other Mathematical Modeling and Applications of OR Mathematical Modeling and Applications of OR پژوهشی Original <span style="font-size:11pt"><span style="line-height:107%"><span style="font-family:&quot;Calibri&quot;,sans-serif"><b><i><span style="font-family:&quot;Times New Roman&quot;,serif">T</span></i></b><i><span style="font-family:&quot;Times New Roman&quot;,serif">oday, a high volume of multimedia information is transmitted in computer networks, such as the internet, that the requirement for achieving high security level against unauthorized access. the visual secret sharing scheme is a cryptographic system without requiring a secret key that is able to encrypt information in a multi - user computer network. in this research, a visual secret sharing scheme including two strategies for binary communications and multiple relationships were considered. in binary communications, an entity plays a role in the role of the server and an entity in the role of the client &#39;s service in this strategy using a network - based visual secret sharing scheme ( 2 , 2 ) a secure approach to establish double relations where the provider entity is sending confidential information after authentication of the client &#39;s service. then, two main phases of registration and verification are performed on the basis of the visual secret sharing scheme based on random networks. in tuple communication ( n , n ) an entity plays a role in the role of the server and several entities in the role of the service, and then two main phases of registration and verification are executed.</span></i><i> </i><i><span style="font-family:&quot;Times New Roman&quot;,serif"></span></i></span></span></span><br> &nbsp; security, communication, computer networks, visual secret sharing, random networks. 149 163 http://iors.ir/journal/browse.php?a_code=A-10-1422-63&slc_lang=other&sid=1 Avishan Salehi Avishan Salehi avishan.s.1996@gmail.com 1111111111 1111111111 No Department of Industrial Engineering, Mazandaran University of Science & Technology, Babol, Iran Department of Industrial Engineering, Mazandaran University of Science & Technology, Babol, Iran Nikbakhsh Javadian نیکبخش جوادیان : nijavadian@ustmb.ac.ir 1111111111 1111111111 Yes Department of Industrial Engineering, Mazandaran University of Science & Technology, Babol, Iran Department of Industrial Engineering, Mazandaran University of Science & Technology, Babol, Iran