What Is Primitive Polynomial
Answers
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A primitive polynomial is a polynomial that generates all elements of an extension field from a base field. Primitive polynomials are also irreducible polynomials. For any prime or prime power and any positive integer , there exists a primitive polynomial of degree over GF( ).....
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Answer:
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Step-by-step explanation:
In field theory, a branch of mathematics, a primitive polynomial is the minimal polynomial of a primitive element of the finite extension field GF(pm). In other words, a polynomial F(X) with coefficients in GF(p) = Z/pZ is a primitive polynomial if its degree is m and it has a root α in GF(pm) such that {0, 1, α, α2, α3, ..., αpm−2} is the entire field GF(pm). This means also that α is a primitive (pm − 1)-root of unity in GF(pm).
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