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Testing the Randomness and Using the Digital Sequences of GF(5) in Cryptography
واستخدامھا في مجال علم التشفیر GF( اختبار عشوائیة متتابعات الحقل الرقمیة ( 5

Author: Ayad Ghazi Naser Al-Shammari أیاد غازي ناصر الشمري
Journal: AL-MANSOUR JOURNAL مجلة المنصور ISSN: 18196489 Year: 2013 Issue: 20 Pages: 145-160
Publisher: Private Mansour college كلية المنصور الاهلية

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Abstract

In this paper, first, the Golomb’s postulates of randomness are expanded toconstruct a good mathematical base, and then expand the binary standardrandomness tests to be suitable to be applied on penta-sequences this mean theelements of the sequence belong to Galois Field GF(5). Second we will showusefulness of using penta-sequences in cryptography. The paper also includes sometables describe the tests results of the penta-sequences generated from some digitalgenerators, like the Multiplicative Cyclic Group System (MCGS). The proposedcryptosystem using the GF(5)-sequences will compress or minimizing the ciphertextsize comparing with the cryptosystems using GF(2)-sequences.

في ھذا البحث تم توسیع بدیھیاتفي ھذا .GF( الاختبارات الثنائیة العشوائیة وتحویرھا لتلائم اختبار المتتابعات الخماسیة التي تنتمي للحقل كالوا ( 5البحث تم عرض فائدة المتتابعات الخماسیة في حقل التشفیر. تضمن عرض نتائج الاختبارات للمتتابعات الرقمیة الخماسیة.(MCGS) المولدة من بعض المولدات الرقمیة مثل مولد الزمرة الضربیة الدوارةسوف یضغط أو یقلل من حجم النص المشفر بالمقارنة GF( نظام التشفیر المقترح باستخدام متتابعات الحقل ( 5.GF( مع أنظمة التشفیر التي تعتمد على متتابعات الحقل (


Article
A new approximate solution for the Telegraph equation of space-fractional order derivative by using Sumudu method

Authors: Ayad Ghazi Naser Al-Shammari --- Wurood R. Abd AL-Hussein --- Mohammed G. S. AL-Safi
Journal: Iraqi Journal of Science المجلة العراقية للعلوم ISSN: 00672904/23121637 Year: 2018 Volume: 59 Issue: 3A Pages: 1301-1311
Publisher: Baghdad University جامعة بغداد

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Abstract

In this work, we are concerned with how to find an explicit approximate solution (AS) for the telegraph equation of space-fractional order (TESFO) using Sumudu transform method (STM). In this method, the space-fractional order derivatives are defined in the Caputo idea. The Sumudu method (SM) is established to be reliable and accurate. Three examples are discussed to check the applicability and the simplicity of this method. Finally, the Numerical results are tabulated and displayed graphically whenever possible to make comparisons between the AS and exact solution (ES).

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