# Abdelhakim Chillali

### Université Sidi Mohamed Ben Abdellah

H-index: 12

Africa-Morocco

## Description

Abdelhakim Chillali, With an exceptional h-index of 12 and a recent h-index of 9 (since 2020), a distinguished researcher at Université Sidi Mohamed Ben Abdellah, specializes in the field of Algèbre, Théorie des nombres, Cryptographie.

His recent articles reflect a diverse array of research interests and contributions to the field:

Twisted Edwards Curve Over the Ring

Scientific African

The" Elliptic" matrices and a new kind of cryptography

Elliptic curves over a finite ring

Twisted Hessian curves over the ring ????q[∈], ∈2 = 0

Generalized Fibonacci Sequences for Elliptic Curve Cryptography

Elliptic curve and k-Fibonacci-like sequence

A New Addition Law in Twisted Edwards Curves on Non Local Ring

### Professor Information

University | Université Sidi Mohamed Ben Abdellah |
---|---|

Position | FPT Taza |

Citations(all) | 529 |

Citations(since 2020) | 374 |

Cited By | 309 |

hIndex(all) | 12 |

hIndex(since 2020) | 9 |

i10Index(all) | 15 |

i10Index(since 2020) | 8 |

University Profile Page | Université Sidi Mohamed Ben Abdellah |

#### Research & Interests List

Algèbre

Théorie des nombres

Cryptographie

## Top articles of Abdelhakim Chillali

### Twisted Edwards Curve Over the Ring

Let Fq be a finite field of q elements, where q is a power of an odd prime number. In this paper, we study the twisted Edwards curves denoted EEa, dover the local ring Fq [e], where e2= 0. In the first time, we study the arithmetic of the ring Fq [e], e2= 0. After that we define the twisted Edwards curves EEa, d over this ring and we give essential properties and we define the group EEa, d, these properties. Precisely, we give a bijection between the groups EEa, d and EEa0, d0× Fq, where EEa0, d0 is the twisted Edwards curves over the finite field Fq.

Authors

Moha Ben Taleb El Hamam,Abdelhakim Chillali,Lhoussain El Fadil

Journal

Tatra Mountains Mathematical Publications

Published Date

2023/4/14

### Scientific African

The advent of anthropogenic global warming and widespread modification of the climate, landscape and environment has brought humans to the fore as a formidable force of nature. The terrestrial and aquatic environment of the East African region is sensitive to a variety of global, regional and local stresses. The geological materials along East Africa coasts, lakes and peats are excellent archives of environmental and climatic changes. The study of their sedimentary records has contributed to our understanding of global environmental and ecosystem changes induced by anthropogenic activities associated with the “Anthropocene”, the proposed new geological epoch in Earth history. Humans have occupied East Africa for thousands of years, but until about 300 years ago, their impact on the environment was localized and transitory. The impacts intensified during the 19th century due to rapid population growth and extension and intensification of agriculture that was largely driven by colonists; during this period, the overprinting of natural environmental changes by humans is clear, marked by significant changes in sedimentation, sediment properties, and lake water quality as a consequence of land and water degradation and overexploitation of terrestrial and aquatic ecosystem goods and services. Related impacts include changes in terrestrial and aquatic ecosystems and associated biodiversity losses. There have been temporal and spatial lags in the changes, depending on locality, but there is a widespread convergence of these effects from the mid-1900s, support the Anthropocene Working Group’s proposed date of 1950 as the start of the …

Authors

Eric O Odada,Daniel O Olago,Lydia A Olaka

Published Date

2020

### The" Elliptic" matrices and a new kind of cryptography

In [17], A. Chillali et al introduce a new cryptographic method based on matrices over a finite field F p n, where p is a prime number. In this paper, we will generate this method in a new group of square block matrices based on an elliptic curve, called" elliptic" matrices.

Authors

Zakariae Cheddour,Abdelhakim Chillali,Ali Mouhib

Journal

Boletim da Sociedade Paranaense de Matemática

Published Date

2023

### Elliptic curves over a finite ring

Let Fq be a finite field, where q is a power of a prime p such that p> 5. Let\alpha be a root of a monic polynomial of a minimal degree over Fq. In this paper, we will study elliptic curves over (Fq [\alpha],+,*), where+ is the usual addition and* represent a non-standard product law over Fq [\alpha]. Elliptic curves over this ring can be used to create a new type of cryptography. The method is fast, simple, and secure.

