B60 52C22 90C05 PDFBibTeX XMLCite \textit{D. Coppersmith} and \textit{V. S. Miller}, SIAM J. Discrete Math. 26, No. 1, 30--38 (2012; Zbl 1246.05038) Full Text: DOI
Jiang, Yong; Xia, Shu-Tao; Fu, Fang-Wei Stopping set distributions of some Reed-Muller codes. (English) Zbl 1365.94288 IEEE Trans. Inf. Theory 57, No. 9, 6078-6088 (2011). MSC: 94A40 52B12 94B05 94B40 PDFBibTeX XMLCite \textit{Y. Jiang} et al., IEEE Trans. Inf. Theory 57, No. 9, 6078--6088 (2011; Zbl 1365.94288) Full Text: DOI
Blinovsky, Vladimir; Litsyn, Simon New asymptotic bounds on the size of multiple packings of the Euclidean sphere. (English) Zbl 1235.52028 Discrete Comput. Geom. 46, No. 4, 626-635 (2011). Reviewer: Peter Boyvalenkov (Sofia) MSC: 52C17 94B60 94B75 90C05 PDFBibTeX XMLCite \textit{V. Blinovsky} and \textit{S. Litsyn}, Discrete Comput. Geom. 46, No. 4, 626--635 (2011; Zbl 1235.52028) Full Text: DOI
Dvir, Zeev Incidence theorems and their applications. (English) Zbl 1278.68012 Found. Trends Theor. Comput. Sci. 6, No. 4, 257-393 (2010). MSC: 68-02 12Y05 52C35 52C45 68R05 68U05 68W20 94B05 PDFBibTeX XMLCite \textit{Z. Dvir}, Found. Trends Theor. Comput. Sci. 6, No. 4, 257--393 (2010; Zbl 1278.68012) Full Text: DOI arXiv
Horváth, Á. G. Packing points into a unit cube in higher space. (English) Zbl 1242.52020 Stud. Univ. Žilina, Math. Ser. 24, No. 1, 23-28 (2010). Reviewer: Peter Boyvalenkov (Sofia) MSC: 52C17 94B05 PDFBibTeX XMLCite \textit{Á. G. Horváth}, Stud. Univ. Žilina, Math. Ser. 24, No. 1, 23--28 (2010; Zbl 1242.52020) Full Text: arXiv
Costa, S. I. R.; Strapasson, J. E.; Alves, M. M. S.; Carlos, T. B. Circulant graphs and tessellations on flat tori. (English) Zbl 1211.52016 Linear Algebra Appl. 432, No. 1, 369-382 (2010). Reviewer: Dragan Stevanović (Niš) MSC: 52C07 05C10 94B05 PDFBibTeX XMLCite \textit{S. I. R. Costa} et al., Linear Algebra Appl. 432, No. 1, 369--382 (2010; Zbl 1211.52016) Full Text: DOI
Kahle, T.; Wenzel, W.; Ay, N. Hierarchical models, marginal polytopes, and linear codes. (English) Zbl 1167.94340 Kybernetika 45, No. 2, 189-207 (2009). MSC: 94B05 52B11 60C05 PDFBibTeX XMLCite \textit{T. Kahle} et al., Kybernetika 45, No. 2, 189--207 (2009; Zbl 1167.94340) Full Text: arXiv EuDML Link
Bachoc, Christine; Vallentin, Frank Optimality and uniqueness of the \((4,10,1/6)\) spherical code. (English) Zbl 1160.94018 J. Comb. Theory, Ser. A 116, No. 1, 195-204 (2009). Reviewer: Patric R. J. Östergård (Helsinki) MSC: 94B60 52C17 90C22 90C05 PDFBibTeX XMLCite \textit{C. Bachoc} and \textit{F. Vallentin}, J. Comb. Theory, Ser. A 116, No. 1, 195--204 (2009; Zbl 1160.94018) Full Text: DOI arXiv
Pfender, Florian Improved Delsarte bounds for spherical codes in small dimensions. (English) Zbl 1125.94049 J. Comb. Theory, Ser. A 114, No. 6, 1133-1147 (2007). Reviewer: Steven T. Dougherty (Scranton) MSC: 94B65 52C17 05E30 PDFBibTeX XMLCite \textit{F. Pfender}, J. Comb. Theory, Ser. A 114, No. 6, 1133--1147 (2007; Zbl 1125.94049) Full Text: DOI arXiv
