Geodesic
Estimates of lengths of shortest nonzero vectors in some lattices, II
Diskretnaya Matematika, Tome 33 (2021) no. 2, pp. 117-140

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In 1988, Friese et al. put forward lower estimates for the lengths of shortest nonzero vectors for “almost all” lattices of some families in the dimension 3. In 2004, the author of the present paper obtained a similar result for the dimension 4. Here by means of results obtained in part of the paper we show that these estimates also hold in the dimension 5.
Keywords: lattice, shortest nonzero vectors, Minkowski successive minima. 
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     author = {A. S. Rybakov},
     title = {Estimates of lengths of shortest nonzero vectors in some lattices, {II}},
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A. S. Rybakov. Estimates of lengths of shortest nonzero vectors in some lattices, II. Diskretnaya Matematika, Tome 33 (2021) no. 2, pp. 117-140. http://geodesic.mathdoc.fr/item/DM_2021_33_2_a8/