A mathematical development of gordon, mills and welch generator using galois field and trace polynomials
Other Title(s)
التطوير الرياضي لمولد جوردن- ملز- ويلش باستخدام حقل غالوا و متعددات حدود الأثر
Author
Source
Engineering and Technology Journal
Issue
Vol. 25, Issue 08 (31 Oct. 2007), pp.961-971, 11 p.
Publisher
Publication Date
2007-10-31
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Topics
Abstract AR
يقدم البحث طريقة مطورة مع خوارزمية جديدة تعتمد على حقل غالوا و متجددات حدود الأثر (Trace polynomials) لتطوير مولد جوردن- ملز- ويلش (GMW) اللاخطي عن طريق زيادة تعقيد المتتابعة الناتجة من هذا المولد لزيادة أمنيته و قدرته على مواجهة التداخل و التشويش في أنظمة الاتصالات وقد حصلنا على تعقيد جيد بالمقارنة مع مولد أل (GMW) من خلال إعطاء بعض الأمثلة التي تبين كفاءة المولد الجديد, استخدمت لغة (Matlab) لبرمجة هذه الطريقة كما تم ذكر الخصائص المهمة لدالة الأثر.
Abstract EN
The paper presents a newly developed method depending on trace polynomial with new algorithm which has been written in Matlab language to modify the Gordon, Mills and Welch generator by increasing the complexity of the output sequence to increase the security of this generator concerning the designed feature that limits the ability of anti-jammer.
Good results are obtained compared with Gordon, Mills and Welch generator using Berlekamp-Massey method for determining the complexity of the output sequences.
Moreover, this paper has the useful properties of the trace function.
Some examples are given of show conciliated the results of this proposed method.
American Psychological Association (APA)
Kazim, Athir Jawad. 2007. A mathematical development of gordon, mills and welch generator using galois field and trace polynomials. Engineering and Technology Journal،Vol. 25, no. 08, pp.961-971.
https://search.emarefa.net/detail/BIM-52480
Modern Language Association (MLA)
Kazim, Athir Jawad. A mathematical development of gordon, mills and welch generator using galois field and trace polynomials. Engineering and Technology Journal Vol. 25, no. 08 (2007), pp.961-971.
https://search.emarefa.net/detail/BIM-52480
American Medical Association (AMA)
Kazim, Athir Jawad. A mathematical development of gordon, mills and welch generator using galois field and trace polynomials. Engineering and Technology Journal. 2007. Vol. 25, no. 08, pp.961-971.
https://search.emarefa.net/detail/BIM-52480
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 970-971
Record ID
BIM-52480