This paper generalizes Elkies’ construction of error-correcting nonlinear codes found in [N. Elkies, Excellent nonlinear codes from modular curves, in: Proceedings of the 33rd Annual ACM Symposium on the Theory of Computing, STOC’01, Hersonissos, Crete, Greece, 2001, pp. 200–208]. The generalization produces a precise average code size over codes in the new construction. The result is a larger ...

1 Centre for Research in Environmental Epidemiology, Municipal Institute of Medical Research, Barcelona, Spain. 2 Occupational and Environmental Epidemiology Branch, Division of Cancer Epidemiology and Genetics, National Cancer Institute, Bethesda, MD. 3 Department of Environmental Chemistry, Institute of Chemical and Environmental Research (CSIC), Barcelona, Spain. 4 Department of Preventive M...

In the context of conformal gravity with spontaneously broken local conformal invariance we prove a non-renormalization theorem for any fixed value of the cosmological constant and we study the classical stability of the background solutions which correspond to maximally symmetric spaces. (Published in Nuclear Physics B261 (1985) pp. 157-171) * Work supported in part by the Department of Energy...