Results 221 to 230 of about 10,192,265 (264)

Mitogenomic and phylogenomic analyses identify a cohesive Western Atlantic lineage within the Narcine complex (Torpediniformes: Narcinidae). [PDF]

open access: yesMol Biol Rep
Palacios-Barreto P   +8 more
europepmc   +1 more source

Algebraic Coding Theory Over Finite Commutative Rings

open access: yesSpringerBriefs in Mathematics, 2017
This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject.
Steven Dougherty
exaly   +2 more sources

On achievability of linear source coding over finite rings

open access: yes, 2013
We propose using linear mappings over finite rings as encoders in the Slepian-Wolf and the source coding for computing problems. It is known that the arithmetic of many finite rings is substantially easier to implement than the one of finite fields ...
Mikael Skoglund
exaly   +2 more sources

Symmetric Codes over Rings

SIAM Journal on Discrete Mathematics, 2003
Summary: Shannon suggested investigating a binary multiplying channel and asked for a maximal uniquely decodable symmetric code. Motivated by his example, we define such a code, called a Shannon set, for an arbitrary ring. We investigate the Shannon sets for the rings \(\mathbb F_q^{n\times n}\) for \(n\in\mathbb N\) and the rings \(\mathbb Z_m=\mathbb
André Barbé, Fritz von Haeseler
openaire   +3 more sources

Counting codes over rings

Designs, Codes and Cryptography, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Steven T. Dougherty, Esengül Saltürk
openaire   +1 more source

On cyclic codes over Galois rings

Discrete Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jasbir Kaur, Sucheta Dutt, Ranjeet Sehmi
openaire   +3 more sources

On the Equivalence of Codes over Finite Rings

Applicable Algebra in Engineering, Communication and Computing, 2004
Let \(R\) be a finite (not necessarily commutative) ring with identity. The authors call \(R\) a `left (right) MacWilliams ring' if for each \(n\geq 1\) and linear code \(C \subseteq R^n\), every left (right) isometry \(C\rightarrow R^n\) extends to a monomial transformation of \(R^n\).
Hai Quang Dinh 0001   +1 more
openaire   +2 more sources

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