A028921 Determinant of n-dimensional laminated lattice Lambda(n) (non-integral beyond the entries shown).

1, 4, 12, 32, 64, 128, 192, 256, 256, 512, 768, 1024, 1024, 1024, 768, 512, 256, 256, 192, 128, 64, 32, 12, 4, 1, 2, 3, 4, 4, 4, 3, 2, 1, 1

Offset

0,2

Comments

The finite sequence "with first half ... 1, 4, 12, 32, 64, 128, 192, 256, 256, 512, 768, 1024, 1024, 1024, 768, 512, 256" is mentioned in Section VI.F, page 1771, of Forney (1994) and also in Khandani and Esmaeili (2001). - N. J. A. Sloane, Mar 28 2019

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 158.

G. D. Forney, Density/length profiles and trellis complexity of lattices, IEEE Trans. Information Theory, Vol 40, #6, Nov 1994, pp. 1753-1772.

Khandani, Amir K., and Morteza Esmaeili. "Successive Minimization of the State Complexity of the Self-dual Lattices Using Korkin-Zolotarev Reduced Basis." Designs, Codes and Cryptography 24.2 (2001): 145-158.

Links

Table of n, a(n) for n=0..33.

Crossrefs

Sequence in context: A161217 A152527 A005104 * A028922 A066150 A233458

Adjacent sequences: A028918 A028919 A028920 * A028922 A028923 A028924

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved