A double error correcting system is used in a digital signal reproducing apparatus, which is capable of correcting errors in two information vectors (information words) among a plurality of information vectors within one block by use of elements in a small number of correcting matrices and by using a memory device having a small memory capacity. A register is not required for temporarily storing the operational result obtained half-way between a plurality of performed operations. Instead, corrected information vectors are obtained from a memory circuit.