Zobrazeno 1 - 10 of 10 pro vyhledávání: '"Mohammed Sahmoudi"'
1
Akademický článek
On relative pure cyclic fields with power integral bases
Autor: Mohammed Sahmoudi, Mohamed E. Charkani
Publikováno v: Mathematica Bohemica, Vol 148, Iss 1, Pp 117-128 (2023)
Let $L = K(\alpha)$ be an extension of a number field $K$, where $\alpha$ satisfies the monic irreducible polynomial $P(X)=X^p-\beta$ of prime degree belonging to $\mathfrak{o}_K[X]$ ($\mathfrak{o}_K$ is the ring of integers of $K$). The purpose of t
Externí odkaz: https://doaj.org/article/37c8eb84bdd94da8be511da1dce98287
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2
Akademický článek
On sextic integral bases using relative quadratic extention
Autor: Mohammed Sahmoudi, Soullami Abderazak
Publikováno v: Boletim da Sociedade Paranaense de Matemática, Vol 38, Iss 4 (2019)
Let $K=\mathbb{Q}(\theta)$ be a cubic number filed and $P(X)=X^3-aX-b$ ($a,b$ in $\ZZ$), the monic irreducible polynomial of $\theta$. In this paper we give a sufficient conditions on $a$,$b$ which ensure that $\theta$ is a power basis generator, als
Externí odkaz: https://doaj.org/article/561d4fd4805040f0932117f363d8b697
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5
Tower Index formula and monogenecity
Autor: Abderazak Soullami, Mohammed Sahmoudi, Mohamed E. Charkani
Publikováno v: Communications in Algebra. 49:2469-2475
In this paper, we are going to exploit the irreducibility of the composite polynomial defined on the same field to prove a New and useful result linking the index-ideal in Tower extensions allowing...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::75a642ebd186a364aa3ef212bd4b06d2
https://doi.org/10.1080/00927872.2021.1872590
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6
On relative power integral basis of a family of numbers fields
Autor: Omar Boughaleb, Mohammed Sahmoudi, Abderazak Soullami
Publikováno v: Rocky Mountain Journal of Mathematics. 51
Let K be a number field with ring of integers R and L=K(α) where α satisfies the irreducible polynomial P(X)=X3n+aX3s−b of R[X] (n,s∈ℕ,n>s). We give necessary and sufficient conditions that involve only a, b, s, n to study the monogeneity of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2c314b2bf2ee846d228b84b85a956308
https://doi.org/10.1216/rmj.2021.51.1443
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7
SCC-Cryptosystem on an algebraic closure ring
Autor: CED Ibn Tofail, Mohammed Sahmoudi, Abdelhakim Chillali
Publikováno v: Journal of Discrete Mathematical Sciences and Cryptography. 23:1475-1485
The aim of this paper is to bring together two areas in which we propose a cryptosystem on a commutative ring based on the concept of integral basis in number theory. This idea goes back at least a...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d254bbc89a6691ffb0e82977e608e753
https://doi.org/10.1080/09720529.2019.1624338
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8
On sextic integral bases using relative quadratic extention
Autor: Soullami Abderazak, Mohammed Sahmoudi
Publikováno v: Boletim da Sociedade Paranaense de Matemática. 38:175-180
Let $K=\mathbb{Q}(\theta)$ be a cubic number filed and $P(X)=X^3-aX-b$ ($a,b$ in $\ZZ$), the monic irreducible polynomial of $\theta$. In this paper we give a sufficient conditions on $a$,$b$ which ensure that $\theta$ is a power basis generator, als
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::71dffd45b83aa20db1fd3591a60fefab
https://doi.org/10.5269/bspm.v38i4.40042
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9
Key Exchange Over Particular Algebraic Closure Ring
Autor: Abdelhakim Chillali, Mohammed Sahmoudi
Publikováno v: Tatra Mountains Mathematical Publications. 70:151-162
In this paper, we propose a new method of Diffie-Hellman key exchange based on a non-commutative integral closure ring. The key idea of our proposal is that for a given non-commutative ring, we can define the secret key and take it as a common key to
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::578a3555efe352c33c57f526f32c1249
https://doi.org/10.1515/tmmp-2017-0024
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