Abstract: A partial concatenated coding system using an algebraic code and LDPC code is disclosed. The partial concatenated coding system includes an ECC encoder, a received codeword monitoring module and an ECC decoder. The ECC encoder has a LDPC code encoding module and an algebraic code encoding module. The ECC decoder has a LDPC code decoding module and an algebraic code decoding module. Comparing with conventional concatenating coding systems, the present invention has advantages of less spare spaces, better error-correcting performance, lower hardware complexity, better decoding throughput and fixable code length.

Abstract: A data managing method, and a memory control circuit unit and a memory storage apparatus using the same are provided. The data managing method including: reading a first data stream from a first physical erasing unit according to a first reading command, wherein the first data stream includes first user data, a first error correcting code and a first error detecting code. The method also includes: using the first error correcting code and error detecting code to decode the first user data and determining whether the first user data is decoded successfully. The method further includes: if the first user data is decoded successfully, transmitting corrected user data obtained by correctly decoding the first user data to the host system in response to the first reading command.

Abstract: A data managing method, and a memory control circuit unit and a memory storage apparatus using the same are provided. The data managing method including: reading a first data stream from a first physical erasing unit according to a first reading command, wherein the first data stream includes first user data, a first error correcting code and a first error detecting code. The method also includes: using the first error correcting code and error detecting code to decode the first user data and determining whether the first user data is decoded successfully. The method further includes: if the first user data is decoded successfully, transmitting corrected user data obtained by correctly decoding the first user data to the host system in response to the first reading command.

Abstract: A decoding algorithm for quadratic residue codes applicable to the decoding of all quadratic residue codes is provided. The decoding algorithm employs digital signals to obtain a plurality of known syndromes. These known syndromes are used to calculate a plurality of unknown syndromes. The inverse-free Berlekamp-Massey algorithm is then used to calculate the error polynomial, after which the Chien search algorithm is used to determine the error locations. Adjustments can then be made to the digital signal bits corresponding to the error locations to obtain the correct code.