A method includes receiving a request to access a desired block of memory. The request includes an effective address that includes an effective segment identifier (ESID) and a linear address, the linear address comprising a most significant portion and a byte index. Locating an entry, in a buffer, the entry including the ESID of the effective address. Based on the entry including a radix page table pointer (RPTP), performing, using the RPTP to locate a translation table of a hierarchy of translation tables, using the located translation table to translate the most significant portion of the linear address to obtain an address of a block of memory, and based on the obtained address, performing the requested access to the desired block of memory.