Information Communication and Network Security System Modelling using Geometry Based Block Code in Information Theory (GBCIT) Technique

Abstract:

Information are transmitted over networks between two or more communicating and co-operating parties, through an established logical information channel which defines a route from source to destination, this method of information transmission in recent time, has becomes vulnerable to third party’s threat to confidentiality, authenticity and security of such information. To alleviate these challenges, this work presents the design of a novel information communication and Network security model using Geometry Based Block Code in Information Theory (GBCIT) Technique. To this effect, a new concept is introduced to coding theory, codes C (where C∈ Z_(2k+1)^2,k∈Z^+) were expressed as set of blocks B(x_i,y_i ),x_i,y_i∈Z(2k+1) is a prime integer. Each block is isomorphic to any other points on the same code. As a result, a key was formulated which serve as check to know whether a block in a code is a representative of the set code or not. This serve as key dual function to decode a message which is transfer through a noisy channel and to check redundancy in data transmission. In this work, blocks Bi in code C∈ Z_(2k+1)^2 were discussed. A comparison was made between each code generated from Z_(2k+1)^2, as a result, codes with B_(2k+1) (aβ,aγ) is isomorphic to B_(2k+1) (β,γ) for β,γ a coprime.

Keywords: Block, Code, Near-linear geometries, Network Security, information transmission, Information theory.