Parity check matrix and method of forming thereof

Error detection/correction and fault detection/recovery – Pulse or data error handling – Error/fault detection technique

Reexamination Certificate

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C714S752000, C714S762000, C714S788000, C714S794000, C714S795000, C375S262000, C375S341000

Reexamination Certificate

active

07000177

ABSTRACT:
A data transmission system is provided for transmitting user data to and receiving data from a communication channel, including a parity check matrix having M tiers, wherein M≦2, Dmin=2*M for M=1 . . . 3 or 2*M≦Dmin≦6 for M>3, wherein Dmin is the minimum Hamming distance, tc=M, wherein tc is the column weight, and cycle−4=0. A linear block encoder encodes the user data in response to the parity check matrix, and a transmitter transmits an output of the linear block encoder to the communication channel. A soft channel decoder decodes data, and a soft linear block code decoder to decode data decoded by the soft channel decoder in response to the parity check matrix.

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