Mathematics
10 articles tagged Mathematics.
Discrete Algorithms: The Mathematics of Decisions, Networks, and Digital Intelligence
When we think about algorithms, we often imagine a computer executing a series of instructions:
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Finite Fields: The Mathematics Behind Cryptography, Error Correction, and Digital Trust
Modern technology runs on mathematics that most people never see.
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The Future of Mathematics: AI’s Impact on the Field
Or, how AI Is Changing Mathematics
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Elliptic Curve Cryptography: The Tiny Keys That Protect the Internet
If 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.
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Selective Disclosure: The Math
Selective 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.
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Post-Quantum Cryptography (ML-KEM): The Math
ML-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,…
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Euler’s Identity: The Single Equation That Connects Five Fundamental Mathematical Constants
When 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 Constants
Zero-Knowledge Proofs: The Math
This is my second article about Zero-Knowledge Proofs (ZKPs). If you haven’t read it, check out Part 1 as a starting point.
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The First 1500 Hamming Numbers
I 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…
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