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Mathematics of Digital Communications: From Finite Fields to Group Rings and Noncommutative Algebra

Iranian Journal of Science and Technology, Transactions A: Science, 2020
In this paper, we present some recent instances of applying algebraic tools from different categories, in the design of digital communications systems. More specifically, we present a structure based on the elements of a group ring for constructing and encoding QC-LDPC codes.
Hassan Khodaiemehr, Dariush Kiani
openaire   +1 more source

Irrelation of Mathematical and Functional Aspects of Descriptive Image Algebras with One Ring Operations Interpretability

2019
The study is continued investigation of mathematical and functional/physical interpretation of image analysis and processing operations used as sets of operations (ring elements) in descriptive image algebras (DIA) with one ring. The main result is the determination and characterization of interpretation domains of DIA operations: image algebras that ...
Igor Gurevich, Vera Yashina
openaire   +1 more source

Noncommutative Local Algebra and Representations of certain rings of mathematical physics

1995
The Weyl algebra is one of the most important objects in mathematical physics and representation theory of Lie groups and Kac-Moody algebras.
openaire   +1 more source

Gold-Catalyzed Synthesis of Small Rings

Chemical Reviews, 2021
Mauro Mato   +2 more
exaly  

Ruthenium-Catalyzed Cycloadditions to Form Five-, Six-, and Seven-Membered Rings

Chemical Reviews, 2021
Rosalie S Doerksen   +2 more
exaly  

Cleavage of Carbon–Carbon σ-Bonds of Four-Membered Rings

Chemical Reviews, 2021
Masahiro Murakami, Naoki Ishida
exaly  

Stereoselective construction of β-, γ- and δ-lactam rings via enzymatic C–H amidation

Nature Catalysis, 2023
David A Vargas   +2 more
exaly  

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