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Register a new userLinear Diophantine equation as public key of cryptography use ternary number system
معادلة ديوفانتس الخطية كمفتاح عام في التشفير باستخدام نظام العد الثلاثي
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في هذه الورقة العلمية سُنعرف المتجه المتعامد المضاعف لمعادلة ديوفانتس الخطية بشروط محددة , و سنقوم أيضاً بحل معادلة ديوفانتس الخطية مع هذا المتجه بالنظام الثلاثي و وضع العلاقات الخاصة لذلك , حيث ستأخذ المتحولات القيم من المجموعة {0,1,2} , كما سنقوم ببناء نظام تشفير يكون فيه المفتاح العام هو معادلة ديوفانتس ذات المتجه المتعامد المضاعف مع ذكر مثال تطبيقي عن هذا النظام .
In this paper , we will define multiple orthogonal vector of Diophantine equation on specific conditions. We will solve the Diophantine equation with this vector in ternary number system and develop special relationships for it , {0,1,2} , then we will present a new public key cryptosystem based on multiple orthogonal vector with an example to illustrate the system.
References used
KOBLITZ.N-1987 A course in number theory and cryptography, New York , Spring
ROSEN,K.H-1983 Elementary number theory and it is applications December.p462
DING,C,D.Pei and SALOMAA,A–1996 Chinese remainder theorem application in computing , coding , cryptography August
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