Cycle slip detection and correction

A method of reading data from a storage medium, including cycle slip detection and correction, the method comprising:

• establishing a low density parity check code (LDPC) matrix for use in decoding data, the LDPC matrix including a first area for cycle slip detection and correction, the first area satisfying a set of conditions such that a cycle slip at a particular position creates a pattern of parity check errors indicative of the position and polarity of the cycle slip;
• reading user data and parity data from the storage medium, including decoding the user data and the parity data according to the LDPC matrix;
• and
• wherein decoding includes, upon detecting a pattern of parity check errors indicative of the position and polarity of a detected cycle slip, correcting the detected cycle slip.

A cycle slip detection and correction system for reading data from a storage medium, the system comprising:

• a storage hardware component configured to:
• establish a low density parity check code (LDPC) matrix for use in decoding data, the LDPC matrix including a first area for cycle slip detection and correction, the first area satisfying a set of conditions such that a cycle slip at a particular position creates a pattern of parity check errors indicative of the position and polarity of the cycle slip;
• read user data and parity data from the storage medium, including decoding the user data and the parity data according to the LDPC matrix;
• and
• wherein decoding includes, upon detecting a pattern of parity check errors indicative of the position and polarity of a detected cycle slip, correcting the detected cycle slip.