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Article
On Artin Cokernel of The Group Dn×C7 When n is an Odd Number

Author: Amer Khraja Abed Al-shypany
Journal: Almuthanna Journal of Pure Science (MJPS) مجلة المثنى للعلوم الصرفة ISSN: 22263284 Year: 2016 Volume: 3 Issue: 2
Publisher: Al-Muthanna University جامعة المثنى

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Abstract

The group of all Z-valued generalized characters of G over the group of induced unit characters from allcyclic subgroups of G, AC(G)=


Article
Construct a New System as a Combining Function for the LFSR in the Stream Cipher Systems Using Multiplicative Cyclic Group

Authors: Mithaq Abdulkareem Abdulwahed --- Ayad G. Naser Al-Shammari
Journal: Iraqi Journal of Science المجلة العراقية للعلوم ISSN: 00672904/23121637 Year: 2018 Volume: 59 Issue: 3B Pages: 1490-1500
Publisher: Baghdad University جامعة بغداد

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Abstract

In this paper, we construct a new mathematical system as Multiplicative Cyclic Group (MCG), called a New Digital Algebraic Generator (NDAG) Unit, which would generate digital sequences with good statistical properties. This new Unit can be considered as a new basic unit of stream ciphers. A (NDAG) system can be constructed from collection of (NDAG) units using a Boolean function as a combining function of the system. This system could be used in cryptography as like as Linear Feedback Shift Register (LFSR) unit. This unit is basic component of a stream cipher system.


Article
On The Artin’s Exponent of Special Linear Group SL(3,p), p  5
حول أس آرتن للزمرة الخطية الخاصة

Author: Taghreed Hur Majeed تغريد حر مجيد
Journal: Journal of College of Education مجلة كلية التربية ISSN: 18120380 Year: 2013 Issue: 3 Pages: 53-68
Publisher: Al-Mustansyriah University الجامعة المستنصرية

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Abstract

The main purpose of this work is to find Artin’s exponent of finite special linear group from any arbitrary characters of cyclic subgroups of these special linear groups and denoted by a(SL(3,p)) where p is any prime number such that p  5 and we found that a(SL(3,p)) is equal to 2.

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