The Latin Square Toolbox contains software tools for efficiently generating Latin squares and counting their transversals with various user-configurable options.

This open source release aims to help educate folks on Latin squares and their important applications to cryptography. This version contains three tools:
0. Latin Square Generator (LSG)
1. Latin Square Transversal Counter (LSTC)
2. Latin Square Property Checker (LSPC)

Features

  • A recursive selection-based algorithm for efficiently generating Latin square data sets
  • A new recursive "lifting-and-merging" algorithm for efficiently generating super-symmetric Latin squares
  • Counts and prints Latin square transversals
  • Determines if a square is a Latin square
  • Several user-configurable options for job output

Project Samples

The Latin Square Generator Tool generates a size 3 data set of order-9 Latin squares and prints them in ordered-triple format The Latin Square Generator Tool generates a size 3 data set of order-9 Latin squares and prints them in human-readable format The Latin Square Generator Tool generates an order-9 Latin square, and then counts the number of its transversals and prints its transversal heat map (with non-uniform heat values) in human-readable form The Latin Square Generator Tool generates an order-9 super-symmetric Latin square, counts the number of its transversals, and prints its heat map (with uniform heat values) in human-readable form The Latin Square Transversal Counter Tool processes a size 10 data set of order-9 Latin squares stored in an input file to count the number of their transversals and print a final job summary report that includes additional transversal results (the quiet flag is on, so the individual results for each square are not printed) The Latin Square Property Checker Tool processes a size 2 data set of order-9 squares stored in a user-written input file and determines that one is a Latin square and one is *not* a Latin square.

Project Activity

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Categories

Cryptography, Algorithms, Mathematics, Encryption Algorithms

License

MIT License

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Additional Project Details

Operating Systems

Linux

Intended Audience

Information Technology, Science/Research, Education, Developers, Security Professionals, Security

User Interface

Console/Terminal, Command-line

Programming Language

Java

Related Categories

Java Cryptography Software, Java Algorithms, Java Mathematics Software, Java Encryption Algorithms

Registered

2016-11-04
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