A Sampling Method Based on LDPC Codes

On the Grobner Basis of a Family of Quasi-Cyclic LDPC Codes

Improving the Rao-Nam secret key cryptosystem using regular EDF-QC-LDPC codes

This paper proposes an efficient joint secret key encryption-channel coding cryptosystem, based on regular Extended Difference Family Quasi-Cyclic Low-Density Parity-Check codes. The key length of the proposed cryptosystem decreases up to 85 percent using a new efficient compression algorithm. Cryptanalytic methods show that the improved cryptosystem has a significant security advantage over Ra...

On Array-based LDPC Codes in Channels With Varying Sampling Rate

We describe a method for enhancing synchronization error correction properties of an array-based LDPC code. The proposed method is based on code expurgation whereby a linear subcode is retained for message encoding and the remaining input bits are used for protection against synchronization errors. The method is easy to implement and incurs a minimal loss in the rate.

Search Based Weighted Multi-Bit Flipping Algorithm for High-Performance Low-Complexity Decoding of LDPC Codes

In this paper, two new hybrid algorithms are proposed for decoding Low Density Parity Check (LDPC) codes. Original version of the proposed algorithms named Search Based Weighted Multi Bit Flipping (SWMBF). The main idea of these algorithms is flipping variable multi bits in each iteration, change in which leads to the syndrome vector with least hamming weight. To achieve this, the proposed algo...

On the non-existance for quantum LDPC codes of type IEEE802.16e with rates 1/2 and 2/3B

In this paper, we discuss a construction of CSS codes derived from pairs of practical irregular LDPC codes. Intersection studies between quantum error-correcting codes and LDPC codes are current hot research topics [1], [3], [4], [5], [6], [7], [8], [9]. One of aims of quantum error-correcting code theory is to construct quantum error-correcting codes with small length and high error-correcting...