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

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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

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