Abstract: Methods and circuits detect a burst error in a block of data bits. Coset calculator circuits calculate coset leaders from a syndrome generated from the data bits of the block. The coset calculator circuits calculate the coset leaders for each frame of the data bits. For each frame, comparator circuits input a corresponding coset leader of the coset leaders. Each comparator circuit determines, for each burst-length portion of one or more burst-length portions within the corresponding coset leader, whether the coset bits of the corresponding coset leader are zero except for the coset bits within the burst-length portion. An error-locator circuit outputs an error vector describing the burst error in the block in response to one of the comparator circuits determining that the coset bits of the corresponding coset leader are zero except for the coset bits within one of the burst-length portions within the corresponding coset leader.

Abstract: Methods and circuits process a data block of first bits. A circuit includes a register and a parallel combiner. The register is configured to store second bits. The second bits are iteratively a partial parity for each of multiple frames of the data block. The parallel combiner is coupled to the register and configured to generate a combination of bits from third bits and the second bits from the register. These third bits are iteratively those of the first bits within each of the frames of the data block. The circuit also includes respective exclusive-or circuits associated with the second bits. These exclusive-or circuits are coupled to the parallel combiner and the register. The respective exclusive-or circuit for each second bit is configured to generate the second bit from the combination of bits.

Abstract: Decoder circuits and methods down-sample the samples that oversample an input signal having a differential Manchester encoding. A first input port receives first, second, and third samples. A second input port receives a state indicating whether a clock transition or a data transition precedes the first, second, and third samples. A third input port receives first, second, and third down-sampled bits. A detector circuit is configured to generate a detection signal indicating a presence of a short pulse within the samples when the state indicates the clock transition and the second and third down-sampled bits are equal and differ from the first down-sampled bit and the third sample. A generator circuit is configured to generate a fourth down-sampled bit that equals the third sample when the detection signal indicates the presence of the short pulse, and that equals the second sample when the detection signal does not indicate the presence.

Abstract: Decoder circuits and methods down-sample the samples that oversample an input signal having a differential Manchester encoding. A first input port receives first, second, and third samples. A second input port receives a state indicating whether a clock transition or a data transition precedes the first, second, and third samples. A third input port receives first, second, and third down-sampled bits. A detector circuit is configured to generate a detection signal indicating a presence of a short pulse within the samples when the state indicates the clock transition and the second and third down-sampled bits are equal and differ from the first down-sampled bit and the third sample. A generator circuit is configured to generate a fourth down-sampled bit that equals the third sample when the detection signal indicates the presence of the short pulse, and that equals the second sample when the detection signal does not indicate the presence.