Abstract: Values are grouped into a first set of groupings of values. Based on inner codes, the number of groupings in the first set of groupings that have at least one erroneous value is determined. If the number of groupings in the first set of groupings that have an erroneous value is fewer than a maximum number of groupings that can be corrected by outer codes, a seek operation is begun. During the seek operation, the outer codes are used to detect and correct the erroneous values that were produced during the reading of values. In other aspects, a parity section for a data section of a data storage device is dirtied before writing any data to the data section such that if writing to the data section is interrupted, the parity section will indicate that it should not be used to correct data read from the data section.

Abstract: Values are grouped into a first set of groupings of values. Based on inner codes, the number of groupings in the first set of groupings that have at least one erroneous value is determined. If the number of groupings in the first set of groupings that have an erroneous value is fewer than a maximum number of groupings that can be corrected by outer codes, a seek operation is begun. During the seek operation, the outer codes are used to detect and correct the erroneous values that were produced during the reading of values. In other aspects, a parity section for a data section of a data storage device is dirtied before writing any data to the data section such that if writing to the data section is interrupted, the parity section will indicate that it should not be used to correct data read from the data section.

Abstract: The present invention is all error detection and correction scheme that enables the use of Horner's algorithm for the computation of EDC syndromes from the computed error pattern. Specifically, “transformed” EDC syndromes are computed during the read back of data and parity from the medium. The transformed syndromes are values of the polynomial whose coefficients occur in reverse order from that of the EDC codeword polynomial. In essence, by reversing the order of the coefficients, the Chien search processes the terms in descending order which is the right direction for Horner evaluation.

Abstract: An interleaver has an input multiplexer that receives a data sequence at an interleaver input and that separates the data sequence into multiple data sub-blocks. The interleaver has a linear feedback shift register that generates an input address sequence. The interleaver has adder circuits that generate output address sequences associated with each data sub-block. The interleaver has memory that stores the data sub-blocks at addresses controlled by the input address sequence. The memory reproduces each data sub-block in an interleaved sequence controlled by the associated output address sequence. The interleaver has an output multiplexer that assembles the interleaved sequences to provide an interleaver output.

Abstract: The present invention is all error detection and correction scheme that enables the use of Horner's algorithm for the computation of EDC syndromes from the computed error pattern. Specifically, “transformed” EDC syndromes are computed during the read back of data and parity from the medium. The transformed syndromes are values of the polynomial whose coefficients occur in reverse order from that of the EDC codeword polynomial. In essence, by reversing the order of the coefficients, the Chien search processes the terms in descending order which is the right direction for Horner evaluation.

Abstract: The present invention is an error detection and correction scheme that enables the use of Horner's algorithm for the computation of EDC syndromes from the computed error pattern. Specifically, “transformed” EDC syndromes are computed during the read back of data and parity from the medium. The transformed syndromes are values of the polynomial whose coefficients occur in reverse order from that of the EDC codeword polynomial. In essence, by reversing the order of the coefficients, the Chien search processes the terms in descending order which is the right direction for Horner evaluation.

Abstract: An interleaver has an input multiplexer that receives a data sequence at an interleaver input and that separates the data sequence into multiple data sub-blocks. The interleaver has a linear feedback shift register that generates an input address sequence. The interleaver has adder circuits that generate output address sequences associated with each data sub-block. The interleaver has memory that stores the data sub-blocks at addresses controlled by the input address sequence. The memory reproduces each data sub-block in an interleaved sequence controlled by the associated output address sequence. The interleaver has an output multiplexer that assembles the interleaved sequences to provide an interleaver output.

Abstract: A second stage SOVA detector comprises a dynamic state reordering block with inputs that receive absolute state domain data from a first stage SOVA detector. The second stage SOVA detector provides relative state domain data outputs and selection bit outputs. The second stage SOVA detector comprises pipeline registers. The pipeline registers receive the relative state domain data outputs and the selection bit outputs and provide pipelined outputs. The second stage SOVA detector comprises a reliability update-register exchange unit receiving the pipelined outputs and providing detected data bits and reliabilities.

Abstract: The present invention is an error detection and correction scheme that enables the use of Horner's algorithm for the computation of EDC syndromes from the computed error pattern. Specifically, “transformed” EDC syndromes are computed during the read back of data and parity from the medium. The transformed syndromes are values of the polynomial whose coefficients occur in reverse order from that of the EDC codeword polynomial. In essence, by reversing the order of the coefficients, the Chien search processes the terms in descending order which is the right direction for Horner evaluation.

Abstract: The present invention is an error detection and correction scheme that enables the use of Horner's algorithm for the computation of EDC syndromes from the computed error pattern. Specifically, “transformed” EDC syndromes are computed during the read back of data and parity from the medium. The transformed syndromes are values of the polynomial whose coefficients occur in reverse order from that of the EDC codeword polynomial. In essence, by reversing the order of the coefficients, the Chien search processes the terms in descending order which is the right direction for Horner evaluation.