Results 11 to 20 of about 4,370,382 (329)
Decoding Linear Codes over Chain Rings Given by Parity Check Matrices
Mathematics, 2021 We design a decoding algorithm for linear codes over finite chain rings given by their parity check matrices. It is assumed that decoding algorithms over the residue field are known at each degree of the adic decomposition.
José Gómez-Torrecillas +2 more
doaj +1 more source
Extensions of chain rings [PDF]
Mathematische Zeitschrift, 1984 Die Verff. studieren nullteilerfreie Ringe, deren Rechtsidealverband durch Inklusion linear geordnet ist (rechte Kettenringe). Genauer untersuchen sie folgende Konstruktion: \(R_ 0\) sei ein rechter Kettenring, \(\sigma\) ein Monomorphismus und \(\delta\) eine \(\sigma\)- Derivation. Im Polynomring \(R_ 0[x,\sigma,\delta]\) mit \(xa=\sigma(a)x+\delta(a)
Törner, Günter, Brungs, Hans-Heinrich
openaire +1 more source
Recapturing the Structure of Group of Units of Any Finite Commutative Chain Ring
Symmetry, 2021 A finite ring with an identity whose lattice of ideals forms a unique chain is called a finite chain ring. Let R be a commutative chain ring with invariants p,n,r,k,m. It is known that R is an Eisenstein extension of degree k of a Galois ring S=GR(pn,r).
Sami Alabiad, Yousef Alkhamees
semanticscholar +1 more source
DNA Codes Over the Ring F₄[
IEEE Access, 2020 In this paper, we develop the method for constructing DNA codes of odd length over the finite chain ring $R=\mathbb {F}_{4}[u]/\langle u^{3}\rangle $ , which plays an important role in genetics, bioengineering and DNA computing.
Jie Liu, Hualu Liu
doaj +1 more source
The Dynamic Behavior of a Single Semiflexible Ring Chain in a Linear Polymer Matrix
Biophysica, 2023 We studied the dynamic behavior of a single semiflexible ring in linear chain matrix based on a coarse-grained model using the molecular dynamics simulation approach. We found that that ring chains’ hollow centers are frequently filled with linear chains.
Xiaolin Zhou, Yifan Qin
doaj +1 more source
Vector bundles on the projective line and finite domination of chain complexes [PDF]
, 2014 Finitely dominated chain complexes over a Laurent polynomial ring in one indeterminate are characterised by vanishing of their Novikov homology. We present an algebro-geometric approach to this result, based on extension of chain complexes to sheaves on ...
Huettemann, Thomas
core +7 more sources
Dynamic Characteristics of the Chain Drive System under Multiple Working Conditions
Machines, 2023 The chain drive system, being one of the core subsystems of the scraper conveyor, greatly influences the coal-conveying efficiency due to its dynamic characteristics.
Shoubo Jiang +6 more
doaj +1 more source
On polycyclic codes over a finite chain ring [PDF]
Advances in Mathematics of Communications, 2018 Galois images of polycyclic codes over a finite chain ring $S$ and their annihilator dual are investigated. The case when a polycyclic codes is Galois-disjoint over the ring $S,$ is characterized and, the trace codes and restrictions of free polycyclic ...
E. Martínez-Moro +2 more
semanticscholar +1 more source
Some Constacyclic Codes over Finite Chain Rings [PDF]
, 2012 For $\lambda$ an $n$-th power of a unit in a finite chain ring we prove that $\lambda$-constacyclic repeated-root codes over some finite chain rings are equivalent to cyclic codes. This allows us to simplify the structure of some constacylic codes.
Batoul, Aicha +2 more
core +1 more source
Synthesis of 1 alpha,25-Dihydroxyvitamin D Analogues Featuring a S-2-symmetric CD-ring Core [PDF]
, 2009 Three analogues of 1 alpha,25-dihydroxyvitamin D-3 (calcitriol), featuring a transfused decalin C, D-core with local S-2-symmetry, and possessing identical side-chain and seco-B,A-ring structures, have been synthesized starting from readily available ...
De Clercq, Pierre, Minne, Garrett
core +2 more sources