# Monthly Archives: June 2012

## Hill Cipher

I. Consider the following equation where and represent two relatively prime integers (a) Verify that the ordered pair is a solution of Eq. (b) Use part (a) to find a parametric solution of Eq. (c) Derive an integer such that … Continue reading

Posted in Problem solving
Tagged cipher, decode, encode, grade 8, Hill Cipher, modulo arithmetic
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## No Integer Solutions

1. Show that the following system of equations has no integer solutions 2. Show that the following system of equations has no integer solutions Source: http://www.math.rutgers.edu/~erowland/modulararithmetic.html SOLUTION 1. We reduce the equations and hope to find a contradiction thereby showing … Continue reading

Posted in Problem solving
Tagged grade 8, modulo arithmetic, remainder, system of equations
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