2-D Information Encoding for Lattice-Based Encryption Scheme using Entropy Approach for Futuristic Applications

Lattice-based cryptography stands as a cryptographic paradigm anchored in the mathematical concept of lattices, geometric structures proficient in addressing various mathematical problems like identifying the shortest vector within each lattice or solving specific systems of linear equations. This approach brings forth distinct advantages over alternative cryptographic schemes. Principally, it ensures provable security against quantum computers, providing a robust alternative to classical cryptographic schemes susceptible to quantum threats. Moreover, lattice-based cryptography demonstrates remarkable flexibility, enabling the implementation of a broad spectrum of cryptographic primitives, including encryption, digital signatures, and key exchange[2].The efficiency of lattice-based cryptography extends to its adaptability across a diverse array of devices, ranging from small embedded systems to expansive cloud computing platforms. This versatility positions it as a highly adaptable cryptographic framework suitable for a wide range of applications, encompassing secure communication, data storage, and authentication.In the broader context of contemporary computing challenges, the manifold advantages of lattice-based cryptography propel it into the forefront of cryptographic research. This paper aims to delve into an exploration of the entropy generated by lattice points, contributing to the ongoing discourse on the multifaceted capabilities of lattice-based cryptographic schemes.