Krotov, Denis S. Projective tilings and full-rank perfect codes. (English) Zbl 1525.94068 Des. Codes Cryptography 91, No. 10, 3293-3303 (2023). Reviewer: Nikolay Yankov (Shumen) MSC: 94B25 05B45 PDFBibTeX XMLCite \textit{D. S. Krotov}, Des. Codes Cryptography 91, No. 10, 3293--3303 (2023; Zbl 1525.94068) Full Text: DOI arXiv
Shi, Minjia; Xia, Yuhong; Krotov, Denis S. A family of diameter perfect constant-weight codes from Steiner systems. (English) Zbl 07730227 J. Comb. Theory, Ser. A 200, Article ID 105790, 20 p. (2023). MSC: 94Bxx 05Bxx 05Cxx PDFBibTeX XMLCite \textit{M. Shi} et al., J. Comb. Theory, Ser. A 200, Article ID 105790, 20 p. (2023; Zbl 07730227) Full Text: DOI arXiv
Shi, Minjia; Krotov, Denis S. An enumeration of 1-perfect ternary codes. (English) Zbl 1519.94239 Discrete Math. 346, No. 7, Article ID 113437, 16 p. (2023). Reviewer: Nikolay Yankov (Shumen) MSC: 94B05 PDFBibTeX XMLCite \textit{M. Shi} and \textit{D. S. Krotov}, Discrete Math. 346, No. 7, Article ID 113437, 16 p. (2023; Zbl 1519.94239) Full Text: DOI arXiv
Krotov, Denis S. Perfect colorings of the infinite square grid: coverings and twin colors. (English) Zbl 1511.05079 Electron. J. Comb. 30, No. 2, Research Paper P2.4, 59 p. (2023). MSC: 05C15 05C70 05B05 05B30 PDFBibTeX XMLCite \textit{D. S. Krotov}, Electron. J. Comb. 30, No. 2, Research Paper P2.4, 59 p. (2023; Zbl 1511.05079) Full Text: DOI arXiv
Shi, Minjia; Li, Yaya; Cheng, Wei; Crnković, Dean; Krotov, Denis; Solé, Patrick Self-dual bent sequences for complex Hadamard matrices. (English) Zbl 1521.94144 Des. Codes Cryptography 91, No. 4, 1453-1474 (2023). MSC: 94D10 15B34 PDFBibTeX XMLCite \textit{M. Shi} et al., Des. Codes Cryptography 91, No. 4, 1453--1474 (2023; Zbl 1521.94144) Full Text: DOI
Shi, Minjia; Krotov, Denis S.; Solé, Patrick On the coset graph construction of distance-regular graphs. (English) Zbl 1527.05181 Discrete Math. 345, No. 11, Article ID 113037, 6 p. (2022). MSC: 05E30 05C12 94B15 PDFBibTeX XMLCite \textit{M. Shi} et al., Discrete Math. 345, No. 11, Article ID 113037, 6 p. (2022; Zbl 1527.05181) Full Text: DOI arXiv
Bespalov, Evgeny A.; Krotov, Denis S.; Matiushev, Aleksandr A.; Taranenko, Anna A.; Vorob’ev, Konstantin V. Perfect 2-colorings of Hamming graphs. (English) Zbl 07799184 J. Comb. Des. 29, No. 6, 367-396 (2021). MSC: 05-XX PDFBibTeX XMLCite \textit{E. A. Bespalov} et al., J. Comb. Des. 29, No. 6, 367--396 (2021; Zbl 07799184) Full Text: DOI arXiv
Shi, Minjia; Krotov, Denis S.; Solé, Patrick A new distance-regular graph of diameter 3 on 1024 vertices. (English) Zbl 1419.05220 Des. Codes Cryptography 87, No. 9, 2091-2101 (2019); correction ibid. 87, No. 9, 2103 (2019). MSC: 05E30 05C12 94B05 PDFBibTeX XMLCite \textit{M. Shi} et al., Des. Codes Cryptography 87, No. 9, 2091--2101 (2019; Zbl 1419.05220) Full Text: DOI arXiv
Krotov, Denis S. The extended 1-perfect trades in small hypercubes. (English) Zbl 1386.94109 Discrete Math. 340, No. 10, 2559-2572 (2017). MSC: 94B25 05B07 05B30 PDFBibTeX XMLCite \textit{D. S. Krotov}, Discrete Math. 340, No. 10, 2559--2572 (2017; Zbl 1386.94109) Full Text: DOI arXiv
