A method and electronic device for encoding data are provided. The method includes acquiring sets xj (j=1 . . . k) and yi (i=1 . . . p) in generating a Generator Cauchy Matrix, wherein k denotes a number of information symbols, and p denotes a number of parity symbols, generating a matrix A1 using the sets xj and yi, wherein elements of the matrix A1 are obtained by 1 x j + y i and have weight of Galois field, and the matrix A1 has a size of P×K, generating a set K, wherein all elements of the set K are not included in the sets xj and yi, updating the set xj by changing at least one element of the set xj for an element of the set K, updating the set yi by changing at least one element of the set yi for the set K element, generating the Generator Cauchy Matrix using the updated sets xj and yi, and encoding data including the information symbols and parity symbols using the Generator Cauchy Matrix.