University of Isfahan Transactions on Combinatorics 2251-8657 2 2 2013 06 01 Convolutional cylinder-type block-circulant cycle codes 9 17 2848 10.22108/toc.2013.2848 EN Mohammad Gholami Shahrekord University Mehdi Samadieh Isfahan Mathematics House Journal Article 2012 10 29 In this paper‎, ‎we consider a class of column-weight two‎ ‎quasi-cyclic low-density parity check codes in which the girth can be large enough‎, ‎as an‎ ‎arbitrary multiple of 8‎. ‎Then we devote a convolutional form to these codes‎, ‎such that‎ ‎their generator matrix can be obtained by elementary row and‎ ‎column operations on the parity-check matrix‎. ‎Finally‎, ‎we show that the free distance of the convolutional codes is equal to the minimum distance of‎ ‎their block counterparts‎. https://toc.ui.ac.ir/article_2848_9c85537997b5b347da497a3d38139266.pdf