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1.7. We consider the ring Z4. Construct a table which describes the addition of all elements in the ring with each other: 26 1 IntroductiontoCryptographyandDataSecurity

1.7. We consider the ring Z4. Construct a table which describes the addition of all elements in the ring with each other:

26 1 IntroductiontoCryptographyandDataSecurity

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1: Construct the multiplication table for Z4.

2: Construct the addition and multiplication tables for Z5.

3: Construct the addition and multiplication tables for Z6.

4: There are elements in Z4 and Z6 without a multiplicative inverse. Which elements are these? Why does a multiplicative inverse exist for all nonzero elements in Z5?

3 1-12 001 : +0123

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