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class-groups

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A scheme to implement finite groups as oblivious data structures. The oblivious operations are defined by a set of secure multiparty computation (MPC) protocols. Practical protocols are presented for the group of quadratic residues, elliptic curves groups and class groups of imaginary quadratic orders.

  • Updated Dec 14, 2021
  • Python

This repository contains the TeX source and PDF of a proof of a conjecture of Franz Lemmermeyer. The result is a reflection principle bounding the p-rank of the class group of one number field in terms of another. I am publishing it here to make it freely available to the public, as I do not plan to submit it to a journal.

  • Updated Oct 4, 2026
  • TeX

Three barrier results for classical RSA semiprime factorization: Joux–Buchmann smoothness, Pell trace compression, and CRT walls. AI-assisted exploratory mathematics.

  • Updated May 10, 2026
  • HTML

Browser-based Verifiable Delay Function — repeated modular squaring (y = x^(2^T) mod N) in an RSA group with a Wesolowski short proof. Watch sequential work accrue one squaring at a time, confirm parallel workers don't speed it up, then verify the proof instantly and reveal the trapdoor that collapses the delay.

  • Updated Oct 1, 2026
  • TypeScript

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