Results 261 to 270 of about 1,655,518 (300)

On spectral design methods for quasi-cyclic codes

2016 IEEE International Symposium on Information Theory (ISIT), 2016
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 matrices is shown to be the smallest possible.
Ron M. Roth, Alexander Zeh
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Quasi-static reversed cyclic testing of multi-culm bamboo members with steel connectors

, 2020
This study experimentally investigates the axial response of bamboo to steel connections under quasi-static reversed cyclic loading. It examines three different connection configurations: (Type A) plain bolted; (Type B) transversely confined by hose ...
Nischal P. N. Pradhan, T. Paraskeva, E. Dimitrakopoulos   +2 more
semanticscholar   +1 more source

On the Girth of Quasi-Cyclic Protograph LDPC Codes

IEEE Transactions on Information Theory, 2012
In this paper, we study the relationships between the girth of the Tanner graph of a quasi cyclic (QC) protograph low-density parity-check (LDPC) code, on one hand, and the lifting degree and the size and the structure of the base graph, on the other hand.
Mehdi Karimi, Amir H. Banihashemi
openaire   +1 more source

McEliece needs a Break - Solving McEliece-1284 and Quasi-Cyclic-2918 with Modern ISD

IACR Cryptology ePrint Archive, 2021
Andre Esser, Alexander May, Floyd Zweydinger   +2 more
semanticscholar   +1 more source

A note on quasi-cyclic codes

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

Quaternary quasi-cyclic codes

Applied Mathematics-A Journal of Chinese Universities, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pei, Junying, Zhang, Xuejun
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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.
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Projective spaces and quasi-cyclic codes

Ars Comb., 1998
The 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
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Paracyclic and quasi-cyclic groups

Annali di Matematica Pura ed Applicata, 1986
Let 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
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On generalizations of skew quasi-cyclic codes

2020
Summary: 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.
GÜRSOY, Fatmanur, BEDİR, Sümeyra, Siap, Irfan   +2 more
openaire   +2 more sources