Results 1 to 10 of about 775 (194)
Classification of Unit Groups of Five Radical Zero Completely Primary Finite Rings Whose First and Second Galois Ring Module Generators Are of the Order pk,k=2,3,4 [PDF]
Journal of Mathematics, 2022 Let R0=GRpkr,pk be a Galois maximal subring of R so that R=R0⊕U⊕V⊕W⊕Y, where U,V,W, and Y are R0/pR0 spaces considered as R0-modules, generated by the sets u1,⋯,ue,v1,⋯,vf,w1,⋯,wg, and y1,⋯,yh, respectively.
Hezron Saka Were, Maurice Owino Oduor
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Content-adaptive LSB steganography with saliency fusion, ACO dispersion, and hybrid encryption with ablation study [PDF]
Scientific ReportsImage steganography is a security technique that conceals secret information within digital images in such a way that makes the hidden content imperceptible to human vision and difficult to detect statistically.
Ahmed Aljughaiman, Rana Alrawashdeh
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Derived equivalence, recollements under H-Galois extensions
AIMS Mathematics, 2023 In this paper, assume that $ H $ is a Hopf algebra and $ A/B $ is an $ H $-Galois extension. Firstly, by introducing the concept of an $ H $-stable tilting complex $ T_{\bullet} $ over $ B $, we show that $ T_{\bullet}\otimes_BA $ is a tilting complex ...
Jinlei Dong, Fang Li, Longgang Sun
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Hopf Differential Graded Galois Extensions
Mathematics, 2022 We introduce the concept of Hopf dg Galois extensions. For a finite dimensional semisimple Hopf algebra H and an H-module dg algebra R, we show that D(R#H)≅D(RH) is equivalent to that R/RH is a Hopf differential graded Galois extension.
Bo-Ye Zhang
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An Efficient Audio Encryption Scheme Based on Finite Fields
IEEE Access, 2021 Finite fields are well-studied algebraic structures with enormous efficient properties which have applications in the fields of cryptology and coding theory.
Dawood Shah +5 more
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Hopf Quasigroup Galois Extensions and a Morita Equivalence
Mathematics, 2023 For H, a Hopf coquasigroup, and A, a left quasi-H-module algebra, we show that the smash product A#H is linked to the algebra of H invariants AH by a Morita context.
Huaiwen Guo, Shuanhong Wang
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Forum of Mathematics, Sigma, 2021 We construct a $(\mathfrak {gl}_2, B(\mathbb {Q}_p))$ and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at $0$ of a sheaf on $\mathbb {P}^1$, landing in the compactly supported completed $\mathbb {C ...
Sean Howe
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Optimization and FPGA implementation of RS coding algorithm
Dianzi Jishu Yingyong, 2020 Aiming at the problems of large amount of computation and high complexity of multiplication of Galois Field(GF) in the common RS coding algorithm, the RS coding module is optimized and the multiplier factor is obtained.
Li Jinming, Liu Mengxin, Cheng Naipeng
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Gorenstein Flat Modules of Hopf-Galois Extensions
Mathematics, 2023 Let A/B be a right H-Galois extension over a semisimple Hopf algebra H. The purpose of this paper is to give the relationship of Gorenstein flat dimensions between the algebra A and its subalgebra B, and obtain that the global Gorenstein flat dimension ...
Qiaoling Guo +3 more
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A block encryption algorithm based on exponentiation transform
Cogent Engineering, 2020 This paper proposes a new block encryption algorithm for cryptographic information protection. It describes a new transformation method EM (Exponentiation Module), which is part of the algorithm, and a method of S-box obtaining.
Nursulu Kapalova +3 more
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