Geodesic
A remark on an upper bound on the Hermite constant for the densest lattice packings of spheres
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 5, Tome 82 (1979), pp. 147-148
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We present a new variant of the proof of the upper bound on the Hermite constant $\gamma_n$. The bound as $n\to\infty$ is asymptotically equivalent to Blichfeldt's known bound. 
@article{ZNSL_1979_82_a9,
     author = {B. F. Skubenko},
     title = {A remark on an upper bound on the {Hermite} constant for the densest lattice packings of spheres},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {147--148},
     year = {1979},
     volume = {82},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a9/}
}
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B. F. Skubenko. A remark on an upper bound on the Hermite constant for the densest lattice packings of spheres. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 5, Tome 82 (1979), pp. 147-148. http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a9/