CRYPTOGRAPHY AND INFORMATION SECURITY BASED ON THEORETICAL FOUNDATIONS

In today's digital world, safe communication and data protection are based on cryptography and information security. The theoretical underpinnings of cryptography serve as the foundation for the creation of reliable algorithms and protocols that guarantee the confidentiality, integrity, and validity of data. The theoretical underpinnings and concepts that guide the creation and use of safe cryptographic systems are highlighted in these subjects. Researchers and practitioners can learn more about the innovations, approaches, and problems that have been solved in the area of information security.This encompasses post-quantum cryptography, multi-factor authentication, homomorphic encryption, zero-knowledge proofs, secure hardware, blockchain technology, and threat intelligence with machine learning. These methods demonstrate the variety of strategies used to safeguard private data and counter new dangers. Finally, various methods for information security and cryptography are provided. These include differential privacy, secure multi-party computation, homomorphic encryption, zero-knowledge proofs, multi-factor authentication, postquantum cryptography, blockchain technology, secure hardware, quantum key distribution, and secure hardware. Potential methods to improve the security and privacy of data in various circumstances are provided by these proposed strategies. The knowledge gleaned from this research aids in the ongoing development and enhancement of information security and cryptography in the always changing digital environment.