Results 251 to 260 of about 158,948 (278)

Self-dual codes over finite chain rings

2008 11th IEEE Singapore International Conference on Communication Systems, 2008
Self-dual codes are an important class of codes. They have interesting connections to design theory, lattices theory and invariant theory. In this work, we generalize our result of [15] to finite chain rings R, and define Type II codes over finite chain rings R.
Jianfa Qian, Wenping Ma
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On Minimal Realization Over a Finite Chain Ring

Designs, Codes and Cryptography, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Properties of finite unrefinable chains of ring topologies

Journal of Mathematical Sciences, 2012
Rings are not necessarily associative, topological spaces not necessarily Hausdorff. It is known that the set of all ring topologies on a ring \(R\) forms a lattice. The author studies the following question related to the Schmidt-Ore theorem about principal series in modular lattices: Let \(R\) be a ring, \(\mathfrak M\) a lattice of ring topologies ...
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Matrix-product codes over finite chain rings

Applicable Algebra in Engineering, Communication and Computing, 2008
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Quantum codes over a class of finite chain ring

Quantum Information and Computation, 2016
In this study, we introduce a new Gray map which preserves the orthogonality from the chain ring F_2 [u] / (u^s ) to F^s_2 where F_2 is the finite field with two elements. We also give a condition of the existence for cyclic codes of odd length containing its dual over the ring F_2 [u] / (u^s ) .
Sarı, Mustafa, Siap, Irfan
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Finite chain rings

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1973
Clark, W. Edwin, Drake, David A.
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Survival outcomes used to validate version 9 of the American Joint Committee on Cancer staging system for appendiceal cancer

Ca-A Cancer Journal for Clinicians, 2023
Elliot A Asare
exaly  

Catalytic Enantioselective Ring-Opening Reactions of Cyclopropanes

Chemical Reviews, 2021
Vincent Pirenne, Bastian Muriel, Jerome Waser   +2 more
exaly  

The assembly, regulation and function of the mitochondrial respiratory chain

Nature Reviews Molecular Cell Biology, 2021
Irene Vercellino, Leonid A Sazanov
exaly  

Skew-constacyclic codes over finite chain rings

Skew polynomial rings over finite fields and over Galois rings have been used to study codes. In this work, we extend this concept to R(pm,e):= Fpm + uFpm + ⋅⋅⋅ + ue-1Fpm, a finite chain ring of prime characteristic p. The Gray images of codes over this ring are also studied.
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