Chromium carbide precipitation is normally called sensitization.
With the austenitic grades of stainless steel, chromium carbides can precipitate on the grain boundaries if the steel is held in the temperature range of 800-1500F. Normally, the weld thermal cycles are too short for this sensitization to occur, though. It is not the chromium carbides themselves that lower the corrosion resistance, but the region immediately adjacent to the carbides that reduce the corrosion resistance. Sensitization, or chromium carbide precipitation, makes the alloy very susceptible to intergranular attack (IGA).
The kinetics of sensitization is a function of time, temperature, and carbon content of the steel. Higher carbon contents will have less time in the sensitization temperature range than the lower carbon grades. So, a way to avoid CCP (sensitization), would be to use a low carbon grade or a stabilized grade of stainless steel (example is 321 or 347).