Abstract
We derive a new existence condition for Cameron–Liebler line classes in \(PG(3,q)\). As an application, we obtain the characterization of Cameron–Liebler line classes in \(PG(n,4),\,n\ge 3\).
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Acknowledgments
We are very grateful to Frédéric Vanhove for the useful references, and to Sergey Goryainov for his assistance in the calculations for Table 3. The work is supported by the Program of Joint Research of the Ural and Siberian Divisions of the RAS (pr. 12-C-1-1018), by the RFBR (pr. 12-01-31098). ALG is also supported by the RFBR (pr. 12-01-00012), by the Grant of the President of Russian Federation for young scientists (pr. MK-1719.2013.1), and by the Joint Competition of RFBR and the National Natural Science Foundation of China (pr. 12-01-91155). IYM is supported by the RFBR (pr. 12-01-00448-a, 13-01-00463).
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Communicated by K. Metsch.
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Gavrilyuk, A.L., Mogilnykh, I.Y. Cameron–Liebler line classes in \(PG(n,4)\) . Des. Codes Cryptogr. 73, 969–982 (2014). https://doi.org/10.1007/s10623-013-9838-z
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DOI: https://doi.org/10.1007/s10623-013-9838-z