This paper describes recent results obtained by the Census Bureau Confidentiality Staff in its research into disclosure avoidance methods for publicly released tabular data. Tabular data can be in the form of frequency counts where a population is cross-classified by specified characteristics, for example, age by sex. Each cell contains the number of individuals (or t households, etc.) belonging to that cell. Tabular data can also be in the form of amounts where each cell contains the cross-classified aggregate total of some variable, such as total payroll at the state level displayed for SIC by county. A major goal of the research described here is the development of improved disclosure avoidance procedures for frequency count data for the 1990 Decennial Censuses. Procedures developed for frequency count data can be applied to tables of amounts (and conversely). However, the notions of what constitutes (1) a disclosure and (2) adequate protection are quite different in each instance. The discussion in this paper will be couched in terms of frequency count data with the understanding that the basic structures can be applied to tables of amounts as appropriate.