9 articles tagged Mathematics.
When we think about algorithms, we often imagine a computer executing a series of instructions:
Read article: Discrete Algorithms: The Mathematics of Decisions, Networks, and Digital IntelligenceModern technology runs on mathematics that most people never see.
Read article: Finite Fields: The Mathematics Behind Cryptography, Error Correction, and Digital TrustOr, how AI Is Changing Mathematics
Read article: The Future of Mathematics: AI’s Impact on the FieldIf you’ve spent any time reading about modern cryptography, you’ve probably encountered the phrase Elliptic Curve Cryptography (ECC). It sounds less like a security technology and more like an elective mathematics course that everyone regrets taking — I’ve been in several of those.
Read article: Elliptic Curve Cryptography: The Tiny Keys That Protect the InternetSelective Disclosure is fundamentally a mathematical concept. The protocols (SD-JWT VC, BBS-2023, AnonCreds, Idemix, U-Prove, etc.) are really just engineering built on top of several branches of mathematics.
Read article: Selective Disclosure: The MathML-KEM (Module-Lattice-Based Key Encapsulation Mechanism), formerly known as CRYSTALS-Kyber, is the post-quantum key exchange algorithm standardized by National Institute of Standards and Technology as FIPS 203. Its security is based on the difficulty of certain problems in lattice cryptography,…
Read article: Post-Quantum Cryptography (ML-KEM): The MathWhen I was writing the Zero Knowledge Proofs: The Math blog post, I had the bright (read stupid) idea of asking ChatGPT to generate an image about math. It didn’t matter which math, didn’t specifically mention ZPTs in the prompt. It initially generated the above image. It’s a good image. It’s the…
Read article: Euler’s Identity: The Single Equation That Connects Five Fundamental Mathematical ConstantsThis is my second article about Zero-Knowledge Proofs (ZKPs). If you haven’t read it, check out Part 1 as a starting point.
Read article: Zero-Knowledge Proofs: The MathI haven’t had a chance to post anything here since the beginning of last semester. I’m in a class at the moment where all of the programming assignments involves annoying little math algorithms. The most recent required us to generate the first N hamming numbers using an efficient algorithm that…
Read article: The First 1500 Hamming Numbers
