Results 1 to 10 of about 105,712 (106)
Bounds for Coding Theory over Rings
Entropy, 2022 Coding theory where the alphabet is identified with the elements of a ring or a module has become an important research topic over the last 30 years. It has been well established that, with the generalization of the algebraic structure to rings, there is
Niklas Gassner +3 more
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Two New Classes of Codebooks Asymptotically Achieving the Welch Bound
IEEE Access, 2021 Exponential sums over Galois rings have many applications in coding theory, cryptography and algebraic combinatorics. In this article, we employ additive characters and multiplicative characters over Galois rings to present two classes of codebooks, and ...
Shimin Sun, Li Han, Yang Yan, Yao Yao
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On the State Approach Representations of Convolutional Codes over Rings of Modular Integers
Mathematics, 2021 In this study, we prove the existence of minimal first-order representations for convolutional codes with the predictable degree property over principal ideal artinian rings.
Ángel Luis Muñoz Castañeda +2 more
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Nonassociative Algebras, Rings and Modules over Them
Mathematics, 2023 The review is devoted to nonassociative algebras, rings and modules over them. The main actual and recent trends in this area are described. Works are reviewed on radicals in nonassociative rings, nonassociative algebras related with skew polynomials ...
Sergey Victor Ludkowski
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Results in Physics, 2021 In this paper, by integrating the phase-cancellation and absorption mechanisms, we proposed and experimentally demonstrated a light-weight coding metamaterial for broadband, wide-angle and polarization-independent radar cross section (RCS) reduction ...
Wei Fang +3 more
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Prime Graph over Cartesian Product over Rings and Its Complement
JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 Graph theory is a branch of algebra that is growing rapidly both in concept and application studies. This graph application can be used in chemistry, transportation, cryptographic problems, coding theory, design communication network, etc.
Farah Maulidya Fatimah +2 more
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A Note on Powers in Finite Fields [PDF]
, 2015 The study of solutions to polynomial equations over finite fields has a long history in mathematics and is an interesting area of contemporary research.
Aabrandt, Andreas +1 more
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The primordial tRNA acceptor stem code from theoretical minimal RNA ring clusters
BMC Genetics, 2020 Background Theoretical minimal RNA rings code by design over the shortest length once for each of the 20 amino acids, a start and a stop codon, and form stem-loop hairpins. This defines at most 25 RNA rings of 22 nucleotides. As a group, RNA rings mimick
Jacques Demongeot, Hervé Seligmann
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How to obtain lattices from (f,σ,δ)-codes via a generalization of Construction A [PDF]
, 2017 We show how cyclic (f,σ,δ)-codes over finite rings canonically induce a Z-lattice in RN by using certain quotients of orders in nonassociative division algebras defined using the skew polynomial f.
A Batoul +47 more
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On Linear Coding over Finite Rings and Applications to Computing
Entropy, 2017 This paper presents a coding theorem for linear coding over finite rings, in the setting of the Slepian–Wolf source coding problem. This theorem covers corresponding achievability theorems of Elias (IRE Conv. Rec. 1955, 3, 37–46) and Csiszár (IEEE Trans.
Sheng Huang, Mikael Skoglund
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