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YAMT: Constructing fields with 5 elements

S

Syringer

Lifer
So I was able to construct a field with 3 elements which I'm sure is correct..which includes -1, 0, and 1. However I have no idea how to create a field with 5 elements..and also 4 and 6. Anyone help?😕
 
Z/5Z and Z/4Z are fields with 5 and 4 elements. There are no fields with 6 elements since all finite fields must have order p^a. Where p is prime and a is a positive integer.
 
Originally posted by: SpecialEd
Z/5Z and Z/4Z are fields with 5 and 4 elements. There are no fields with 6 elements since all finite fields must have order p^a. Where p is prime and a is a positive integer.
Click to expand...

I just learned this in the Cryptology class that I just dropped.

*edit* Cryptology is 😎, but it doesn't change the fact that I suck at math 🙁
 
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