👉 The planned math will involve a deep dive into abstract algebra and number theory, focusing on the properties of finite fields and their applications in cryptography. We'll explore how these mathematical structures underpin secure communication protocols, such as elliptic curve cryptography, and delve into the implications of the Fundamental Theorem of Finite Fields on coding theory and error correction. The discussion will also touch on computational complexity, examining the efficiency of algorithms related to discrete logarithms and factorization, which are crucial in assessing the security of current cryptographic systems.
