Results 61 to 70 of about 1,960 (155)

Convolutional cylinder-type block-circulant cycle codes [PDF]

Transactions on Combinatorics, 2013
In this paper, we consider a class of column-weight two quasi-cyclic low-density paritycheck codes in which the girth can be large enough, as an arbitrary multiple of 8. Then we devote a convolutional form to these codes, such that their generator matrix
Mohammad Gholami, Mehdi Samadieh
doaj  

Encoding of QC-LDPC Codes of Rank Deficient Parity Matrix

Journal of Engineering, 2016
the encoding of long low density parity check (LDPC) codes presents a challenge compared to its decoding. The Quasi Cyclic (QC) LDPC codes offer the advantage for reducing the complexity for both encoding and decoding due to its QC structure.
Mohammed Kasim Mohammed Al-Haddad
doaj   +2 more sources

Quasi-twisted codes as contractions of quasi-cyclic codes

Advances in Mathematics of Communications
Let \(\ell\) be a positive integer. A linear code \(C\subseteq \mathbb{F}_q^{m\ell}\) is called a \(\lambda\)-quasi-twisted (\(\lambda\) -QT) code of index \(\ell\) and co-index \(m\) if it is invariant under the \(\lambda\)-constashift of codewords by \(\ell\) positions.
Özbudak, Ferruh, Özkaya, Buket
openaire   +4 more sources

Gray images of the linear codes and their dual codes over F₄+uF ₄

Tongxin xuebao, 2012
The linear codes over ring F4＋uF4 and field F4 were studied.By using the Gray weight wG ,the Gray distance dG of codes C over F4＋uF4,and the Gray map ψ from (F4＋uF4)n to F 4 2n ,the Gray image ψ(C)of linear codes C over F4＋uF4 were ...
Xiu-sheng LIU, Hua-lu LIU
doaj   +2 more sources

Novel construction of QC-LDPC codes with modified 2-D GRS codes

Tongxin xuebao, 2015
The construction method for QC-LDPC (quasi-cyclic low density parity-check) code with modified two-dimensional generalized reed-solomon (2-D GRS) code is proposed using the generator polynomial of GRS code,so thus the constructed code can have better ...
Ming ZHAO, Xiao-lin ZHANG
doaj   +2 more sources

Cyclic Codes over a Non-Commutative Non-Unital Ring

Mathematics
In this paper, we investigate cyclic codes over the ring E of order 4 and characteristic 2 defined by generators and relations as E=⟨a,b∣2a=2b=0,a2=a,b2=b,ab=a,ba=b⟩. This is the first time that cyclic codes over the ring E are studied.
Adel Alahmadi, Malak Altaiary, Patrick Solé   +2 more
doaj   +1 more source

Skew generalized quasi-cyclic codes

, 2018
Summary: This article discusses skew generalized quasi-cyclic codes over any finite field \(\mathbb F\) with Galois automorphism \(\theta\). This is a generalization of both quasi-cyclic codes and skew polynomial codes. These codes have an added advantage over quasi-cyclic codes since their lengths do not have to be multiples of the index.
Abualrub, Taher, Ezerman, Martianus Frederic, Seneviratne, Padmapani, Solé, Patrick   +3 more
openaire   +2 more sources

Multidimensional quasi-cyclic and convolutional codes

, 2014
57
openaire   +2 more sources

Experimental data collected during quasi-static cyclic loading of mass timber lateral force-resisting system tested in a three-story building structure. [PDF]

Data Brief
Thielsen NT, Sinha A, Barbosa AR, Simpson BG, Cheney D.   +4 more
europepmc   +1 more source

Protein Structure Determination by Racemic and Quasi-Racemic X-Ray Crystallography. [PDF]

Chembiochem
Kent SBH.
europepmc   +1 more source