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A new upper bound for the minimum of an integral lattice of determinant 1
Author(s):
J. H.
Conway;
N. J. A.
Sloane
Journal:
Bull. Amer. Math. Soc.
23
(1990),
383-387.
MSC (1985):
Primary 11E25, 11E41, 11H31, 52A45, 94B05
Erratum:
Bull. Amer. Math. Soc. (N.S.), Volume 24, Number 2 (1991), 479--479
MathSciNet review:
1046123
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Additional information
References:
- 1.
- R. E. Borcherds, The Leech lattice and other lattices, Ph.D. dissertation, Univ. of Cambridge, 1984. MR 791880
- 2.
- J. H. Conway, A. M. Odlyzko, and N. J. A. Sloane, Extremal self-dual lattices exist only in dimensions 1 to 8, 12, 14, 15, 23 and 24, Mathematika 25 (1978), 36-43. MR 505767
- 3.
- J. H. Conway and V. Pless, On the enumeration of self-dual codes, J. Combin. Theory Ser. A 28 (1980), 26-53. MR 558873
- 4.
- J. H. Conway and N. J. A. Sloane, Sphere packings, lattices and groups, Springer-Verlag, New York, 1988. MR 920369
- 5.
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- 6.
- F. J. MacWilliams and N. J. A. Sloane, The theory of error-correcting codes, North-Holland, Amsterdam, 1977. MR 465509
- 7.
- C. L. Mallows, A. M. Odlyzko, and N. J. A. Sloane, Upper bounds for modular forms, lattices, and codes, J. Algebra 36 (1975), 68-76. MR 376536
- 8.
- C. L. Mallows and N. J. A. Sloane, An upper bound for self-dual codes, Inform, and Control 22 (1973), 188-200. MR 414223
- 9.
- R. J. McEliece, E. R. Rodemich, H. C. Rumsey, Jr., and L. R. Welch, New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities, IEEE Trans. Inform. Theory 23 (1977), 157-166. MR 439403
- 10.
- J. Milnor and D. Husemoller, Symmetric bilinear forms, Springer-Verlag, New York, 1973. MR 506372
- 11.
- C. L. Siegel, Berechnung von Zetafunktionen an ganzzahligen Stellen, Göttingen Nach. 10 (1969), 87-102. (Gesam. Abh. vol. IV, pp. 82-97.) MR 252349
- 12.
- E. T. Whittaker and G. N. Watson, A course of modern analysis, 4th ed., Cambridge Univ. Press, 1963. MR 1424469
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Additional Information:
DOI:
10.1090/S0273-0979-1990-15940-3
PII:
S 0273-0979(1990)15940-3
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