The Discrete Logarithm Problem in the ElGamal Cryptosystem over the Abelian Group U(n) Where n= pm,or 2pm

Hashim, Hayder Raheem

doi:10.14445/22315373/ijmtt-v7p522

Cited by 3 publications

(5 citation statements)

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“…The SWE process was performed in a stainless-steel batch Buchiglasuster Kiloclave laboratory pressure vessel system (Uster, Switzerland) applying the method reported by Hashim et al [23]. The vessel is of stainless steel and can operate a sample volume of 0.5-20.0 L and in a temperature range between -20°C and 250°C.…”

Section: Extraction Processmentioning

confidence: 99%

“…An optimum extraction time of 5 h as suggested by Hashim et al [23] and Kim et al [24] was selected. The extraction vessel was tightly closed and secured with bolts and nuts.…”

Section: Extraction Processmentioning

confidence: 99%

“…The amount of mangiferin in the extraction yield was quantified by HPLC (Agilent Technologies 1100, CA, USA) adapting methods from Kim et al [24] and Hashim et al [23] with minor modification. Mahkota Dewa fruits extracts were sonicated for 5 min to evenly disperse the particles.…”

Section: Mangiferin Quantificationmentioning

confidence: 99%

“…The calibration curve was constructed by the HPLC built-in software and the regression equation was used to calculate the concentration of mangiferin yield [23]. The actual wt % of mangiferin yield was then calculated by the following equation:…”

Section: Mangiferin Quantificationmentioning

confidence: 99%

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Mahkota Dewa Subcritical Water Extraction Process: Experimental and Molecular Dynamics Simulation Study

et al. 2019

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Subcritical water extraction and molecular dynamics simulation were performed to investigate mangiferin and antioxidant extraction from Mahkota Dewa fruits at different operating temperatures. The mangiferin yield and antioxidant activity were analyzed using high-performance liquid chromatography and 2-diphenyl-1-picrylhydrazyl assay method, respectively. The diffusivity and intermolecular interactions were determined by mean squared displacement (MSD) and radial distribution function (RDF) analysis, respectively. The temperature exerts a momentous effect on mangiferin yield and antioxidant activity of the extract. The MSD result showed an increment in diffusivity coefficient of mangiferin with temperature. The RDF analysis revealed hydrogen bonding formations between mangiferin and water through O H2O..H MR4(OH1) interaction that plays a role in the extraction process.

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Section: Extraction Processmentioning

confidence: 99%

“…An optimum extraction time of 5 h as suggested by Hashim et al [23] and Kim et al [24] was selected. The extraction vessel was tightly closed and secured with bolts and nuts.…”

Section: Extraction Processmentioning

confidence: 99%

Section: Mangiferin Quantificationmentioning

confidence: 99%

Section: Mangiferin Quantificationmentioning

confidence: 99%

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Mahkota Dewa Subcritical Water Extraction Process: Experimental and Molecular Dynamics Simulation Study

et al. 2019

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“…The El Gamal cryptosystem can not only be applied to the ℤ 𝑝 field, but also to any cyclic commutative group [7]. We will explain later about Elliptical Curves and that the points on these curves form cyclic groups.…”

Section: Introductionmentioning

confidence: 99%

Modification of Pollard Rho Algorithm Using Negation Mapping

Carita

Kabetta²

2022

BAREKENG: J. Math. & App.

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El Gamal encryption was introduced in 1985 and is still commonly used today. Its hardness is based on a discrete logarithm problem defined over the finite abelian cyclic group group chosen in the original paper was but later it was proven that using the group of Elliptic Curve points could significantly reduce the key size required. The modified El Gamal encryption is dubbed its analog version. This analog encryption bases its hardness on Elliptic Curve Discrete Logarithm Problem (ECDLP). One of the fastest attacks in cracking ECDLP is the Pollard Rho algorithm, with the expected number of iterations where is the number of points in the curve. This paper proposes a modification of the Pollard Rho algorithm using a negation map. The experiment was done in El Gamal analog encryption of elliptic curve defined over the field with different values of small digit . The modification was expected to speed up the algorithm by times. The average of speed up in the experiment was 1.9 times.

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Elgamal cryptoalgorithm on the basis of the vector-module method of modular exponentiation and multiplication

Yakymenko

Kasianchuk

Gomotiuk

et al. 2020

2020 IEEE 15th International Conference on Advanced Trends in Radioelectronics, Telecommunications and Computer Engineering (TC

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The Discrete Logarithm Problem in the ElGamal Cryptosystem over the Abelian Group U(n) Where n= pm,or 2pm

Abstract: Abstract-This study is mainly about the discrete logarithm problem in the ElGamal cryptosystem over the abelian group U(n) where n is one of the following forms p

Cited by 3 publications

References 1 publication

Mahkota Dewa Subcritical Water Extraction Process: Experimental and Molecular Dynamics Simulation Study

Mahkota Dewa Subcritical Water Extraction Process: Experimental and Molecular Dynamics Simulation Study

Modification of Pollard Rho Algorithm Using Negation Mapping

Elgamal cryptoalgorithm on the basis of the vector-module method of modular exponentiation and multiplication

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