Results 261 to 270 of about 115,969 (299)

Self-orthogonal quasi-cyclic codes

IEEE Transactions on Information Theory, 1967
A new class of linear block codes, called self-orthogonal quasi-cyclic codes, is defined. It is shown that the problem of designing these codes is equivalent to the problem of designing disjoint difference sets. As a result, several classes of optimal and near-optimal codes can be constructed analytically and other codes can be found by a computer ...
Townsend, Richard L., Weldon, Edward J. jun.   +1 more
openaire   +2 more sources

Quasi-Cyclic Codes

2014
In this chapter, we recall the main definitions concerning quasi-cyclic codes, which will be used in the remainder of the book. We introduce the class of circulant matrices, and the special class of circulant permutation matrices, together with their isomorphism with polynomials over finite fields.
openaire   +1 more source

A SPECIAL CLASS OF QUASI-CYCLIC CODES

Bulletin of the Australian Mathematical Society, 2017
We study a special class of quasi-cyclic codes, obtained from a cyclic code over an extension field of the alphabet field by taking its image on a basis. When the basis is equal to its dual, the dual code admits the same construction. We give some examples of self-dual codes and LCD codes obtained in this way.
Shi, Minjia, Tang, Jie, Ge, Maorong, Sok, Lin, Solé, Patrick   +4 more
openaire   +1 more source

Efficient Encoding of Quasi-Cyclic Low-Density Parity-Check Codes

IEEE Advanced Information Technology, Electronic and Automation Control Conference, 2018
A compact encoding process with three phases is proposed for quasi-cyclic low-density parity-check (QC-LDPC) codes. A back substitution circuit is shared at the first and third phases.
Tingting Liang, Peng Zhang, Changyin Liu, Jin Liu   +3 more
semanticscholar   +1 more source

On Spectral Design Methods for Quasi-Cyclic Codes

IEEE Transactions on Information Theory, 2019
A method is provided for constructing upper triangular square matrices over the univariate polynomial ring over a finite field, under certain constraints on the eigenvalues of the matrices. In some cases of interest, the degree of the determinant of such
R. Roth, Alexander Zeh
semanticscholar   +1 more source

Progressive Matrix Growth Algorithm for Constructing Rate-Compatible Length-Scalable Raptor-Like Quasi-Cyclic LDPC Codes

IEEE transactions on broadcasting, 2018
With the worldwide deployment and rapid development of digital television terrestrial broadcasting (DTTB) systems, the demands of diversified multimedia services from the fixed/mobile receptions increase significantly. To satisfy the various requirements
Yushu Zhang, Kewu Peng, Zhangmei Chen, Jian Song   +3 more
semanticscholar   +1 more source

Linear $$\ell $$ ℓ -intersection pairs of cyclic and quasi-cyclic codes over a finite field $${\mathbb {F}}_q$$

Journal of Applied Mathematics and Computation, 2023
Md Ajaharul Hossain, R. Bandi
semanticscholar   +1 more source

Short quasi-cyclic LDPC codes from convolutional codes

2009 IEEE International Symposium on Information Theory, 2009
We search for good regular quasi-cyclic (QC) LDPC codes with J = 2 ones in each column. In order to simplify the search, QC LDPC codes are represented in the form of tail-biting (TB) convolutional codes. A modified BEAST algorithm is used for finding the free distance (minimum distance) and the girth of both parent convolutional and block LDPC codes ...
Irina E. Bocharova, Boris D. Kudryashov, Roman V. Satyukov, Stephan Stiglmayry   +3 more
openaire   +1 more source

New codes from chains of quasi-cyclic codes

Proceedings. International Symposium on Information Theory, 2005. ISIT 2005., 2005
Well known constructions are applied to chains of quasi-cyclic codes in order to achieve new codes that improve on best known bounds on the minimum distance. These techniques have previously been successfully applied to chains of cyclic and algebraic-geometric codes.
M. Grassl, G. White
openaire   +1 more source

On the locality of quasi-cyclic codes over finite fields

Designs, Codes and Cryptography, 2022
Charul Rajput, Maheshanand Bhaintwal
semanticscholar   +1 more source