Encoding and Decoding in Cryptography Using Inverse Matrix and Nonhomogeneous Matrix Methods

Information refers to any form of digital content stored electronically. Ensuring security means safeguarding valuable assets. Data security encompasses the digital protection protocols that block unauthorised access to computers, personal databases, and online platforms. Cryptography remains an evolving field with ongoing advancements. It helps protect users by offering tools for encrypting data and verifying the identity of users. Cryptography is widely used for confidentially transmitting sensitive information. Modern information security systems focus on key principles such as confidentiality, authenticity, integrity, and non-repudiation. This paper includes encoding and decoding using the nonhomogeneous matrix method AM =X. Where A is the encoding Matrix and M is the message matrix. X is an unknown message.