Results 251 to 260 of about 1,655,518 (300)

On quasi-cyclic codes

Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252), 2002
Many binary quasi-cyclic codes have a better minimum distance than other known linear codes with the same parameters. We present 43 new quasi-cyclic codes, which improve on the parameters of previously found quasi-cyclic codes. Five of them even improve the lower bound on the minimum distance for linear codes.
P. Heijnen, H. van Tilborg, S. Weijs
openaire   +1 more source

1-Generator Quasi-Cyclic Codes

Journal of Systems Science and Complexity, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junying Pei, Xuejun Zhang
exaly   +3 more sources

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

Binary Quasi-Cyclic Goppa Codes

Designs, Codes and Cryptography, 2000
A class of quasi-cycic Goppa codes containing irreducibles codes, and partially split ones, is defined. A necessary and sufficient condition for a Goppa code to be quasi-cyclic is given. One more sufficient condition is derived on the defining polynomial of the Goppa code.
Grégoire Bommier, Francis Blanchet
openaire   +1 more source

Skew quasi cyclic codes over 𝔽q + v𝔽q

Journal of Algebra and its Applications, 2019
In this work, skew quasi cyclic codes over [Formula: see text], where [Formula: see text] are considered. The generating set for one generator skew quasi cyclic codes over [Formula: see text] is also determined.
M. Özen, N. T. Özzaim, H. Ince
semanticscholar   +1 more source

Interpolative Chatterjea and cyclic Chatterjea contraction on quasi-partial $b$-metric space

AIMS Mathematics, 2021
: The fixed point results for Chatterjea type contraction in the setting of Complete metric space exists in literature. Taking this approach forward Karapinar gave the concept of cyclic Chatterjea contraction mappings.
P. Gautam, V. Mishra, Rifaqat Ali, Swapnil Verma   +3 more
semanticscholar   +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

Anti Quasi-Cyclic LDPC Codes

IEEE Communications Letters, 2018
Low-density parity-check (LDPC) codes based on affine permutation matrices, APM-LDPC codes, have been attracted recently, because of some advantages rather than QC-LDPC codes in minimum-distance, cycle distribution and error-rate performance. In this letter, circulant and anti-circulant permutation matrices are used to define a class of LDPC codes ...
Zahra Gholami, Mohammad Gholami
openaire   +1 more source

Optimal ternary quasi-cyclic codes

Designs, Codes and Cryptography, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Phil P. Greenough, Ray Hill
openaire   +2 more sources

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 ...
Richard L. Townsend, Edward J. Weldon Jr.   +1 more
openaire   +2 more sources