Gaborit, Philippe; Zémor, Gilles On the construction of dense lattices with a given automorphisms group. (English) Zbl 1172.11021 Ann. Inst. Fourier 57, No. 4, 1051-1062 (2007). Reviewer: Bertrand Meyer (Lausanne) MSC: 11H31 11H71 52C17 94B05 PDFBibTeX XMLCite \textit{P. Gaborit} and \textit{G. Zémor}, Ann. Inst. Fourier 57, No. 4, 1051--1062 (2007; Zbl 1172.11021) Full Text: DOI arXiv Numdam Numdam EuDML
Östergård, Patric R. J.; Quistorff, Jörn; Wassermann, Alfred New results on codes with covering radius 1 and minimum distance \(2\). (English) Zbl 1081.94041 Des. Codes Cryptography 35, No. 2, 241-250 (2005). Reviewer: Peter Boyvalenkov (Sofia) MSC: 94B65 94B75 52C17 51E22 PDFBibTeX XMLCite \textit{P. R. J. Östergård} et al., Des. Codes Cryptography 35, No. 2, 241--250 (2005; Zbl 1081.94041) Full Text: DOI
Moori, Jamshid; Rodrigues, B. G. A self-orthogonal doubly even code invariant under \(M^c L:2\). (English) Zbl 1076.05087 J. Comb. Theory, Ser. A 110, No. 1, 53-69 (2005). Reviewer: Michael Joswig (Darmstadt) MSC: 05E25 20D08 94B05 52B12 PDFBibTeX XMLCite \textit{J. Moori} and \textit{B. G. Rodrigues}, J. Comb. Theory, Ser. A 110, No. 1, 53--69 (2005; Zbl 1076.05087) Full Text: DOI
Bowert, Frank Weight and distance enumerators of codes and sphere packings. (Gewichts- und Distanzzähler von Codes und Kugelpackungen.) (German) Zbl 1105.11010 Dortmund: Univ. Dortmund, Fachbereich Mathematik (Diss.). ix, 110 p. with CD-ROM. (2004). MSC: 11F27 94B05 52C17 11H31 PDFBibTeX XMLCite \textit{F. Bowert}, Gewichts- und Distanzzähler von Codes und Kugelpackungen. Dortmund: Univ. Dortmund, Fachbereich Mathematik (Diss.) (2004; Zbl 1105.11010)
Maehara, H. On a condition for the union of spherical caps to be connected. (English) Zbl 1014.05042 J. Comb. Theory, Ser. A 101, No. 2, 264-270 (2003). Reviewer: Serguey M.Pokas (Odessa) MSC: 05C40 52A22 51E22 52C35 PDFBibTeX XMLCite \textit{H. Maehara}, J. Comb. Theory, Ser. A 101, No. 2, 264--270 (2003; Zbl 1014.05042) Full Text: DOI
Boguslavsky, Michael I. Radon transforms and packings. (English) Zbl 0984.44002 Discrete Appl. Math. 111, No. 1-2, 3-22 (2001). Reviewer: Eberhard Teufel (Stuttgart) MSC: 44A12 52C17 94B60 PDFBibTeX XMLCite \textit{M. I. Boguslavsky}, Discrete Appl. Math. 111, No. 1--2, 3--22 (2001; Zbl 0984.44002) Full Text: DOI
Elkies, Noam D. Lattices, linear codes, and invariants. I. (English) Zbl 0992.11041 Notices Am. Math. Soc. 47, No. 10, 1238-1245 (2000). Reviewer: K.Roegner (Berlin) MSC: 11H31 11H71 11H56 52C17 PDFBibTeX XMLCite \textit{N. D. Elkies}, Notices Am. Math. Soc. 47, No. 10, 1238--1245 (2000; Zbl 0992.11041)
Wenzel, Walter; Ay, Nihat; Pasemann, Frank Hyperplane arrangements separating arbitrary vertex classes in \(n\)-cubes. (English) Zbl 0984.52010 Adv. Appl. Math. 25, No. 3, 284-306 (2000). MSC: 52C35 94C30 68T05 PDFBibTeX XMLCite \textit{W. Wenzel} et al., Adv. Appl. Math. 25, No. 3, 284--306 (2000; Zbl 0984.52010) Full Text: DOI
Blinovsky, Volodia Lower bound for the linear multiple packing of the binary Hamming space. (English) Zbl 1036.94017 J. Comb. Theory, Ser. A 92, No. 1, 95-101 (2000). MSC: 94B65 52C17 94B05 PDFBibTeX XMLCite \textit{V. Blinovsky}, J. Comb. Theory, Ser. A 92, No. 1, 95--101 (2000; Zbl 1036.94017) Full Text: DOI
