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A CHARACTERIZATION OF THE GENERALIZED INVERSES OVER DIVISION RINGS
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作者 Ma Zilong(Dept.of Math.,Heihe Teacher College,Heihe,PRC)Cao Chongguang(Dept.of Math.,Heilongjiang University,Harbin 150080,PRC) 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 2000年第S1期153-156,共4页
Peal[2] shows that a sufficient and necessary condition on the existence of theMoore-Penrose inverse over any fields.Zhuang [3] generalize the result to any divisionrings.In this section we give another sufficient and... Peal[2] shows that a sufficient and necessary condition on the existence of theMoore-Penrose inverse over any fields.Zhuang [3] generalize the result to any divisionrings.In this section we give another sufficient and necessary condition on the existence ofthe Moore-Penrose inverse over any division rings.Our result can be regarded as an im-provement of Theorem lin[1].As a medium result,we also show a characterization ofthe{1,2}-inverse. 展开更多
关键词 OVER A CHARACTERIZATION OF THE GENERALIZED INVERSES OVER division RINGS AEM
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Data-Hiding Based on Sudoku and Generalized Exploiting Modification Direction 被引量:1
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作者 Jiin-Chiou Cheng Wen-Chung Kuo Bo-Rong Su 《Journal of Electronic Science and Technology》 CAS CSCD 2018年第2期123-128,共6页
Division arithmetic and generalized exploiting modification direction (DA-GEMD) method has perfect efficiency in data-hiding. However, there exist some weaknesses in DA-GEMD. Because the benchmarks are their median ... Division arithmetic and generalized exploiting modification direction (DA-GEMD) method has perfect efficiency in data-hiding. However, there exist some weaknesses in DA-GEMD. Because the benchmarks are their median of nine pixels in each block of cover-image, it will give a hint for the attacker to hack the stego-image. In the paper, we utilize the Sudoku table to randomize the benchmark for each 3×3 block of cover-image. It will mix up the pixels in each image block and prevent the secret information from being extracted. The proposed method still keeps the original efficiency as DA-GEMD while promoting the security for data-hiding. 展开更多
关键词 Cover-image division arithmetic and generalized exploiting modification direction(DAGEMD) STEGO-IMAGE SUDOKU
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