Krotov, Denis S. On the automorphism groups of the \(\mathbb Z_2\mathbb Z_4\)-linear 1-perfect and Preparata-like codes. (English) Zbl 1379.94063 Des. Codes Cryptography 83, No. 1, 169-177 (2017). MSC: 94B25 PDFBibTeX XMLCite \textit{D. S. Krotov}, Des. Codes Cryptography 83, No. 1, 169--177 (2017; Zbl 1379.94063) Full Text: DOI arXiv
Krotov, D. S.; Vasil’eva, A. Yu. On perfect codes that do not contain Preparata-like codes. (English. Russian original) Zbl 1369.94607 Probl. Inf. Transm. 52, No. 3, 284-288 (2016); translation from Probl. Peredachi Inf. 52, No. 3, 92-96 (2016). MSC: 94B25 PDFBibTeX XMLCite \textit{D. S. Krotov} and \textit{A. Yu. Vasil'eva}, Probl. Inf. Transm. 52, No. 3, 284--288 (2016; Zbl 1369.94607); translation from Probl. Peredachi Inf. 52, No. 3, 92--96 (2016) Full Text: DOI arXiv
Krotov, Denis S. Perfect codes in Doob graphs. (English) Zbl 1348.94082 Des. Codes Cryptography 80, No. 1, 91-102 (2016). MSC: 94B05 94B25 05B40 PDFBibTeX XMLCite \textit{D. S. Krotov}, Des. Codes Cryptography 80, No. 1, 91--102 (2016; Zbl 1348.94082) Full Text: DOI arXiv
Krotov, Denis S.; Potapov, Vladimir N. Constructions of transitive Latin hypercubeatin hypercubes. (English) Zbl 1331.05045 Eur. J. Comb. 54, 51-64 (2016). MSC: 05B15 PDFBibTeX XMLCite \textit{D. S. Krotov} and \textit{V. N. Potapov}, Eur. J. Comb. 54, 51--64 (2016; Zbl 1331.05045) Full Text: DOI arXiv
Krotov, D. S.; Mogilnykh, I. Yu.; Potapov, V. N. To the theory of \(q\)-ary Steiner and other-type trades. (English) Zbl 1328.05025 Discrete Math. 339, No. 3, 1150-1157 (2016). MSC: 05B07 PDFBibTeX XMLCite \textit{D. S. Krotov} et al., Discrete Math. 339, No. 3, 1150--1157 (2016; Zbl 1328.05025) Full Text: DOI arXiv
Krotov, Denis S. A partition of the hypercube into maximally nonparallel Hamming codes. (English) Zbl 1286.05114 J. Comb. Des. 22, No. 4, 179-187 (2014). MSC: 05C65 05C70 94B05 PDFBibTeX XMLCite \textit{D. S. Krotov}, J. Comb. Des. 22, No. 4, 179--187 (2014; Zbl 1286.05114) Full Text: DOI arXiv
Krotov, Denis S. On weight distributions of perfect colorings and completely regular codes. (English) Zbl 1235.94065 Des. Codes Cryptography 61, No. 3, 315-329 (2011). MSC: 94B25 05B30 05C12 05C15 PDFBibTeX XMLCite \textit{D. S. Krotov}, Des. Codes Cryptography 61, No. 3, 315--329 (2011; Zbl 1235.94065) Full Text: DOI arXiv
Krotov, Denis S. On decomposability of 4-ary distance 2 MDS codes, double-codes, and \(n\)-quasigroups of order 4. (English) Zbl 1151.05012 Discrete Math. 308, No. 15, 3322-3334 (2008). Reviewer: Bal Kishan Dass (Delhi) MSC: 05B99 20N15 94B25 PDFBibTeX XMLCite \textit{D. S. Krotov}, Discrete Math. 308, No. 15, 3322--3334 (2008; Zbl 1151.05012) Full Text: DOI arXiv
Krotov, D. S. On diameter perfect constant-weight ternary codes. (English) Zbl 1143.94021 Discrete Math. 308, No. 14, 3104-3114 (2008). MSC: 94B25 05C70 PDFBibTeX XMLCite \textit{D. S. Krotov}, Discrete Math. 308, No. 14, 3104--3114 (2008; Zbl 1143.94021) Full Text: DOI arXiv