Energy Interdependence

The rapid pace of growth in China's total energy consumption over the past decade and the seemingly unrestrained rise of oil prices have generated a critical mass of discussion about China's energy security. The principle concern over energy security in China is the perception that the Chinese economy is highly dependent on a stable supply of energy and cannot tolerate the slightest interruption or shortfall

On the Fourier Spectra of the Infinite Families of Quadratic APN Functions

It is well known that a quadratic function defined on a finite field of odd degree is almost bent (AB) if and only if it is almost perfect nonlinear (APN). For the even degree case there is no apparent relationship between the values in the Fourier spectrum of a function and the APN property. In this article we compute the Fourier spectrum of the new quadranomial family of APN functions. With this result, all known infinite families of APN functions now have their Fourier spectra and hence their nonlinearities computed.Comment: 12 pages, submitted to Adavances in the Mathematics of communicatio