World Journal of Engineering Research and Technology (WJERT) has indexed with various reputed international bodies like : Google Scholar , Index Copernicus , Indian Science Publications , SOCOLAR, China , International Institute of Organized Research (I2OR) , Cosmos Impact Factor , Research Bible, Fuchu, Tokyo. JAPAN , Scientific Indexing Services (SIS) , Jour Informatics (Under Process) , UDLedge Science Citation Index , International Impact Factor Services , International Scientific Indexing, UAE , International Society for Research Activity (ISRA) Journal Impact Factor (JIF) , International Innovative Journal Impact Factor (IIJIF) , Science Library Index, Dubai, United Arab Emirates , Scientific Journal Impact Factor (SJIF) , Science Library Index, Dubai, United Arab Emirates , Eurasian Scientific Journal Index (ESJI) , Global Impact Factor (0.342) , IFSIJ Measure of Journal Quality , Web of Science Group (Under Process) , Directory of Research Journals Indexing , Scholar Article Journal Index (SAJI) , International Scientific Indexing ( ISI ) , 

World Journal of Engineering
Research and Technology

( An ISO 9001:2015 Certified International Journal )

An International Peer Reviewed Journal for Engineering Research and Technology

ISSN 2454-695X

Impact Factor : 5.924

ICV : 79.45

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    WJERT Rank with Index Copernicus Value 79.45 due to high reputation at International Level

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    JANUARY 2021 Issue has been successfully launched on 1 January 2021.

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Ahmed Asimi*


In this digital age, modern cryptographic techniques have many uses, such as to digitally sign documents, access control, implement electronic money, elliptic curves, IT security and network security for example design and validation of authentication and trust architectures. Because of these important uses it is necessary that users be able to estimate the efficiency and security of cryptographic techniques. It is ot sufficient for them to know only how the techniques work. One of the most useful of these structures is that of finite fields which are perfectly connected to these primitive elements. Indeed, every finite field is commutative and admits a primitive element. In this paper, we effectively determinate the primitive elements of finite fields where is a prime number. We show that 1) if is a prime number then is a Fermat prime number; 2) is a primitive element of if and only if is not a quadratic residue modulo ; 3) the elements 32n+1 modulo for all ?? are the primitive elements of with ; and 4) 2 is a primitive element of if and only if (ie ).

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