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A random construction of bipolar sensing matrices based on binary linear codes is introduced and its RIP (restricted isometry property) is analyzed based on an argument on the ensemble average of the weight distribution of binary linear codes.
This paper presents a method to construct irregular structured low-density parity-check (LDPC) codes based on choosing different identity matrices. The parity-check matrix of the proposed code can be easily generated with the flexible parameters such as code rate, block length or sparsity. The proposed code is well structured which can provide a low-complexity implementation. The encoder of the proposed...
In the context of error control in random linear network coding, it is useful to construct codes that comprise well-separated collections of subspaces of a vector space over a finite field. In this paper, the metric used is the so-called ldquoinjection distance,rdquo introduced by Silva and Kschischang. A Gilbert-Varshamov bound for such codes is derived. Using the code-construction framework of Etzion...
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