This study proposes architectural solutions and operations for the rapid implementation of distributed associative operations in supercomputers. The operations are carried out by means of interactions between supercomputer devices using wireless optical links. Some operations result in improved distributed versions of the local operations of associative memory devices and associative processors. The operations for distributed fast digital calculations are also included. The operations for analog-digital counting are proposed for quick counting the number of records in distributed big data. The structure of the connections between devices can be completely changed in comparable time to the execution time of the processor command.