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Self-dual codes over finite chain rings
2008 11th IEEE Singapore International Conference on Communication Systems, 2008Self-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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Applicable Algebra in Engineering, Communication and Computing, 2018
Let m, e be positive integers, p a prime number, $$\mathbb {F}_{p^m}$$Fpm be a finite field of $$p^m$$pm elements and $$R=\mathbb {F}_{p^m}[u]/\langle u^e\rangle $$R=Fpm[u]/⟨ue⟩ which is a finite chain ring.
Yuan Cao, Yonglin Cao, Fang-Wei Fu
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Let m, e be positive integers, p a prime number, $$\mathbb {F}_{p^m}$$Fpm be a finite field of $$p^m$$pm elements and $$R=\mathbb {F}_{p^m}[u]/\langle u^e\rangle $$R=Fpm[u]/⟨ue⟩ which is a finite chain ring.
Yuan Cao, Yonglin Cao, Fang-Wei Fu
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On Minimal Realization Over a Finite Chain Ring
Designs, Codes and Cryptography, 1999zbMATH 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, 2012Rings 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, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantum codes over a class of finite chain ring
Quantum Information and Computation, 2016In 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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LCP of constacyclic codes over finite chain rings
Journal of Applied Mathematics and Computation, 2022Ridhima Thakral, Sucheta Dutt, R. Sehmi
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Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1973
Clark, W. Edwin, Drake, David A.
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Clark, W. Edwin, Drake, David A.
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The assembly, regulation and function of the mitochondrial respiratory chain
Nature Reviews Molecular Cell Biology, 2021Irene Vercellino, Leonid A Sazanov
exaly