Author: jamespatewilliamsjr
Blog Entry Tuesday, March 22, 2022
Blog Entry Monday, March 21, 2022
Blog Entry of Saturday, March 19, 2022 – Derivation of the Classical Kinetic Energy from Einstein’s Famous Equation

Video Blog Entries of Wednesday, March 16, 2021






Blog Entry of Sunday February 6, 2022 by James Pate Williams, Jr.
This is a heavily edited version of an earlier blog entry of Wednesday February 2, 2022.
Blog Entry of Wednesday February 2, 2022 by James Pate Williams, Jr.
Blog Entry of January 27, 2022 by James Pate Williams, Jr
Blog Entry 01 11 2022 AES Exploration 2009 to 2018
Large Integer Packages by James Pate Williams Jr
Back in the late 1990s I trained myself in number theory and cryptography using the “Handbook of Applied Cryptography” by Alfred J. Menezes and his coeditors and the FreeLIP (Free Large Integer Package) package by Arjen K. Lenstra. FreeLIP is quite an elegant C library, but it is now considered obsolete. I know of MIRACL that was Henri Cohen’s favorite large integer library. I have four books in my personal library that have unsigned or signed multiple precision integer arithmetic code and/or algorithms: “A Numerical Library in C for Scientists and Engineers” by H .T. Lau, “Handbook of Applied Cryptography”, “Prime Numbers and Computer Methods of Factorization Second Edition” by Hans Riesel, and “Semi-numerical Algorithms Second Edition” by Donald Knuth. I also have several number theory and cryptography textbooks.
As an exercise in Python console programming, I translated my C# Visual Studio 2008 large integer code to Python. Back in 2008 Visual Studio C# did not support large integers. I used Riesel’s input and output code which was translated from Pascal code. I also utilized algorithms from the “Handbook of Applied Cryptography”. I included Sieve of Eratosthenes for primes <= 100,000, a trial division factoring algorithm, and programmed the Pollard rho factoring algorithm found in the handbook.