Bierbrauer, Jürgen; Edel, Yves Dense sphere packings from new codes. (English) Zbl 0972.52008 J. Algebr. Comb. 11, No. 2, 95-100 (2000). Reviewer: J.Schaer (Calgary) MSC: 52C17 94B75 94B05 11H31 PDFBibTeX XMLCite \textit{J. Bierbrauer} and \textit{Y. Edel}, J. Algebr. Comb. 11, No. 2, 95--100 (2000; Zbl 0972.52008) Full Text: DOI
Andreev, N. N. A spherical code. (English. Russian original) Zbl 0937.94014 Russ. Math. Surv. 54, No. 1, 251-253 (1999); translation from Usp. Mat. Nauk 54, No. 1, 255-256 (1999). Reviewer: Peter Boyvalenkov (Sofia) MSC: 94B60 52C17 PDFBibTeX XMLCite \textit{N. N. Andreev}, Russ. Math. Surv. 54, No. 1, 251--253 (1999; Zbl 0937.94014); translation from Usp. Mat. Nauk 54, No. 1, 255--256 (1999) Full Text: DOI
Agrell, Erik On the Voronoi neighbor ratio for binary linear block codes. (English) Zbl 0936.94020 IEEE Trans. Inf. Theory 44, No. 7, 3064-3072 (1998). MSC: 94B35 52C17 94B05 94A14 68U05 PDFBibTeX XMLCite \textit{E. Agrell}, IEEE Trans. Inf. Theory 44, No. 7, 3064--3072 (1998; Zbl 0936.94020) Full Text: DOI Link
Rush, J. A. Sphere packing and coding theory. (English) Zbl 0910.52016 Goodman, Jacob E. (ed.) et al., Handbook of discrete and computational geometry. Boca Raton, FL: CRC Press. CRC Press Series on Discrete Mathematics and its Applications. 917-932 (1997). Reviewer: Patric Östergård (Helsinki) MSC: 52C17 05B40 11H31 94B05 PDFBibTeX XMLCite \textit{J. A. Rush}, in: Handbook of discrete and computational geometry. Boca Raton, FL: CRC Press. 917--932 (1997; Zbl 0910.52016)
Alon, Noga Packings with large minimum kissing numbers. (English) Zbl 0894.52008 Discrete Math. 175, No. 1-3, 249-251 (1997). Reviewer: R.Dawson (Halifax) MSC: 52C17 94B05 PDFBibTeX XMLCite \textit{N. Alon}, Discrete Math. 175, No. 1--3, 249--251 (1997; Zbl 0894.52008) Full Text: DOI
Boyvalenkov, Peter G.; Danev, Danyo P.; Bumova, Silvya P. Upper bounds on the minimum distance of spherical codes. (English) Zbl 0857.94023 IEEE Trans. Inf. Theory 42, No. 5, 1576-1581 (1996). MSC: 94B65 94B60 90C27 52C15 PDFBibTeX XMLCite \textit{P. G. Boyvalenkov} et al., IEEE Trans. Inf. Theory 42, No. 5, 1576--1581 (1996; Zbl 0857.94023) Full Text: DOI
Agrell, Erik Voronoi regions for binary linear block codes. (English) Zbl 0845.94016 IEEE Trans. Inf. Theory 42, No. 1, 310-316 (1996). MSC: 94B05 94A14 52C17 PDFBibTeX XMLCite \textit{E. Agrell}, IEEE Trans. Inf. Theory 42, No. 1, 310--316 (1996; Zbl 0845.94016) Full Text: DOI Link
Cherdieu, Jean Pierre; Rolland, Robert On the number of points of some hypersurfaces in \(\mathbb{F}^n_q\). (English) Zbl 0899.94025 Finite Fields Appl. 2, No. 2, 214-224 (1996). Reviewer: G.Faina (Perugia) MSC: 94B15 51E22 52C35 94B27 PDFBibTeX XMLCite \textit{J. P. Cherdieu} and \textit{R. Rolland}, Finite Fields Appl. 2, No. 2, 214--224 (1996; Zbl 0899.94025) Full Text: DOI
Boyvalenkov, Peter; Kazakov, Peter New upper bounds for some spherical codes. (English) Zbl 0841.94038 Serdica Math. J. 21, No. 3, 231-238 (1995). MSC: 94B65 52C17 05B40 PDFBibTeX XMLCite \textit{P. Boyvalenkov} and \textit{P. Kazakov}, Serdica Math. J. 21, No. 3, 231--238 (1995; Zbl 0841.94038) Full Text: EuDML
