The increasing reliance on telecommunication technologies across various domains has raised concerns surrounding data security and privacy during transmission. In response to these concerns, this study introduces a different approach to cryptographic algorithm construction, utilizing cellular automata (CA). The idea involves designing an encryption algorithm based on a specific class of one-dimensional CA, incorporating elementary evolution rules specifically constructed to establish a reversible system, thereby enhancing information preservation and security. The encryption process involves forward iteration of the system, while decryption employs backward iteration, both processes being based on the same rule. Classified as a symmetric key cryptosystem within the stream cipher framework, the proposed algorithm was implemented using a Field Programmable Gate Array (FPGA) device (XILINX Spartan3E) at the hardware-level, complemented by software applications developed using the C# programming language. Testing on the experimental findings was conducted to check the efficacy of the proposed algorithm in ensuring information security and randomness, confirming its viability for practical encryption applications.