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Generate Polynomials

What Type?   (pick one)
Irreducible polynomials over GF(2)   [IMG = Green Check]  
Irreducible polynomials over GF(3)   [IMG = Green Check]  
Irreducible polynomials over GF(4)   [IMG = Green Check]  
Irreducible polynomials over GF(5)   [IMG = Green Check]  
Irreducible polynomials over GF(7)   [IMG = Green Check]  
Irreducible polynomials over GF(8)   [IMG = Green Check]  
Primitive polynomials over GF(2)   [IMG = Green Check]  
Primitive polynomials over GF(3)   [IMG = Green Check]  
Primitive polynomials over GF(4)   [IMG = Green Check]  
Primitive polynomials over GF(5)   [IMG = Green Check]  
Primitive polynomials over GF(7)   [IMG = Green Check]  
Primitive polynomials over GF(8)   [IMG = Green Check]  

Input:  
n = The degree of the polynomial   [IMG = Green Check]  
m = The maximum number of non-zeroes coefficients   [IMG = Green Check]  

Output:
String representation   [IMG = Green Check]  
Coefficients   [IMG = Green Check]  
Polynomials   [IMG = Green Check]  

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