Results 261 to 270 of about 1,162,650 (287)
Some of the next articles are maybe not open access.
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
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
Paracyclic and quasi-cyclic groups
Annali di Matematica Pura ed Applicata, 1986Let G be a finite group. The authors define the multiplicity \(\gamma_ G\) of G to be the maximum of \(| (x\in G:\) \(x^ d=1)| /d\) taken over all divisors d of \(| G|\), and the cocyclicity \(\iota_ G\) as the least index in G of any cyclic subgroup of G. In earlier work [\textit{R. Dvornicich} and \textit{M. Forti}, J.
DVORNICICH, ROBERTO, FORTI, MARCO
openaire +2 more sources
International Journal of Electronics, 1983
Abstract In this note we obtain a. module characterization of quasi-cyclic codes, analogous to ideal characterization of cyclic codes. Further, a polynomial expression for the product of two quasi-cyclic codes of relatively prime length has been obtained.
BAL KISHAN DASS, SIRI KRISHAN WASAN
openaire +1 more source
Abstract In this note we obtain a. module characterization of quasi-cyclic codes, analogous to ideal characterization of cyclic codes. Further, a polynomial expression for the product of two quasi-cyclic codes of relatively prime length has been obtained.
BAL KISHAN DASS, SIRI KRISHAN WASAN
openaire +1 more source
Projective spaces and quasi-cyclic codes
Ars Comb., 1998The incidence matrix of a finite projective plane of order \(q\) can be arranged as a circulant matrix with ones on the diagonal. By appending a unit matrix one obtains a generating matrix for a binary code that is studied in the paper. It is a double circulant \([2(q^2 + q +1), q^2+ q + 1, q+2]\)-code, and, if \(q\) is odd, by omitting the odd-weight ...
T. Aaron Gulliver, Vijay K. Bhargava
openaire +2 more sources
On generalizations of skew quasi-cyclic codes
2020Summary: In the last two decades, codes over noncommutative rings have been one of the main trends in coding theory. Due to the fact that noncommutativity brings many challenging problems in its nature, still there are many open problems to be addressed.
BEDİR, Sümeyra +2 more
openaire +2 more sources
The structure of generalized quasi cyclic codes
2005The structure of generalized quasi-cyclic (GQC) codes is investigated. These are codes in which a permutation automorphism has orbits of varying lengths on the coordinate positions. A BCH-type bound is derived which is similar to that for quasi-cyclic (QC) codes.
ŞİAP, İrfan, Kulhan, Nilgün
openaire +2 more sources
2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060), 2002
In this paper, we construct quasi-cyclic Goppa (or related) codes. Some of these codes reach the parameters of best known codes. Generally, there is no known quasi-cyclic code for these lengths and dimensions.
openaire +1 more source
In this paper, we construct quasi-cyclic Goppa (or related) codes. Some of these codes reach the parameters of best known codes. Generally, there is no known quasi-cyclic code for these lengths and dimensions.
openaire +1 more source
On quasi-cyclic nilpotent Lie algebras.
1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
(σ, δ)-Skew quasi-cyclic codes over the ring Z4+uZ4\mathbb {Z}_{4}+u\mathbb {Z}_{4}
Cryptography and Communications, 2021Jian Gao, Fang-Wei Fu, Fanghui Ma
exaly
Structural properties and enumeration of quasi cyclic codes
Applicable Algebra in Engineering, Communications and Computing, 1993Jean Conan
exaly