A wireless system for allocating a predetermined number of subcarriers as a plurality of resource blocks to terminals includes a base station that communicates with the terminals, wherein the base station sets M resource blocks adjacent to one another in a frequency domain as a resource block group, M being a positive integer, and uses a first communication method and a second communication method, the first communication method repeatedly and sequentially classifying the resource block group into M kinds of subsets from a first subset to an M-th subset, and the second communication method allocating two resource blocks, which are separated by a predetermined distance in the frequency domain, to a same terminal, wherein the predetermined distance being an integer multiple of M times M.