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| | unorde.red
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| | [AI summary] This article explains the Diffie-Hellman key exchange algorithm, its mathematical foundation in discrete logarithm problems, and its security implications in modern cryptography.
| | jeremykun.wordpress.com
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| | The Learning With Errors problem is the basis of a few cryptosystems, and a foundation for many fully homomorphic encryption (FHE) schemes. In this article I'll describe a technique used in some of these schemes called modulus switching. In brief, an LWE sample is a vector of values in $\mathbb{Z}/q\mathbb{Z}$ for some $q$, and in...
| | www.jeremykun.com
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| | Problem: Compute the product of two polynomials efficiently. Solution: import numpy from numpy.fft import fft, ifft def poly_mul(p1, p2): """Multiply two polynomials. p1 and p2 are arrays of coefficients in degree-increasing order. """ deg1 = p1.shape[0] - 1 deg2 = p1.shape[0] - 1 # Would be 2*(deg1 + deg2) + 1, but the next-power-of-2 handles the +1 total_num_pts = 2 * (deg1 + deg2) next_power_of_2 = 1 << (total_num_pts - 1).
| | blog.basistheory.com
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| A deep dive into the fundamentals of data encryption, from symmetric vs. asymmetric algorithms to encryption at rest and in transit.