02 congruence, mod systems, integers mod n

                    properties under + and *

                    additive inverses

                    commutative rings with unity
                       the case of p a prime

                    shift cipher again    
                        practical limitations
                        efficientcy and security
  
                    simple substitution cipher
                        key space
                        affine cipher


                    the cancellation law

                    solvability of linear congruences...
                    relatively prime
                      multiplicative inverse
             
                   
                               

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