Results 11 to 20 of about 30,150 (231)
Low-rank parity-check codes over Galois rings. [PDF]
Des Codes Cryptogr, 2021 Renner J, Neri A, Puchinger S.
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Butson-type complex Hadamard matrices and association schemes on Galois rings of characteristic 4
Special Matrices, 2018 We consider nonsymmetric hermitian complex Hadamard matrices belonging to the Bose-Mesner algebra of commutative nonsymmetric association schemes. First, we give a characterization of the eigenmatrix of a commutative nonsymmetric association scheme of ...
Ikuta Takuya, Munemasa Akihiro
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Galois-Azumaya extensions and the Brauer-Galois group of a commutative ring
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2006 We attach to any commutative ring R a subgroup of the Brauer group of R, called the Brauer-Galois group of R. Its elements are the classes of the Azumaya R-algebras which can be represented, via Brauer equivalence, by a Galois extension of R. We compute this group for some particular commutative fields.
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The Galois endomorphism ring of a Galois Azumaya extension
International Journal of Algebra, 2013 Let B be a Galois Azumaya extension of B G with Galois group G; that is, B is a Galois extension of B G with Galois group G which is an Azumaya C G -algebra where C is the center of B. Denote B G by D and the endomorphism ring Hom(DB, DB) of the left D-module endomorphisms of B by Ω.
Xiaolong Jiang, George Szeto
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Applied Mathematics and Nonlinear Sciences, 2020 Abstract As a cryptosystem, Nth Truncated Polynomial Ring (NTRU) is established on the fast and easy calculation. Improving the security is aimed by enlarging a ring where the processes execute and enhancing the number of a private key and a public key.
Sever, Mehmet, Ozdemir, Ahmet Sukru
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Some interactions between Hopf Galois extensions and noncommutative rings
Universitas Scientiarum, 2022 In this paper, our objects of interest are Hopf Galois extensions (e.g., Hopf algebras, Galois field extensions, strongly graded algebras, crossed products, principal bundles, etc.) and families of noncommutative rings (e.g., skew polynomial rings, PBW ...
Armando Reyes, Fabio Calderón
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SMARANDACHE-GALOIS FIELDS [PDF]
, 2010 In this paper we study the notion of Smarandache-Galois fields and homomorphism and the Smarandache quotient ring. Galois fields are nothing but fields having only a finite number of elements.
Vasantha Kandasamy, W. B.
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Displayed equations for Galois representations [PDF]
, 2012 The Galois representation associated to a p-divisible group over a complete noetherian normal local ring with perfect residue field is described in terms of its Dieudonn\'e display. As a corollary we deduce in arbitrary characteristic Kisin's description
Fontaine, Lau, Messing, Seydi, Tate
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On Galois Extension of Rings [PDF]
Nagoya Mathematical Journal, 1966 Let Λ be a ring and G a finite group of ring automorphisms of Λ. The totality of elements of Λ which are left invariant by G is a subring of Λ. We call it the G-fixed subring of Λ. Let be the crossed product of Λ and G with trivial factor set, i.e. {u0} is a Λ-free basis of Δ and , and let Γ be a subring of the G-fixed subring of Λ which has the same ...
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On Galois Conditions and Galois Groups of Simple Rings [PDF]
Transactions of the American Mathematical Society, 1965 Throughout the present paper, R will be a simple ring, where we shall understand by a simple ring a total matrix ring over a division rings. If S' is any subring containing the identity element 1 of R, we denote by VR(S') the centralizer of S' in R, VR(S') = VR(VR(S')) and by 0 (S', R) we denote the group of all automorphisms of R which are the ...
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