Remark 4: The author is unable to deal analytically with the general case of p + l/2 where one does not have the property of symmetry. However, the case that p is close to l/2 may be tractabie an9 interesting. Linear smoothing using measurements containing correlated noise with an application to inertial navigation, " IEEE Trans. Abstract-The covering radius is given for all binary cyclic codes...

The paper introduces new bounds on the asymptotic density of parity-check matrices and the achievable rates under ML decoding of binary linear block codes transmitted over memoryless binary-input output-symmetric channels. The lower bounds on the parity-check density are expressed in terms of the gap between the channel capacity and the rate of the codes for which reliable communication is achi...

This study proposes a novel suboptimal embedding algorithm for binary messages based on a lowweight search embedding (LWSE) strategy. The suboptimal LWSE strategy involves using algorithm to perform an embedding procedure by using a parity check matrix. The optimal embedding algorithm, which is based on the maximun likelihood (ML) algorithm, aims to locate the coset leader and minimize embeddin...

A new approach for encoding one class of quasi-cyclic low-density parity-check (QC-LDPC) codes is proposed. The proposed encoding method is applicable to parity-check matrices having dual-diagonal parity structure with single column of weight three in the parity generation region. Instead of finding the parity bits directly, the proposed method finds parity bits through vector correction. While...