Cohen, Gérard D.; Litsyn, Simon N.; Mattson, H. F. jun. Binary perfect weighted coverings (PWC). I: The linear case. (English) Zbl 0849.94026 Capocelli, Renato (ed.) et al., Sequences II. Methods in communication, security and computer science. Papers presented at the workshop, held June 17-21, 1991 in Positano, Italy. New York, NY: Springer-Verlag. 36-51 (1993). Reviewer: R.Rykaczewski (Gdańsk) MSC: 94B75 11T71 52C17 PDFBibTeX XMLCite \textit{G. D. Cohen} et al., in: Sequences II. Methods in communication, security and computer science. Papers presented at the workshop, held June 17-21, 1991 in Positano, Italy. New York, NY: Springer-Verlag. 36--51 (1993; Zbl 0849.94026)
Kleinschmidt, Peter; Schwartz, Niels; Sturmfels, Bernd Unimodular fans, linear codes, and toric manifolds. (English) Zbl 0756.14029 Discrete and computational geometry, Proc. DIMACS Spec. Year Workshops 1989-90, DIMACS, Ser. Discret. Math. Theor. Comput. Sci. 6, 179-186 (1991). MSC: 14M25 52B11 94B27 94B05 PDFBibTeX XMLCite \textit{P. Kleinschmidt} et al., in: Discrete and computational geometry: Papers from the DIMACS special year. Proceedings of workshops, held at DIMACS from September 1989 through August 1990. Providence, RI: American Mathematical Society; New York: Association for Computing Machinery. 179--186 (1991; Zbl 0756.14029)
Schulte, Egon On a class of abstract polytopes constructed from binary codes. (English) Zbl 0717.94010 Discrete Math. 84, No. 3, 295-301 (1990). Reviewer: D.Jungnickel MSC: 94B05 52B99 94B15 06A06 PDFBibTeX XMLCite \textit{E. Schulte}, Discrete Math. 84, No. 3, 295--301 (1990; Zbl 0717.94010) Full Text: DOI
Conway, J. H.; Sloane, N. J. A. A new upper bound for the minimum of an integral lattice of determinant 1. (English) Zbl 0709.11030 Bull. Am. Math. Soc., New Ser. 23, No. 2, 383-387 (1990). Reviewer: M.Peters MSC: 11E25 11H31 94B05 11E41 11F27 52C17 PDFBibTeX XMLCite \textit{J. H. Conway} and \textit{N. J. A. Sloane}, Bull. Am. Math. Soc., New Ser. 23, No. 2, 383--387 (1990; Zbl 0709.11030) Full Text: DOI
Litsyn, S. N.; Tsfasman, M. A. Constructive high-dimensional sphere packings. (English) Zbl 0638.10032 Duke Math. J. 54, 147-161 (1987). Reviewer: H.Niederreiter MSC: 11H31 52C17 94B05 PDFBibTeX XMLCite \textit{S. N. Litsyn} and \textit{M. A. Tsfasman}, Duke Math. J. 54, 147--161 (1987; Zbl 0638.10032) Full Text: DOI
Fifth international Conference on Geometry, University of Haifa. (English) Zbl 0619.51001 J. Geom. 29, 101-125 (1987). MSC: 51-06 51E30 51E10 51E05 52A10 52C17 52A40 05C35 05B07 05B15 05B05 51C05 51H10 68Q25 51A40 94B05 PDFBibTeX XMLCite J. Geom. 29, 101--125 (1987; Zbl 0619.51001) Full Text: DOI
Bos, A. Spherepackings in high-dimensional space. (English) Zbl 0448.52006 TH-Rep., Eindhoven 80-WSK-03, 23 p. (1980). MSC: 52C17 94B05 PDFBibTeX XML
Vetchinkin, N. M. The packings of uniform \(n\)-dimensional balls that are constructed on error-correcting codes. (Russian) Zbl 0501.10041 Studies in the geometry of positive quadratic forms, Uch. Zap. Ivanov. Gos. Univ. 89, 87-91 (1974). MSC: 11H31 52C07 94B05 PDFBibTeX XML