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Unitary Perfect Polynomials Over GF(q)

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Unitary Perfect Polynomials Over GF(q)

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Title: Unitary Perfect Polynomials Over GF(q)
Author: Beard, Jacob T. B., Jr.
Abstract: For monic polynomials A(x), B(x) e GF[q,x], call B(x) a unitary divisor of A(x) provided (B(x),A(x)/B(x)) = 1 . The polynomial A(x) is called unitary perfect over GF(q) if and only if the sum [see pdf for notation] of the distinct unitary divisors of A(x) equals A(x). Principal results characterize all unitary perfect polynomials over GF(p) which split in GF[p,x].
URI: http://hdl.handle.net/10106/2192
Date: 1975-03

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