RSA-2D and other CrypTool RSA web apps
Deeply understand the maths underlying RSA from scratch
This workshop introduces the RSA-2D web app (at the time of the cfp still work in progress) and related RSA apps in the CrypTool online portfolio. RSA-2D uses a new geometric visualization of RSA based on the Chinese Remainder Theorem, which better meets standards of finite geometry than most of the graphics on this topic which are already available online.
This workshop introduces the RSA-2D web app as well as other CrypTool RSA related webapps, our interactive educational deep dive tools for exploring the foundations of RSA cryptography. The workshop focuses on the algebra behind RSA, including RSA exponents, the RSA modulus n, and the requirement that the exponent be coprime to \varphi(n).
A central topic is the Chinese Remainder Theorem and its visualization through the geometric RSA-2D model. Participants will learn how modular arithmetic and RSA structures can be represented geometrically to support a deeper conceptual understanding.
The workshop also addresses the encoding process in RSA, including the transformation of alphabetic text into numbers, the influence of different encodings, and the role of varying block lengths. Additional visualizations illustrate RSA operations and fixed points of RSA.
Participants will be able to experiment interactively with parameters, encodings, and visual models within the web app. The workshop is aimed at students and teachers interested in mathematics, cryptography, and interactive digital learning tools.