Cryptography Explorer (Version 2.12.1)

The Cryptography Explorer program was developed for the investigation of cryptography and cryptanalysis. It was developed as a teaching tool to try to remove the tedious calculations but still require the user to make the decisions for the processes and analysis. This is a Java application, so if the Java JRE is not installed on your computer download and install the current version of the Java JRE (Version 8 or later). You can get the most current version at the Java Web Site.

Downloads

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Screen Shots: Images open in a new window.

Course Materials to Accompany the Program

• Cryptography Notes: Technology Guide on Using Mathematica, Maxima, and Cryptography Explorer
• Technology Guides for Mathematica, Maxima, and Cryptography Explorer: With an Emphasis on Cryptographic Applications
• Maxima Support Functions - Support Function Documentation
• Mathematica Support Functions

Program Features

License

This software is distributed under the GNU General Public License version 3

Copyright (C) 2019 Don Spickler

This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details http://www.gnu.org/licenses/.

Update History

10/25/19: Version 2.12.1

• Added a B-Smooth Number Finder for the Index Calculus discrete logarithm algorithm.

10/16/19: Version 2.11.1

• Updated the B-Smooth numbers finder grid to be multi-selectable. This allows highlighting and copy of multiple rows which makes it easier to view the desired small prime factorizations.

7/16/19: Version 2.10.1

• Added an Elliptic Curve Calculator

11/10/15: Version 2.9.1

• Added a B-Smooth Number Finder for the investigation of the Quadratic Sieve factoring algorithm.

8/6/15: Version 2.8.2

• Bug Fix: Fixed a bug in the input boxes that take multiple numbers as input, such as the RSA algorithm. Bug found during testing.

8/3/15: Version 2.8.1

• Added editing pop-up menus to all input and output editing boxes.

7/24/15: Version 2.7.1

• Added facilities to the Modular Matrix Calculator tool for copying the matrices to Mathematca matrix format and to Maxima matrix format.

7/13/15: Version 2.6.1

• Added facilities to the Gridpad tool for copying the grid contents to Mathematca matrix format and to Maxima matrix format.

7/6/15: Version 2.5.1

• Added a Mode selection to the Hill Cipher tool.

6/5/15: Version 2.4.1

• Added a hill climb analysis tool for substitution ciphers.
• Added a Gridpad tool for manipulating grid type data.

5/11/15: Version 2.3.1

• Added trigram and n-gram options to the frequency analysis tool.
• Added double factorial and quick semiprime calculation to the integer calculator.

4/17/15: Version 2.2.1

• Changed the name to Cryptography Explorer. Since the purpose of the program is educational, it seemed to be a more appropriate name.
• Incorporated worker threads for lengthy processes.
• Added Ciphers
  • Mono-Alphabetic Substitution - Random Kama-Sutra Key Generator
  • Vigenere - Plaintext and Ciphertext Autokey options.
  • Scytale
  • Rail Fence
  • Columnar
  • Two Square
  • Four Square
  • ElGamal
• Added Tools
  • Kasiski's Method
  • Text Converter - Several new conversion options added.
  • Integer Calculator
    • GCD on lists.
    • Decimal and Integer Square Roots
    • Chinese Remainder Theorem on arbitrary length lists of congruences.
    • Jacobi Symbol
    • Previous primes.
    • Nth prime
    • Number of primes less than N
    • Euler Totient function
    • Primitive root calculations
    • Primitive root verification
    • Integer Factoring
    • Discrete Logarithm calculations
    • Expression Evaluator
  • Factoring Tools
    • Brute Force Factoring
    • Fermat Factoring
    • Pollard P - 1 Factoring
    • Williams P + 1 Factoring
    • Pollard Rho Factoring
    • Brent's Method Factoring
    • Quadratic Sieve Factoring
    • Multiple Polynomial Quadratic Sieve Factoring
    • Lenstra's Elliptic Curve Factoring
    • Multiple Factoring Methods
  • Discrete Logarithm Tools
    • Brute Force Discrete Logarithm
    • Pohlig-Hellman Discrete Logarithm
    • Pollard Rho Discrete Logarithm
    • Pohlig-Hellman with Pollard Rho Discrete Logarithm
    • Index Calculus Discrete Logarithm
    • Variant of the Index Calculus Discrete Logarithm

2/3/15: Version 2.1.2

• Recompiled with new grid tool for faster spreadsheet operation.
• Extended the Hill cipher matrices to a maximum size of 20 X 20.
• Changed the algorithm for Hill matrix inverse checking.
• Extended the matrix calculator matrices to a maximum size of 100 X 100.
• Bug Fix: Fixed a bug in the input checking of the Hill cipher matrix. Bug found during testing.

2/2/15: Version 2.1.1

• Added a modular matrix calculator, a simple matrix manipulator and arithmetic tool. Each matrix has an associated modulus for all calculations. Reduction, inverses and matrix arithmetic is done over the associated modulus.

1/26/15: Version 2.0.1

• Revised the user interface on all input and output boxes, and on all tables.
• Added Undo and Redo capabilities to all input boxes.
• Added the ability to do all text conversions in the input boxes.
• Revised the printing facilities on all program input, output, and reporting features.
• Added print preview facilities on all program input, output, and reporting features.
• Added word and character count statistics to input and output boxes.
• Added the ability to create user-defined languages with relative frequencies for each character.
• Added several new text converters.
• Added LaTeX table and array formatting copy options to many of the tables and matrices.
• Added Mathematica and Maxima syntax copy options to the Hill cipher matrices.
• Added open child window tracking in the Window sub menu.
• Revised all bar charts to produce better images, as well as print and print preview options.
• Combined the prime number facilities into the Integer Calculator and added some integer calculation facilities.
• Added a collapsible Quick Help system that is linked to the currently selected child window.
• Revised and updated the help system.

9/24/09: Version 1.2.1

• Added an LFSR Cipher Analysis window for determining the key recurrence relation given a portion of the key.
• Fixed some minor user interface problems.

9/22/09: Version 1.1.1

• Added a random number generator that uses either the linear congruential algorithm, Java's built-in Random cLass or the Blum-Blum-Shub algorithm.

8/25/09: Version 1.0.1

• First public release.

Third Party Software Used

• JLaTeXMath: (by Calixte Denizet and Sylvestre Ledru): One component in the matrix workspace display framework of the modular matrix calculator.
• Oracle Help for Java: (Oracle): The help system.
• JFreeChart: (by David Gilbert): Renders all of the bar charts in the program.