An accessing/transferring apparatus has a first memory having multiple memory banks, each of the memory banks having multiple logical memory sections, each of the logical memory sections forming a memory matrix; a memory controller that uses the page-mode function or alternate-bank-access function of the first memory to write the data of the error correction block into the logical memory sections along a column direction; and an error correction decoder using the page-mode function or alternate-bank-access function of the first memory to access the data of the error correction block from the logical memory sections along the row direction. The present invention uses the features of a dynamic random access memory (DRAM), such as page-mode function and alternate-bank-access function, and the data arrangement of the memory to improve the access speed of the memory to increase the accessing efficiency of optical data.