Using a new parity-check matrix, a class of convolutional codes with a designed free distance is introduced. This new class of codes has many characteristics of BCH block codes, therefore, we call these codes BCH convolutional codes.

In this paper, we discuss the performance of a progressive quality image transmission scheme using Unequal Error Protection (UEP) optimized LDPC codes. We show that the irregularity of LDPC codes can be optimized to provide more protection to the most sensitive bits within a codeword. Applying this in a quality progressive image transmission context, the designed code improves performance compa...

In this paper, we propose to leverage the simple and explicit parity checks inherent in low-density parity-check (LDPC) codes to realize dominant error events detection without code rate penalty. This is enabled by enforcing a very weak constraint on LDPC code parity check matrix structure. Such a constraint can be readily satisfied by most structured LDPC codes ever studied in the open literat...

1.1. Point 1: Cited Papers. Gunnam et al. claim that we did not cite correctly their work [2] and refer to other four publications of their own to provide further explanation. Actually the introductory section of our work [3] aims at providing an overview of the state-of-the-art architectures on the subject. The five works by Gunnam et al. basically propose the same LDPC architecture where the ...

In this paper, I will give a brief introduction to the theory of low-density parity-check codes, and their decoding. I will emphasize the case of correcting erasures as it is still the best understood and most accessible case. At the end of the paper, I will also describe more recent developments.

Early View (Online Version of Record published before inclusion in an issue) (/journal/10.1002/(ISSN)2161-3915/earlyview) Additional Information high-rate irregular QC-LDPC codes with applications to PR2 and EPR2 channels. Trans Emerging Tel Tech.