A Study On Message Exchanging Problems Using Numerical Computations Of A Group Of Matrices

Abstract

In the era of information technology the exchange of confidential newlineimportant secret messages play an important role every where These types newlineof messages include the characters of languages mono alphabetic and other newlinespecial characters poly alphabetic newlineFor example the exchange of user IDs Pass codes PAN or PIN newlineetc among the nearest one s becomes inevitable in today s scenario newlineTherefore it is very much needed to develop a methodology or an newlinealgorithm to fulfill the characteristics like authenticity and security of newlinemessage exchanging problems in a simple and versatile way where the flavor newlineof Mathematics is appreciably applied newlineIn view of this a simple and versatile mathematical methodology is newlinedeveloped for the message exchanging problems of messages with mono newlinealphabetic as well as poly alphabetic type with the help of non singular newlinediagonal matrices induced from many sources These matrices are used as newlineencoders along with their inverses as decoders newlineAlso this thesis depicts how the important characteristics of newlinemessage exchanging problems are inherited by the proposed methodology in newlineterms of numerical computations newlineThe methodology for message exchanging problems through newlineimages and message exchanging problems through regional languages are newlinealso modeled These models are explained with suitable illustrations and newlinenumerical computations The results are very much agreed to the higher level newlineof security and greater level of authenticity the important characteristics of a newlinemessage exchanging problem newlineThe numerical calculations show the validation of the methodology newlinefor its simple and versatile nature to the message exchanging problems of newlinemessages of any type of characters along with the extension to the messages newlinethrough images as well as the messages in terms of regional languages newline newline