Abstract: In a home network for Internet protocol (IP) television (IPTV), a controller of an IPTV-set-top box (STB) acquires and analyzes of an operation of the home network and data packets in the network. In a home gateway (HG), the statistics are received, and the packets are decoded, and then encodes into data packets, repair packets and according to the statistics to decrease packet loss. That is, the encoded packets have additional error correction codes.

Abstract: A multi-stage decoder decodes a block of symbols, received via a noisy channel, to a codeword. The decoder includes multiple sub-decoders connected sequentially, and wherein a next sub-decoder has a slower processing time and better word error rate than a previous sub-decoder, and wherein the next sub-decoder is only executed if the previous decoder fails to decode the block sequence of symbols, and a last sub-decoder is executed until a termination condition is reached.

Abstract: A method and system manage a hierarchy of passwords for users accessing a hierarchy of access control devices. First, a codeword is acquired and a syndrome of the codeword is determined. Next, the codeword is randomly modified with a probability p to produce a modified codeword. The modified codeword is selected and assigned to a user as a password, if the modified codeword is recoverable.

Abstract: A method for authenticating biometric data. Comprising of a processor that measures the reliability of each bit in enrollment biometric data; by arranging the bits; encoding the enrollment biometric data in the decreasing order to produce an enrollment syndrome; arranging the bits in the authentication biometric; decoding the authentication enrollment syndrome to produce an estimate of the enrollment biometric data; generating an output signal indicating that the estimate of the authentication biometric data is substantially the same as the enrollment biometric data.

Abstract: A method constructs a code, wherein the code is a large-girth quasi-cyclic low-density parity-check code. A base matrix is selected for the code. A cost matrix corresponding to the base matrix is determined. A single element in the base is changed repeatedly maximize a reduction in cost. A parity check matrix is constructing for the code from the base matrix when the cost is zero, and an information block is encoded as a code word using the parity check matrix in an encoder.

Abstract: A method generates a combined-replica group-shuffled iterative decoder. First, an error-correcting code and an iterative decoder for an error-correcting code is received. Multiple group-shuffled sub-decoders for the error-correcting code are constructed, based on the iterative decoder. Then, the multiple group-shuffled sub-decoders are combined into a combined-replica group-shuffled iterative decoder.

Abstract: A block of symbols are decoded using iterative belief propagation. A set of belief registers store beliefs that a corresponding symbol in the block has a certain value. Check processors determine output check-to-bit messages from input bit-to-check messages by message-update rules. Link processors connect the set of belief registers to the check processors. Each link processor has an associated message register. Messages and beliefs are passed between the set of belief registers and the check processors via the link processors for a predetermined number of iterations while updating the beliefs to decode the block of symbols based on the beliefs at termination.

Abstract: A method generates a combined-replica group-shuffled iterative decoder, comprising. First. an error-correcting code and an iterative decoder for an error-correcting code is received by the method. Multiple group-shuffled sub-decoders for the error-correcting code are constructed, based on the iterative decoder. Then, the multiple group-shuffled sub-decoders are combined into a combined-replica group-shuffled iterative decoder.