Authors

Zakariae Cheddour,Abdelhakim Chillali,Ali Mouhib

Journal

Annals of the University of Craiova-Mathematics and Computer Science Series

Published Date

2023/12/18

### Twisted Hessian curves over the ring ????q[∈], ∈2 = 0

The goal of this work is to study some arithmetic proprieties of the twisted Hessian curves defined by a equation of type: aX3 + Y3 + Z3 = dXYZ on the local ring R2 = ????q[X]/(X2), where p ≥ 5 is a prime number, q = pd and d ∈ ℕ*, such that -3 is not a square in ????q. This paper consists of an introduction, section, and a conclusion. In the introduction, we review some fundamental arithmetic proprieties of finite local rings R2, which will be used in the remainder of this article. The section is devoted to the study the above mentioned twisted Hessian curves on these finite local rings for restriction to some specific characteristic p ≥ 5. Using these studies, we give essential properties and we define the group H2a,d, these properties, the classification of these elements and a bijection between the sets H2a,d and Ha0,d0 × ????q, where Ha0,d0 is the twisted Hessian curve over the finite field ????q.

Authors

Abdelâli Grini,Abdelhakim Chillali,Lhoussain El Fadil,Hakima Mouanis

Journal

International Journal of Computer Aided Engineering and Technology

Published Date

2023

### Generalized Fibonacci Sequences for Elliptic Curve Cryptography

The Fibonacci sequence is a well-known sequence of numbers with numerous applications in mathematics, computer science, and other fields. In recent years, there has been growing interest in studying Fibonacci-like sequences on elliptic curves. These sequences have a number of exciting properties and can be used to build new encryption systems. This paper presents a further generalization of the Fibonacci sequence defined on elliptic curves. We also describe an encryption system using this sequence which is based on the discrete logarithm problem on elliptic curves.

Authors

Zakariae Cheddour,Abdelhakim Chillali,Ali Mouhib

Journal

Mathematics

Published Date

2023/11/15

### Elliptic curve and k-Fibonacci-like sequence

In this paper, we will introduce a modified k-Fibonacci-like sequence defined on an elliptic curve and prove Binet’s formula for this sequence. Moreover, we give a new encryption scheme using this sequence.

Authors

Zakariae Cheddour,Abdelhakim Chillali,Ali Mouhib

Journal

Scientific African

Published Date

2023/7/1

### A New Addition Law in Twisted Edwards Curves on Non Local Ring

Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {F}_{q}$$\end{document} be a finite field of q elements with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q=p^r$$\end{document} for some odd prime integer p and a positive integer r. Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek …

Authors

Moha Ben Taleb Elhamam,Abdelhakim Chillali,Lhoussain El Fadil

Published Date

2022/10/27

## Professor FAQs

### What is Abdelhakim Chillali's h-index at Université Sidi Mohamed Ben Abdellah?

The h-index of Abdelhakim Chillali has been 9 since 2020 and 12 in total.

### What are Abdelhakim Chillali's top articles?

The articles with the titles of

Twisted Edwards Curve Over the Ring

Scientific African

The" Elliptic" matrices and a new kind of cryptography

Elliptic curves over a finite ring

Twisted Hessian curves over the ring ????q[∈], ∈2 = 0

Generalized Fibonacci Sequences for Elliptic Curve Cryptography

Elliptic curve and k-Fibonacci-like sequence

A New Addition Law in Twisted Edwards Curves on Non Local Ring

...

are the top articles of Abdelhakim Chillali at Université Sidi Mohamed Ben Abdellah.

### What are Abdelhakim Chillali's research interests?

The research interests of Abdelhakim Chillali are: Algèbre, Théorie des nombres, Cryptographie

### What is Abdelhakim Chillali's total number of citations?

Abdelhakim Chillali has 529 citations in total.

### What are the co-authors of Abdelhakim Chillali?

The co-authors of Abdelhakim Chillali are Michał Świeca, Dariusz Dziki, Pierre-Louis Cayrel, Dr. Sorelle Nsogning Dongmo, Ahmed Abdelwanis.