Dynamic distributed agreement protocols in a dispersed storage network

A computing device of a dispersed storage network (DSN), the computing device comprises:

• an interface;
• memory;
• a processing module operably coupled to the memory and the interface, wherein the processing module is operable to access a set of encoded data slices by:
• performing a first distributed agreement protocol (DAP) function using a slice identifier and a first set of coefficients to identify a set of storage units of a plurality of storage units;
• performing a second DAP function using the slice identifier and a second set of coefficients to identify pillar numbers for the set of storage units, wherein a first encoded data slice of the set of encoded data slices has a first pillar number as is to be accessed via a storage unit of the set of storage units being assigned the first pillar number of the pillar numbers;
• and
• sending, via the interface, a set of data access requests to the set of storage units in accordance with the pillar numbers, wherein a data access request of the set of data access requests includes a slice name for a corresponding one of the set of encoded data slices and wherein the slice name includes one of the pillar numbers.